https://users.fmf.uni-lj.si/kozak/wikislo/index.php?feed=atom&target=Kozak&title=Posebno%3APrispevkiJernej Kozak - Uporabnikovi prispevki [sl]2026-06-24T05:26:35ZIz Jernej KozakMediaWiki 1.16.2https://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2017-02-08T10:31:55Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
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* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PNSurfaces/PNsurfaces.pdf A quaternion approach to polynomial PN surfaces], Comput. Aided Geom. Des., 47 (2016), pp 172-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2016.05.007 the link].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2017-02-08T10:26:43Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PNSurfaces/PNsurfaces.pdf PNSurfaces], Comput. Aided Geom. Des., 47 (2016), pp 172-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2016.05.007 the link].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2017-02-08T10:22:20Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
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* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PNSurfaces/PNSurfaces.pdf PNSurfaces], Comput. Aided Geom. Des., 47 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2016.05.007 the link].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2016-08-17T07:52:17Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Če razpisanih terminov ni, se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2015-2016 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2015-2016 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2016-03-31T10:30:14Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2016-03-30T19:11:27Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
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* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2016-03-08T17:32:29Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Če razpisanih terminov ni, se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2015-2016 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2015-2016 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2016-02-27T17:19:14Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dno_re%C5%A1evanje_parcialnih_diferencialnih_ena%C4%8Db_2015-2016Numerično reševanje parcialnih diferencialnih enačb 2015-20162016-02-23T17:08:20Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': Jan Grošelj<br />
<!--[http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]--><br />
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<br><br />
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'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
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'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
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'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
* K.W. Morton, D.F. Mayers, <em>Numerical Solution of Partial Differential Equations</em>, Cambridge University Press, Cambridge, 1994.<br />
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<!--<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2016-01-25T08:45:02Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23, Issue 4, (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2015-12-11T09:03:17Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], to appear in Comput. Aided Geom. Des. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23, Issue 4, (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2015-2016Numerična aproksimacija in interpolacija 2015-20162015-10-06T15:50:00Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1516.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': Jan Grošelj <br />
<!--[http://www.fmf.uni-lj.si/~krajncm Jan Grošelj]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2015-09-21T16:24:05Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2015-2016 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2015-2016 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dno_re%C5%A1evanje_parcialnih_diferencialnih_ena%C4%8Db_2015-2016Numerično reševanje parcialnih diferencialnih enačb 2015-20162015-09-14T07:22:58Z<p>Kozak: Nova stran z vsebino: [http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam n...</p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': <br />
<!--[http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
<br><br />
<br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
* K.W. Morton, D.F. Mayers, <em>Numerical Solution of Partial Differential Equations</em>, Cambridge University Press, Cambridge, 1994.<br />
<br><br />
<br />
<!--<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2015-09-14T07:22:49Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v ponedeljek, v času 10-12, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2015-2016 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2015-2016 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dno_re%C5%A1evanje_parcialnih_diferencialnih_ena%C4%8Db_2014-2015Numerično reševanje parcialnih diferencialnih enačb 2014-20152015-09-14T07:21:48Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': <br />
<!--[http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
<br><br />
<br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
* K.W. Morton, D.F. Mayers, <em>Numerical Solution of Partial Differential Equations</em>, Cambridge University Press, Cambridge, 1994.<br />
