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Article

Zeilfelder, Frank, Davydov, Oleg V. and Nürnberger, Günther (2001) Bivariate spline interpolation with optimal approximation order. Constructive Approximation Berlin [u.a.] 17 2 181-208 [Article]

Nürnberger, Günther and Zeilfelder, Frank (2000) Developments in bivariate spline interpolation. Journal of Computational and Applied Mathematics Amsterdam 121 1/2 125-152 [Article]

Nürnberger, Günther and Davydov, Oleg V. (2000) Interpolation by C1 Splines of Degree q 4 on Triangulations. Journal of Computational and Applied Mathematics Amsterdam [u.a.] 126 1/2 159-183 [Article]

Nürnberger, Günther and Zeilfelder, Frank (2000) Interpolation by spline spaces on classes of triangulations. Journal of Computational and Applied Mathematics Amsterdam [u.a.] 119 1/2 347-376 [Article]

Zeilfelder, Frank (1999) Strong unicity of best uniform approximations from periodic spline spaces. Journal of Approximation Theory Amsterdam [u.a.] 99 1 1-29 [Article]

Nürnberger, Günther, Davydov, Oleg V. and Zeilfelder, Frank (1998) Approximation order of bivariate spline interpolation for arbitrary smoothness. Journal of Computational and Applied Mathematics Amsterdam [u.a.] 90 2 117-134 [Article]

Nürnberger, Günther and Walz, Guido (1998) Error analysis in interpolation by bivariate C1 splines. IMA Journal of Numerical Analysis : IMAJNA Oxford 18 4 485-508 [Article]

Zeilfelder, Frank (1998) Hermite interpolation by periodic splines with equidistant knots. Communications in Applied Analysis Atlanta, Ga. 2 2 183-195 [Article]

Nürnberger, Günther (1996) Approximation order of bivariate spline interpolation. Journal of Approximation Theory Amsterdam [u.a.] 87 2 117-136 [Article]

Nürnberger, Günther (1996) Bivariate segment approximation and free knot splines: research problems 96-4. Constructive Approximation New York, NY [u.a.] 12 4 555-558 [Article]

Nürnberger, Günther, Meinardus, Günter and Walz, Guido (1996) Bivariate segment approximation and splines. Advances in Computational Mathematics : AICM Dordrecht 6 1 25-45 [Article]

Nürnberger, Günther and Rießinger, Thomas (1995) Bivariate spline interpolation at grid points. Numerische Mathematik Berlin [u.a.] 71 1 91-119 [Article]

Nürnberger, Günther and Rießinger, Thomas (1992) Lagrange and Hermite interpolation by bivariate splines. Numerical functional analysis and optimization Philadelphia, Pa. 13 1/2 75-96 [Article]

Nürnberger, Günther (1994) Strong unicity in nonlinear approximation and free knot splines. Constructive Approximation Berlin [u.a.] 10 2 285-299 [Article]

Nürnberger, Günther (1992) The metric projection for free knot splines. Journal of Approximation Theory Amsterdam [u.a.] 71 2 145-153 [Article]

Nürnberger, Günther, Meinardus, Günter, Sommer, Manfred and Strauß, Hans (1989) Algorithms for piecewise polynomials and splines with free knots. Mathematics of Computation Providence, RI 53 187 235-247 [Article]

Nürnberger, Günther, Sommer, Manfred and Strauß, Hans (1986) An algorithm for segment approximation. Numerische Mathematik Berlin [u.a.] 48 4 463-477 [Article]

Nürnberger, Günther (1986) Chebyshev approximation by splines with free knots and computation. Approximation Theory New York, NY 5 511-514 [Article]

Nürnberger, Günther and Meinardus, Günter (1991) Lothar Collatz. Journal of Approximation Theory Amsterdam 65 1 1-2 [Article]

Nürnberger, Günther and Berens, Hubert (1990) Nonuniqueness and selections in spline approximation. Constructive Approximation New York, NY [u.a.] 6 2 181-193 [Article]

Nürnberger, Günther (1987) Strongly unique spline approximations with free knots. Constructive Approximation Heidelberg [u.a.] 3 1 31-42 [Article]

Nürnberger, Günther, Meinardus, Günter, Rießinger, Thomas and Walz, Guido (1991) The work of Lothar Collatz in approximation theory. Journal of Approximation Theory Amsterdam 67 2 119-128 [Article]

Nürnberger, Günther, Schumaker, Larry L., Sommer, Manfred and Strauß, Hans (1989) Uniform aproximation by generalized splines with free knots. Journal of Approximation Theory Amsterdam 59 150-169 [Article]

