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International Series of Numerical Mathematics
cover

Modern Developments in Multivariate Approximation

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

Editors: Haussmann, W., Jetter, K., Reimer, M., Stöckler, J. (Eds.)

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  • ISBN 978-3-0348-8067-1
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Hardcover 124,79 €
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  • ISBN 978-3-7643-2195-6
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About this book

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.

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Multivariate Approximation Methods for the Pricing of Catastrophe—Linked Bonds

    Pages 21-39

    Albrecher, Hansjörg (et al.)

  • Note on a Generalized Invariance Principle and its Relevance for Cap Discrepancy and Energy

    Pages 41-55

    Brauchart, Johann S.

  • On Properties of Nonstationary Divided Difference Vector Subdivision Schemes

    Pages 57-69

    Charina, Maria (et al.)

  • Multivariate Balanced Vector-Valued Refinable Functions

    Pages 71-102

    Chui, Charles K. (et al.)

  • Transfinite Interpolation by Blending Functions, Best One-Sided L1-Approximation, and Cubature Formulae

    Pages 103-123

    Dryanov, Dimiter P.

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-0348-8067-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-7643-2195-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Modern Developments in Multivariate Approximation
Book Subtitle
5th International Conference, Witten-Bommerholz (Germany), September 2002
Editors
  • Werner Haussmann
  • Kurt Jetter
  • Manfred Reimer
  • Joachim Stöckler
Series Title
International Series of Numerical Mathematics
Series Volume
145
Copyright
2003
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag P.O. Box 133, CH-4010 Basel, Switzerland
eBook ISBN
978-3-0348-8067-1
DOI
10.1007/978-3-0348-8067-1
Hardcover ISBN
978-3-7643-2195-6
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XX, 299
Topics