<br><br />
<br />
<!--<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dno_re%C5%A1evanje_parcialnih_diferencialnih_ena%C4%8Db_2014-2015Numerično reševanje parcialnih diferencialnih enačb 2014-20152015-09-14T07:21:05Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': <br />
<--![http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
<br><br />
<br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
* K.W. Morton, D.F. Mayers, <em>Numerical Solution of Partial Differential Equations</em>, Cambridge University Press, Cambridge, 1994.<br />
<br><br />
<br />
<!--<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dno_re%C5%A1evanje_parcialnih_diferencialnih_ena%C4%8Db_2014-2015Numerično reševanje parcialnih diferencialnih enačb 2014-20152015-09-14T07:20:47Z<p>Kozak: Nova stran z vsebino: [http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam n...</p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/matematika-II/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': <--![http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
<br><br />
<br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
* K.W. Morton, D.F. Mayers, <em>Numerical Solution of Partial Differential Equations</em>, Cambridge University Press, Cambridge, 1994.<br />
<br><br />
<br />
<!--<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2015-2016Numerična aproksimacija in interpolacija 2015-20162015-09-14T07:18:41Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': Jan Grošelj <br />
<!--[http://www.fmf.uni-lj.si/~krajncm Jan Grošelj]--><br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi s kvizom.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2015-2016Numerična aproksimacija in interpolacija 2015-20162015-09-14T07:14:35Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': Jan Grošelj [http://www.fmf.uni-lj.si/~krajncm Jan Grošelj]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2015-2016Numerična aproksimacija in interpolacija 2015-20162015-09-14T07:08:21Z<p>Kozak: Nova stran z vsebino: [http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si splet...</p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2015-09-14T07:08:02Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v ponedeljek, v času 10-12, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2015-2016 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2014-2015 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2015-09-14T07:06:12Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v ponedeljek, v času 10-12, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2015/2016===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb 2014-2015 |Numerično reševanje parcialnih diferencialnih enačb]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_analizaNumerična analiza2015-09-05T07:02:41Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/univerzitetni-matematika/smer-racunalnistvo/numericna-analiza/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Tri domače naloge in dodatna za tiste, ki zamudijo dogovorjeni rok. Opravljene naloge so predpogoj za pristop k pisnemu izpitu. Če so domače naloge sprejete v celoti (torej tri ali po potrebi štiri), veljajo za vedno. <br />
* Dva kolokvija, neobvezna. Če je skupna ocena kolokvijev pozitivna, je kandidat oproščen pisnega dela izpita. Pozitivna ocena kolokvijev z leti ne ugasne.<br />
* [[Pisni in ustni izpit]]. Pisni izpit je potreben, če niste uspeli s kolokviji. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEUvod.nb Reševanje parcialnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEElipticne.nb Reševanje parcialnih diferencialnih enačb: eliptični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEParabolicne.nb Reševanje parcialnih diferencialnih enačb: parabolični problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/PDEHiperbolicne.nb Reševanje parcialnih diferencialnih enačb: hiperbolični problemi]<br />
<br><br />
<br />
'''Dopolnilno gradivo'''<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_II_(I%C5%A0RM)Numerične metode II (IŠRM)2015-09-05T07:01:50Z<p>Kozak: </p>
<hr />
<div>[http://www.fri.uni-lj.si/si/izobrazevanje/dodiplomski_studij/univerzitetni_interdisciplinarni_program/predstavitev_predmetov/drugi_letnik/1315/class.html Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja.<br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi, predpogoj za pristop k pisnemu izpitu.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit]. <br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/UvodvAproksimacijo.pdf Uvod v aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/Interpolacija.pdf Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
<br />
'''Dopolnilno gradivo, za zahtevnejše'''<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
<!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza,] v pripravi. Do IV. dela (Parcialne diferencialne enačbe).--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_I_(I%C5%A0RM)Numerične metode I (IŠRM)2015-09-05T07:00:46Z<p>Kozak: </p>
<hr />