Nürnberger, Günther and Meinardus, Günter (1989) Uniqueness of best L1-approximations from periodic spline spaces. Journal of Approximation Theory Amsterdam 58 1 114-120 [Article]

Nürnberger, Günther, Blatt, Hans-Peter and Sommer, Manfred (1981) A characterization of pointwise-Lipschitz-continuous selections for the metric projection. Numerical functional analysis and optimization Philadelphia, Pa. 4 2 101-122 [Article]

Nürnberger, Günther (1982) A local version of Haar's theorem in approximation theory. Numerical functional analysis and optimization Philadelphia, Pa. 5 1 21-46 [Article]

Nürnberger, Günther and Sommer, Manfred (1983) A Remez type algorithm for spline functions. Numerische Mathematik Berlin [u.a.] 41 1 117-146 [Article]

Nürnberger, Günther and Sommer, Manfred (1983) Alternation for best spline approximations. Numerische Mathematik Berlin [u.a.] 41 2 207-221 [Article]

Nürnberger, Günther (1985) Approximation by generalized splines. Journal of Mathematical Analysis and Applications Amsterdam 108 2 466-494 [Article]

Nürnberger, Günther and Sommer, Manfred (1978) Characterization of continuous selections of the metric projection for spline functions. Journal of Approximation Theory Amsterdam 22 4 320-330 [Article]

Nürnberger, Günther (1980) Continuous selections for the metric projection and alternation. Journal of Approximation Theory Amsterdam [u.a.] 28 3 212-226 [Article]

Nürnberger, Günther, Schumaker, Larry L., Sommer, Manfred and Stauß, Hans (1984) Generalized Tchebycheffian splines. SIAM Journal on Mathematical Analysis Philadelphia, Pa. 15 790-804 [Article]

Nürnberger, Günther (1985) Global unicity in optimization and approximation. Zeitschrift für angewandte Mathematik und Mechanik : ZAMM Potsdam 65 5 T319-T321 [Article]

Nürnberger, Günther (1985) Global unicity in semi-infinite optimization. Numerical functional analysis and optimization Philadelphia, Pa. 8 1/2 173-191 [Article]

Nürnberger, Günther (1983) Interpolation by generalized splines. Numerische Mathematik Berlin [u.a.] 42 2 195-212 [Article]

Nürnberger, Günther (1980) Nonexistence of continuous selections of the metric projection and weak Chebyshev systems. SIAM Journal on Mathematical Analysis Philadelphia, Pa. 11 11 460-467 [Article]

Nürnberger, Günther and Braess, Dietrich (1981) Nonuniqueness of best Lp-approximation for generalized convex functions by splines with free knots. Numerical functional analysis and optimization Philadelphia, Pa. 4 2 199-209 [Article]

Brosowski, Bruno, Deutsch, Frank and Nürnberger, Günther (1980) Parametric approximation. Journal of Approximation Theory Amsterdam [u.a.] 29 4 261-277 [Article]

Nürnberger, Günther (1977) Schnitte für die metrische Projektion. Journal of Approximation Theory Amsterdam [u.a.] 20 196-219 [Article]

Nürnberger, Günther (1982) Strong unicity constants for spline functions. Numerical functional analysis and optimization Philadelphia, Pa. 5 3 319-347 [Article]

Nürnberger, Günther (1983) Strong unicity of best approximations: a numerical aspect. Numerical functional analysis and optimization Philadelphia, Pa. 6 4 399-421 [Article]

Nürnberger, Günther (1979) Unicity and strong unicity in approximation theory. Journal of Approximation Theory Amsterdam [u.a.] 26 1 54-70 [Article]

Nürnberger, Günther (1985) Unicity in one-sided L1-approximation and quadrature formulae. Journal of Approximation Theory Amsterdam [u.a.] 45 3 271-279 [Article]

Nürnberger, Günther and Singer, Ivan (1982) Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Journal of Mathematical Analysis and Applications Amsterdam [u.a.] 90 1 171-184 [Article]

Nürnberger, Günther and Singer, Ivan (1980) Weak Chebyshev subspaces and alternation. Pacific Journal of Mathematics Berkeley, Calif. 89 1 9-31 [Article]

Nürnberger, Günther and Sommer, Manfred (1978) Weak Chebyshev subspaces and continuous selections for the metric projection. Transactions of the American Mathematical Society Providence, RI 238 129-138 [Article]

Nürnberger, Günther and Deutsch, Frank (1982) Weakly interpolating subspaces. Numerical functional analysis and optimization Philadelphia, Pa. 5 3 267-288 [Article]

