Zeitschriftenartikel

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

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

Nürnberger, Günther ; 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 [Zeitschriftenartikel]

Nürnberger, Günther ; 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 [Zeitschriftenartikel]

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

Nürnberger, Günther ; Davydov, Oleg V. ; 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 [Zeitschriftenartikel]

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

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

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

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 [Zeitschriftenartikel]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Nürnberger, Günther ; Blatt, Hans-Peter ; 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 [Zeitschriftenartikel]

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

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

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

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

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

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

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

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

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

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

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 [Zeitschriftenartikel]

Nürnberger, Günther ; 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 [Zeitschriftenartikel]

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

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

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

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

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

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

Nürnberger, Günther ; 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 [Zeitschriftenartikel]

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

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

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

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

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

Nürnberger, Günther ; Schumaker, Larry L. ; Hecklin, Gero ; 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 [Zeitschriftenartikel]

Nürnberger, Günther ; Chui, Charles K. ; Hecklin, Gero ; 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 [Zeitschriftenartikel]

Nürnberger, Günther ; Schumaker, Larry L. ; Hecklin, Gero ; 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 [Zeitschriftenartikel]

Matt, Michael A. ; 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 [Zeitschriftenartikel]

Nürnberger, Günther ; Rhein, Markus ; 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 [Zeitschriftenartikel]

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

Buch

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

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

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

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

Buchkapitel

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 [Buchkapitel]

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

Nürnberger, Günther ; Davydov, Oleg V. ; 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 [Buchkapitel]

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

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

Nürnberger, Günther ; 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 [Buchkapitel]

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

Nürnberger, Günther ; Davydov, Oleg V. ; Walz, Guido ; 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 [Buchkapitel]

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

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 [Buchkapitel]

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

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 [Buchkapitel]

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

Nürnberger, Günther ; 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 [Buchkapitel]

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

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

Nürnberger, Günther ; Blatt, Hans-Peter ; 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 [Buchkapitel]

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

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

Nürnberger, Günther ; 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 [Buchkapitel]

Nürnberger, Günther ; 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 [Buchkapitel]

Dissertation

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

Konferenzveröffentlichung

Nürnberger, Günther ; Kohlmüller, Norbert ; 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. [Konferenzveröffentlichung]

Nürnberger, Günther ; Kohlmüller, Norbert ; 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. [Konferenzveröffentlichung]

Nürnberger, Günther ; Schumaker, Larry L. ; 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 [Konferenzveröffentlichung]

Nürnberger, Günther ; Schumaker, Larry L. ; 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 [Konferenzveröffentlichung]

Nürnberger, Günther ; Schumaker, Larry L. ; 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. [Konferenzveröffentlichung]

Nürnberger, Günther ; 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.] [Konferenzveröffentlichung]

Zeilfelder, Frank ; Davydov, Oleg V. ; Haber, Jörg ; 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 [Konferenzveröffentlichung]

Nürnberger, Günther ; Davydov, Oleg V. ; 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. [Konferenzveröffentlichung]

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 [Konferenzveröffentlichung]

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 [Konferenzveröffentlichung]

Nürnberger, Günther ; Hecklin, Gero ; 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. [Konferenzveröffentlichung]

Nürnberger, Günther ; Rössl, Christian ; 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. [Konferenzveröffentlichung]

Hecklin, Gero ; Nürnberger, Günther ; 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. [Konferenzveröffentlichung]

Lexikonartikel

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