<div>[http://www.fri.uni-lj.si/si/izobrazevanje/dodiplomski_studij/univerzitetni_interdisciplinarni_program/predstavitev_predmetov/drugi_letnik/1311/class.html Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://valjhun.fmf.uni-lj.si/~emil Emil Žagar]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi, predpogoj za pristop k pisnemu izpitu.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit]. <br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* B. Plestenjak, [http://www-lp.fmf.uni-lj.si/plestenjak/vaje/nafgg/nafgg_predavanja.htm prosojnice.] Prvih osem.<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
<br><br />
<br />
'''Dopolnilno gradivo, za zahtevnejše'''<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_I_(prakti%C4%8Dna_matematika)Numerične metode I (praktična matematika)2015-09-05T07:00:12Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/prakticna-matematika/numericne-metode-I/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Štiri domače naloge. Opravljene naloge so predpogoj za pristop k pisnemu izpitu. <br />
* Dva kolokvija. Če je skupna ocena kolokvijev pozitivna, je kandidat oproščen pisnega dela izpita.<br />
* [[Pisni in ustni izpit]]. Pisni izpit je potreben, če niste uspeli s kolokviji. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
* Ocena pisnega dela izpita se določi kot povprečje ocene iz kolokvijev ali pisnega dela izpita. Vsaka od upoštevanih ocen zase mora biti pozitivna.<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* B. Plestenjak, prosojnice:<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_01.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_02.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_04.pdf Sistemi linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_03.pdf Sistemi nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_05.pdf Posebni sistemi linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_06.pdf Ortogonalni razcepi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_07.pdf Splošni problem lastnih vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI_praktiki/Prosojnice/fgg_08.pdf Posebni problemi lastnih vrednosti]<br />
<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
<br><br />
<br />
'''Dopolnilno gradivo, za zahtevnejše'''<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Uvod_v_numeri%C4%8Dne_metode_(matematika)Uvod v numerične metode (matematika)2015-09-05T06:59:06Z<p>Kozak: </p>
<hr />
<div>[https://www.fmf.uni-lj.si/si/studij-matematike/matematika-I/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice (B.Plestenjak, J.Kozak)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/UvodvAproksimacijo.pdf Uvod v aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/Interpolacija.pdf Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/UvodVNumericneMetode/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
<!--<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
* L. N. Trefethen, D. Bau, <em>Numerical Linear Algebra</em>, SIAM, Philadelphia, 1997. <br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_(I%C5%A0RM)Numerične metode (IŠRM)2015-09-05T06:58:29Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/interdisciplinarni-univerzitetni-studijski-program-racunalnistvo-in-matematika/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~muhic/si/ Andrej Muhič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice (B.Plestenjak, J.Kozak)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/UvodvAproksimacijo.pdf Uvod v numerično aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/Interpolacija.pdf Interpolacija]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeISRM/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
--><br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
* L. N. Trefethen, D. Bau, <em>Numerical Linear Algebra</em>, SIAM, Philadelphia, 1997. <br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_2_(I%C5%A0RM)Numerične metode 2 (IŠRM)2015-09-05T06:57:59Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/interdisciplinarni-univerzitetni-studijski-program-racunalnistvo-in-matematika/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice ( J.Kozak, B.Plestenjak)<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/UvodvAproksimacijo.pdf Uvod v numerično aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/Interpolacija.pdf Interpolacija]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeII_ISRM/Prosojnice/NavadneDiferencialneEnacbeRobni.pdf Navadne diferencialne enačbe: robni problemi]<br />
<!--<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
--><br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku.<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_II_(finan%C4%8Dna_matematika)Numerične metode II (finančna matematika)2015-09-05T06:57:07Z<p>Kozak: </p>
<hr />
<div>[https://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice (J.Kozak, B.Plestenjak)<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/UvodvAproksimacijo.pdf Uvod v aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Interpolacija.pdf Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
<!--<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
* B. Plestenjak, <em>Razširjen uvod v numerične metode</em>, v tisku. <br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
* L. N. Trefethen, D. Bau, <em>Numerical Linear Algebra</em>, SIAM, Philadelphia, 1997. <br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_II_(finan%C4%8Dna_matematika)Numerične metode II (finančna matematika)2015-09-05T06:56:20Z<p>Kozak: </p>
<hr />