Nürnberger, Günther, Hecklin, Gero and Zeilfelder, Frank (2006) Structural analysis of C1 spline spaces on Freudenthal partitions. SIAM Journal on Mathematical Analysis Philadelphia, Pa. 38 2 347-367 [Article]

Nürnberger, Günther, Rayevskaya, Vera, Schumaker, Larry L. and Zeilfelder, Frank (2006) Local Lagrange interpolation with bivariate splines of arbitrary smoothness. Constructive Approximation Berlin [u.a.] 23 33-59 [Article]

Nürnberger, Günther, Schumaker, Larry L., Hecklin, Gero and Zeilfelder, Frank (2008) A local Lagrange interpolation method based on C¹ cubic splines on Freudenthal partitions. Mathematics of Computation Providence, RI 77 262 1017-1036 [Article]

Nürnberger, Günther, Chui, Charles K., Hecklin, Gero and Zeilfelder, Frank (2008) Optimal Lagrange interpolation by quartic C¹ splines on triangulations. Journal of Computational and Applied Mathematics Amsterdam [u.a.] 216 2 344-363 [Article]

Nürnberger, Günther, Schumaker, Larry L., Hecklin, Gero and Zeilfelder, Frank (2009) Local Lagrange interpolation with cubic C¹ splines on tetrahedral partitions. Journal of Approximation Theory Amsterdam [u.a.] 16 1/2 89-102 [Article]

Matt, Michael A. and Nürnberger, Günther (2010) Local Lagrange interpolation using cubic C1 splines on type-4 cube partitions. Journal of Approximation Theory Amsterdam [u.a.] 162 3 494-511 [Article]

Nürnberger, Günther, Rhein, Markus and Schneider, Georg (2011) Local Lagrange interpolation by quintic C1 splines on type-6 tetrahedral partitions. Journal of Computational and Applied Mathematics Amsterdam [u.a.] 236 4 529-542 [Article]

Nürnberger, Günther (2010) In memoriam: Günter Meinardus (1926-2007). Journal of Approximation Theory Amsterdam [u.a.] 162 1 1-5 [Article]

Book

Nürnberger, Günther, Schmidt, Jochen W. and Walz, Guido (1997) Multivariate Approximation and Splines. Basel [Book]

Nürnberger, Günther (1989) Approximation by Spline Functions. Berlin ; Heidelberg [Book]

Nürnberger, Günther, Collatz, Lothar and Meinardus, Günter (1987) Workshop on Numerical Methods of Approximation Theory : Oberwolfach, September 28 - October 4, 1986. Basel [u.a.] [Book]

Nürnberger, Günther and Meinardus, Günter (1985) Delay Equations, Approximation and Application. Basel [u.a.] [Book]

Book chapter

Zeilfelder, Frank (2002) Scattered Data Fitting with Bivariate Splines. Advances in multiresolution for geometric modelling : [all papers were originally presented at the MINGLE 2003 workshop held in Cambridge, UK, 9 - 11 September 2003] Heidelberg 243-286 [Book chapter]

Zeilfelder, Frank and Seidel, Hans-Peter (2002) Splines over triangulations. Farin, Gerald E. The Handbook of Computer Aided Design Amsterdam 701-722 [Book chapter]

Nürnberger, Günther, Davydov, Oleg V. and Zeilfelder, Frank (1999) Interpolation by splines on triangulations. Müller, Manfred W. New Developments in Approximation Theory : 2nd International Dortmund Meeting (IDoMAT) '98, Germany, February 23-27, 1998 Basel ; Berlin 49-70 [Book chapter]

Nürnberger, Günther, Davydov, Oleg V. and Zeilfelder, Frank (1998) Interpolation by cubic splines on triangulations. Approximation Theory : IX International Conference on Approximation Theory ; proceedings Nashville 17-24 [Book chapter]

Nürnberger, Günther and Zeilfelder, Frank (1998) Lagrange interpolation by splines on triangulations. Proceedings of the Morningside Institute, Peking Peking [Book chapter]

Nürnberger, Günther and Zeilfelder, Frank (1998) On bivariate spline spaces. Advances in Multivariate Approximation : proceedings of the 3rd International Conference on Multivariate Approximation Theory, held at Witten-Bommerholz, Germany, September 27 - October 2, 1998 Berlin [u.a.] 227-230 [Book chapter]

Nürnberger, Günther and Zeilfelder, Frank (1998) Spline interpolation on convex quadrangulations. Approximation Theory IX Nashville, Tenn. 259-266 [Book chapter]

