Modern Developments in Multivariate Approximation

5th International Conference, Witten-Bommerholz (Germany), September 2002

  • Werner Haussmann
  • Kurt Jetter
  • Manfred Reimer
  • Joachim Stöckler
Conference proceedings

Part of the International Series of Numerical Mathematics book series (ISNM, volume 145)

Table of contents

  1. Front Matter
    Pages 1-20
  2. Hansjörg Albrecher, Jürgen Hartinger, Robert F. Tichy
    Pages 21-39
  3. Charles K. Chui, Qingtang Jiang
    Pages 71-102
  4. Nira Dyn, David LevinAriel Luzzatto
    Pages 125-142
  5. Karol Dziedziul, Kurt Jetter
    Pages 143-152
  6. Lavi Karp, Harold S. Shapiro
    Pages 167-174
  7. Angela Kunoth
    Pages 175-201
  8. Alain Le Méhauté
    Pages 203-214
  9. GÜnther NÜrnberger, Frank Zeilfelder
    Pages 215-233
  10. Gerlind Plonka, Manfred Tasche
    Pages 235-252
  11. Georg Zimmermann
    Pages 309-319

About these proceedings


This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held in Witten-Bommerholz in September 2002. The contributions cover recent developments of constructive approximation on manifolds, approximation by splines and kernels, subdivision techniques and wavelet methods.
The main topics are:
- applications of multivariate approximation in finance
- approximation and stable reconstruction of images, data reduction
- multivariate splines for Lagrange interpolation and quasi-interpolation
- radial basis functions
- spherical point sets
- refinable function vectors and non-stationary subdivision
- applications of adaptive wavelet methods
- blending functions and cubature formulae
- singularities of harmonic functions
The book provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics, with many links to computer science and geophysics.


Applied Mathematics Division Manifold function mathematics

Editors and affiliations

  • Werner Haussmann
    • 1
  • Kurt Jetter
    • 2
  • Manfred Reimer
    • 3
  • Joachim Stöckler
    • 3
  1. 1.Mathematisches InstitutGerhard-Mercator-Universität DuisburgDuisburgGermany
  2. 2.Institut für Angewandte Mathematik und StatistikUniversität HohenheimStuttgartGermany
  3. 3.Fachbereich MathematikUniversität DortmundDortmundGermany

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Verlag P.O. Box 133, CH-4010 Basel, Switzerland 2003
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9427-2
  • Online ISBN 978-3-0348-8067-1
  • Series Print ISSN 0373-3149
  • Series Online ISSN 2296-6072
  • Buy this book on publisher's site