<div>[https://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice (J.Kozak, B.Plestenjak)<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/UvodvAproksimacijo.pdf Uvod v aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Interpolacija.pdf Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
<!--<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
* B. Plestenjak, Razširjen uvod v numerične metode, v tisku. <br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
* L. N. Trefethen, D. Bau, <em>Numerical Linear Algebra</em>, SIAM, Philadelphia, 1997. <br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dne_metode_II_(finan%C4%8Dna_matematika)Numerične metode II (finančna matematika)2015-09-05T06:55:58Z<p>Kozak: </p>
<hr />
<div>[https://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika/ Predmet] je vključen v [http://ucilnica.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistent''': [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* V dogovorjenem roku je treba uspešno rešiti dve domači nalogi. Pozitivna ocena domačih nalog predstavlja 20%-ni delež pisnega dela končne ocene.<br />
* Opraviti je treba pisni izpit. Ocena pisnega izpita predstavlja 80%-ni delež pisnega dela končne ocene. Opravljen pisni izpit velja en mesec.<br />
* '''Ustni izpit'''. Predpogoj za opravljanje ustnega izpita je pozitivna ocena pisnega dela. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit].<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Prosojnice (J.Kozak, B.Plestenjak)<br />
<!--<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Uvod.pdf Uvod v numerično računanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeNelinearnihEnacb.pdf Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/ResevanjeSistemovLinearnihEnacb.pdf Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/PredoloceniSistemiLinearnihEnacb.pdf Predoločeni sistemi linearnih enačb]<br />
--><br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/LastneVrednosti.pdf Lastne vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/UvodvAproksimacijo.pdf Uvod v aproksimacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/AproksimacijaPoMetodiNajmanjsihKvadratov.pdf Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Interpolacija.pdf Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Odvajanje.pdf Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/Integracija.pdf Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbe.pdf Navadne diferencialne enačbe: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeIIFM/Prosojnice/NavadneDiferencialneEnacbeZacetni.pdf Navadne diferencialne enačbe: začetni problemi]<br />
<!--<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeNelinearnihEnacb.nb Reševanje nelinearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjeSistemovLinearnihEnacb.nb Reševanje sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/ResevanjePredolocenihSistemov.nb Reševanje predoločenih sistemov linearnih enačb]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/PotencnaMetoda.nb Potenčna metoda]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/RedukcijaNaHessenbergovoObliko.nb Redukcija na Hessenbergovo obliko]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericneMetodeI/SpremljajociProgrami/QRMetoda.nb QR metoda za računanje lastnih vrednosti]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
--><br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* Z. Bohte, <em>Numerične metode</em>, DZS, Ljubljana, 1978.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* Z. Bohte, <em>Numerično reševanje nelinearnih enačb</em>, DMFA, Ljubljana, 1993.<br />
* Z. Bohte, <em>Numerično reševanje sistemov linearnih enačb</em>, DMFA, Ljubljana, 1994.<br />
* B. Plestenjak, Razširjen uvod v numeri�čne metode, v tisku. <br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* G.H. Golub, C.F. van Loan, <em>Matrix Computations</em>, The John Hopkins University Press, Baltimore, 1989.<br />
* B.N. Datta, <em>Numerical Linear Algebra and Applications</em>, Brooks/Cole, Pacific Grove, 1995.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, <em>Numerična analiza</em>, DMFA - založništvo, Ljubljana 2008. Do IV. dela (Parcialne diferencialne enačbe). [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki].<br />
* L. N. Trefethen, D. Bau, <em>Numerical Linear Algebra</em>, SIAM, Philadelphia, 1997. <br />
* E. Zakrajšek, <em>Uporabna numerična linearna algebra</em>, DMFA, Ljubljana, 2000. Slovenski prevod knjige J.W. Demmel, <em>Applied Numerical Linear Algebra</em>, SIAM, 1997.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2015-08-28T07:34:14Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2015-05-22T18:00:41Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
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* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revision.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2015-05-13T13:22:10Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v ponedeljek, v času 10-12, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2015-05-02T19:09:03Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2015-05-02T19:06:41Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_integracija_in_navadne_diferencialne_ena%C4%8DbeNumerična integracija in navadne diferencialne enačbe2015-03-01T13:42:49Z<p>Kozak: </p>
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<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-integracija-in-navadne-diferencialne-enacbe/ Predmet] je vključen v [http://ucilnica1213.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