Nürnberger, Günther, Davydov, Oleg V., Walz, Guido and Zeilfelder, Frank (1997) Interpolation by Bivariate Splines on Crosscut Partitions. Multivariate Approximation and Splines : International Conference on Multivariate Approximation and Splines held in Mannheim, Germany, on September 7 - 10, 1996 Basel 189-203 [Book chapter]

Nürnberger, Günther (1997) Optimal partitions in bivariate segment approximation. Curves and Surfaces Nashville 271-278 [Book chapter]

Nürnberger, Günther (1995) Bivariate spline interpolation and approximation order. Approximation and interpolation : College Station, Texas, USA, 8 - 12, January 1995 Singapore [u.a.] 443-450 [Book chapter]

Nürnberger, Günther (1993) Approximation by univariate and bivariate splines. Second International Colloquium on Numerical Analysis Utrecht 143-153 [Book chapter]

Nürnberger, Günther (1987) Strong unicity constants in Chebyshev approximation. Workshop on Numerical Methods of Approximation Theory, Oberwolfach, September 28 - October 4, 1986 Basel 144-154 [Book chapter]

Nürnberger, Günther (1987) Strong unicity in nonlinear parametric optimization. Parametric Optimization and Related Topics Berlin 316-326 [Book chapter]

Nürnberger, Günther and Meinardus, Günter (1985) Approximation theory and numerical methods for delay differential equations. Delay Equations, Approximation and Application : Internat. Symposium at the Univ. of Mannheim, October 8 - 11, 1984 Basel; Stuttgart 180-212 [Book chapter]

Nürnberger, Günther (1985) Best approximation by spline functions: theory and numerical methods. Delay Equations, Approximation and Application Basel [u.a.] 180-212 [Book chapter]

Nürnberger, Günther and Sommer, Manfred (1985) Continuous selections in Chebyshev approximation. Parametric Optimization and Approximation Basel [u.a.] 248-263 [Book chapter]

Nürnberger, Günther, Blatt, Hans-Peter and Sommer, Manfred (1980) Pointwise-Lipschitz-continuous selections for the metric projection. Cheney, Elliott w. Approximation theory III : proceedings of a conference honoring Professor George G. Lorentz New York, NY 223-228 [Book chapter]

Nürnberger, Günther (1980) Strong uniqueness of best approximations and weak Chebyshev systems. Quantitative Approximation New York, NY 255-266 [Book chapter]

Nürnberger, Günther (1985) Unicity in semi-infinite optimization. Parametric Optimization and Approximation Basel [u.a.] 231-247 [Book chapter]

Nürnberger, Günther and Singer, Ivan (1980) Uniqueness of best approximations in spaces of continuous functions. Approximation Theory : III. International Conference on Approximation Theory ; proceedings New York 687-692 [Book chapter]

Nürnberger, Günther and Schneider, Georg (2012) A Lagrange interpolation method by trivariate cubic C^1 splines of low locality. Neamtu, Marian Approximation Theory XIII : San Antonio 2010 Springer Proceedings in Mathematics New York, NY [u.a.] 13 231-248 [Book chapter]

Doctoral dissertation

Zeilfelder, Frank (1996) Interpolation und beste Approximation mit periodischen Splinefunktionen. Mannheim [Doctoral dissertation]

Conference or workshop publication

Nürnberger, Günther, Kohlmüller, Norbert and Zeilfelder, Frank Construction of cubic 3D spline surfaces by Lagrange interpolation at selected points. Lyche, Thomas Curve and Surface Design, Saint Malo, Frankreich, 27.06.-03.07.2002 245-254 In: Curve and surface design : Saint-Malo 2002; [the Fifth International Conference on Curves and Surfaces was held June 27 - July 3, 2002 ... in Saint-Malo, France] (2003) Brentwood, Tenn. [Conference or workshop publication]

Nürnberger, Günther, Kohlmüller, Norbert and Zeilfelder, Frank Optimal approximation order of interpolation by cubic spline surfaces. Lyche, Thomas Curve and Surface Design, St. Malo, Frankreich, 27.06.-03.07.2002 235-245 In: Curve and surface design : Saint-Malo 2002; [the Fifth International Conference on Curves and Surfaces was held June 27 - July 3, 2002 ... in Saint-Malo, France] (2003) Brentwood, Tenn. [Conference or workshop publication]