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'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
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'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
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[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaIntegracijaInNavadneDiferencialneEnacbe/KratkaVsebina.pdf Kratka vsebina]<br />
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'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIOdvajanje.nb Odvajanje]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/OiIIntegracija.nb Integracija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEUvod.nb Reševanje navadnih diferencialnih enačb: uvod]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEZacetni.nb Reševanje navadnih diferencialnih enačb: začetni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDERobni.nb Reševanje navadnih diferencialnih enačb: robni problemi]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NDEToge.nb Reševanje navadnih diferencialnih enačb: togi problemi]<br />
<br><br />
<br />
<br />
'''Osnovna literatura'''<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* E. Hairer, S.P. Norsett, G. Wanner, <em>Solving Ordinary Differential Equations I</em>, Springer-Verlag, Berlin, 1993.<br />
* A. Iserles, <em>A First Course in the Numerical Analysis of Differential Equations</em>, Cambridge University Press, Cambridge, 2002.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2014-12-18T08:59:12Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2014-11-28T16:27:41Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2014-10-20T16:02:44Z<p>Kozak: </p>
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<div>[[en:Some publications]]<br />
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* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], to appear in Advances in Computational Mathematics. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Nekaj_objavNekaj objav2014-10-20T16:01:26Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
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* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-<br />
<br />
lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], to appear in Advances in Computational Mathematics. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at <br />
<br />
[http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original <br />
<br />
publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at <br />
<br />
[http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original <br />
<br />
publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at <br />
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[http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original <br />
<br />
publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at <br />
<br />
[http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at <br />
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[http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at <br />
<br />
[http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at <br />
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[http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original <br />
<br />
publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at <br />
<br />
[http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at <br />
<br />
[http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at <br />
<br />
[http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com <br />
<br />
www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com <br />
<br />
www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at <br />
<br />
[http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at <br />
<br />
[http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at <br />
<br />
[http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, <br />
<br />
2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific <br />
<br />
Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at <br />
<br />
[http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow <br />
<br />
[http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in <br />
<br />
Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow <br />
<br />
[http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2014-2015Numerična aproksimacija in interpolacija 2014-20152014-09-29T16:43:43Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2014-2015Numerična aproksimacija in interpolacija 2014-20152014-09-29T16:43:09Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija/KratkaVsebina.pdf Kratka vsebina]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Numeri%C4%8Dna_aproksimacija_in_interpolacija_2014-2015Numerična aproksimacija in interpolacija 2014-20152014-09-29T16:42:34Z<p>Kozak: </p>
<hr />
<div>[http://www.fmf.uni-lj.si/si/studij-matematike/financna-matematika-II/numericna-aproksimacija-in-interpolacija/ Predmet] je vključen v [http://ucilnica1415.fmf.uni-lj.si spletne učilnice] Fakultete za matematiko in fiziko. Tam najdemo najbolj sveže novice in spremljamo vaje ter predavanja. <br />
<br><br />
<br><br />
'''Asistentka''': [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
<br><br />