Nürnberger, Günther, Schumaker, Larry L. and Zeilfelder, Frank Lagrange Interpolation by C1 Cubic Splines on Triangulations of Separable Quadrangulations. Approximation theory X : wavelets, splines, and applications 405-424 In: Approximation theory X : wavelets, splines, and applications (2002) Nashville [Conference or workshop publication]

Nürnberger, Günther, Schumaker, Larry L. and Zeilfelder, Frank Local Lagrange Interpolation by Bivariate C1 Cubic Splines. Lyche, Tom Mathematical Methods for Curves and Surfaces 2000 393-404 In: Oslo 2000 : [International Conference on Mathematical Methods for Curves and Surfaces, June 29 - July 2, 2000] (2001) Nashville [Conference or workshop publication]

Nürnberger, Günther, Schumaker, Larry L. and Zeilfelder, Frank Local Lagrange Interpolation by Cubic Splines on a Class of Triangulations. Kopotun, Kirill Trends in Approximation Theory 341-350 In: Trends in approximation theory (2001) Nashville, Tenn. [Conference or workshop publication]

Nürnberger, Günther and Zeilfelder, Frank Local Lagrange Interpolation on Powell-Sabin Triangulations and Terrain Modelling. Haußmann, Werner International Series of Numerical Mathematics 137 227-244 In: Recent progress in multivariate approximation$d4th international conference, Witten-Bommerholz (Germany), September 2000 (2001) Basel [u.a.] [Conference or workshop publication]

Zeilfelder, Frank, Davydov, Oleg V., Haber, Jörg and Seidel, Hans-Peter Smooth approximation and rendering of large scattered data sets. Ertl, Thomas Proceedings of IEEE Visualisation 2001 341-348 In: Proceedings Visualization 2001 : October 21 - 26, 2001, San Diego, California (2001) Piscataway, NJ [Conference or workshop publication]

Nürnberger, Günther, Davydov, Oleg V. and Zeilfelder, Frank Cubic spline interpolation on nested polygon triangulations. Cohen, Albert Curves and Surface fitting : St. Malo 1999 161-170 In: Curves and Surface fitting : St. Malo 1999 (2000) Nashville, Tenn. [Conference or workshop publication]

Nürnberger, Günther On the structure of nonlinear approximating families and splines with free knots. Chui, Charles K. 2 507-510 In: Approximation Theory VI : Proceedings of the Sixth International Symposium held at Texas A \& M University, College Station, Texas, January 6-10, 1989 (1989) New York, NY [Conference or workshop publication]

Nürnberger, Günther Strong unicity constants for finite-dimensional subspaces. Chui, Charles K. Approximation Theory 643-648 In: Approximation theory IV : [proceedings of the International Symposium on Approximation Theory, held at Texas A&M University, College Station, Texas, on January 10 - 14, 1983] (1983) New York, NY [Conference or workshop publication]

Nürnberger, Günther, Hecklin, Gero and Zeilfelder, Frank Local Lagrange interpolation by classical bivariate C1 spline spaces. Chen, Guanrong Wavelets and Splines : Athens 2005 226-243 In: Wavelets and splines: Athens 2005 : [contributions based on lectures presented at the International Conference on "Interactions between Wavelets and Splines", held during May 16 - 19, 2005, Athens, Georgia] (2006) Brentwood, Tenn. [Conference or workshop publication]

Nürnberger, Günther, Rössl, Christian and Zeilfelder, Frank High-quality rendering of Iso-Surfaces extracted from quadratic super splines. Chenin, Patrick Curve and Surface Design : Avignon 2006 203-212 In: Curve and surface design : Avignon 2006; [the Sixth International Conference on Curves and Surfaces was held June 29 - July 5, 2006 ... in Avignon, France] (2007) Brentwood, Tenn. [Conference or workshop publication]

Hecklin, Gero, Nürnberger, Günther and Zeilfelder, Frank Local data interpolation by quintic C1 splines on tetrahedral partitions. Chenin, Patrick Curve and surface design : Avignon 2006; [the Sixth International Conference on Curves and Surfaces was held June 29 - July 5, 2006 in Avignon, France] 163-172 In: Curve and surface design : Avignon 2006; [the Sixth International Conference on Curves and Surfaces was held June 29 - July 5, 2006 ... in Avignon, France] (2007) Brentwood, Tenn. [Conference or workshop publication]

Encyclopedic article

Nürnberger, Günther and Zeilfelder, Frank (2002) Splinefunktionen und Anwendungen. Walz, Guido Lexikon der Mathematik Heidelberg 5 71-75 [Encyclopedic article]

This list was created automatically on Mon Mar 4 00:24:04 2024 CET