<br><br />
<br />
'''Obveznosti'''<br />
* Dve domači nalogi.<br />
* [[Pisni in ustni izpit]]. Na ustni izpit se prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.]<br />
<br><br />
<br />
[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAproksimacijaInInterpolacija Kratka vsebina]<br />
<br><br />
<br />
'''Osnovno gradivo'''<br />
* Demonstracijski programi (v jeziku mathematica)<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/NumericalAlgorithms.m Paket z numeričnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/GraphicTools.m Paket z grafičnimi podprogrami]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIUvod.nb Uvod v aproksimacijo in interpolacijo]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEksistencaEnolicnost.nb Eksistenca in enoličnost aproksimacije]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIEnakomerna.nb Enakomerna aproksimacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIMetodaNajmansihKvadratov.nb Aproksimacija po metodi najmanjših kvadratov]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIInterpolacija.nb Interpolacija]<br />
** [http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/SpremljajociProgrami/AiIZlepki.nb Zlepki]<br />
<br><br />
<br />
'''Osnovna literatura'''<br />
* S.D. Conte, C. de Boor, <em>Elementary Numerical Analysis</em>, McGraw Hill, New York, 1980.<br />
* E. Isaacson, H.B. Keller, <em>Analysis of Numerical Methods</em>, John Wiley, New York, 1966.<br />
* D. Kincaid, W. Cheney, <em>Numerical Analysis</em>, Brooks/Cole, Pacific Grove, 1996.<br />
* J. Kozak, [http://www.dmfa-zaloznistvo.si/mafi/ma/1728.htm Numerična analiza], DMFA - založništvo, Ljubljana 2008. <!--[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnaliza.pdf Numerična analiza]-->[http://www.fmf.uni-lj.si/~kozak/PedagoskoDelo/Gradiva/NumericnaAnaliza/NumericnaAnalizaPopravki.pdf Popravki]<br />
<br><br />
<br />
'''Dopolnilna literatura, za zahtevnejše'''<br />
* C. de Boor, <em>A Practical Guide to Splines</em>, Springer-Verlag, New York, 2001.</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2014-09-29T14:56:11Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2014-09-29T14:50:39Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' najdete na vratih kabineta. Lahko ga izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2014-09-29T14:50:20Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' najdete na vratih kabineta. Lahko ga izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Student (VIS):''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2014-09-29T14:49:35Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' najdete na vratih kabineta. Lahko ga izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent:''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko]<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikislo/index.php?title=Pedago%C5%A1ko_deloPedagoško delo2014-09-29T14:48:53Z<p>Kozak: </p>
<hr />
<div>* '''''Kabinet''''': Jadranska 21, IV. nadstropje, št. 407. Iz dvigala, v desno, do konca hodnika in korak v smeri Krima. Interna številka telefona 678.<br />
* '''''Najbolj zanesljivo do dogovora''''': [mailto:Jernej.Kozak@FMF.Uni-Lj.Si Jernej.Kozak@FMF.Uni-Lj.Si]<br />
* '''''Urnik''''' najdete na vratih kabineta. Lahko ga izluščite iz [http://www-lp.fmf.uni-lj.si/urnik/urnik.htm seznama urnikov] FMF.<br />
* '''''Govorilna ura''''' je v sredo, v času 12-13, a le po dogovoru. Na razgovor se prosim [mailto:Jernej.Kozak@FMF.Uni-Lj.Si najavite], da uskladimo termin.<br />
* '''''Prijava na ustni izpit''''': na ustni izpit se v času treh ustaljenih terminov za izpitne roke prijavite na strani [http://www.fmf.uni-lj.si/~kozak/PrijaveNaUstneIzpite/ za prijave na ustni izpit.] Izven teh terminov se lahko dogovorite po [mailto:Jernej.Kozak@FMF.Uni-Lj.Si elektronski pošti.] Pred prijavo na ustni izpit je treba opraviti vse druge obveznosti pri posameznem predmetu.<br />
* '''''Na spletnih učilnicah Fakultete za matematiko in fiziko''''' lahko spremljate [http://ucilnica1415.fmf.uni-lj.si/ sveže novice] po posameznih predmetih.<br />
* '''''e-Študent:''''' [https://vis.fmf.uni-lj.si/ Fakulteta za matematiko in fiziko<br />
<br><br />
===Po predmetih: šolsko leto 2014/2015===<br />
* [[Numerična aproksimacija in interpolacija 2014-2015 |Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
===Po predmetih: pretekla leta===<br />
* [[Numerično reševanje parcialnih diferencialnih enačb]]<br />
* [[Numerične metode II (finančna matematika)]]<br />
* [[Numerične metode 2 (IŠRM) |Numerične metode II (IŠRM)]]<br />
* [[Numerične metode (IŠRM)]]<br />
* [[Uvod v numerične metode (matematika)]]<br />
* [[Podatkovne strukture in algoritmi I]]<br />
* [[Podatkovne strukture in algoritmi II]]<br />
* [[Numerična aproksimacija in interpolacija]]<br />
* [[Numerična integracija in navadne diferencialne enačbe]]<br />
* [[Numerične metode I (praktična matematika)]]<br />
* [[Numerične metode I (IŠRM) |Numerične metode I (IŠRM, stari program)]]<br />
* [[Numerične metode II (IŠRM)|Numerične metode II (IŠRM, stari program)]]<br />
* [[Računalništvo I, Podatkovne strukture in algoritmi|Računalništvo II, Podatkovne strukture in algoritmi]]<br />
* [[Numerična analiza]]<br />
<br><br />
===Izpitni roki za zamudnike===<br />
<!--* [[Rok 30. 5. 2014|Numerična analiza]]--><br />
* [[Ni razpisanih rokov|Numerična analiza]]</div>Kozak