International Series of Numerical Mathematics

Multivariate Approximation and Splines

Editors: Nürnberger, Günther, Schmidt, Jochen W., Walz, Guido (Eds.)

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About this book

This book contains the refereed papers which were presented at the interna­ tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit­ ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul­ the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul­ tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non­ linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.

Table of contents (24 chapters)

Table of contents (24 chapters)
  • Multivariate Inequalities of Kolmogorov Type and Their Applications

    Babenko, V. F. (et al.)

    Pages 1-12

  • Monotone Iterative Technique for Impulsive Differential-Difference Equations with Variable Impulsive Perturbations

    Bainov, Drumi (et al.)

    Pages 13-27

  • Multivariate Cosine Wavelets

    Bittner, Kai (et al.)

    Pages 29-43

  • On Almost Interpolation by Multivariate Splines

    Davydov, Oleg (et al.)

    Pages 45-58

  • Locally Linearly Independent Systems and Almost Interpolation

    Davydov, Oleg (et al.)

    Pages 59-72

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-0348-8871-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-0348-9808-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multivariate Approximation and Splines
Editors
  • Günther Nürnberger
  • Jochen W. Schmidt
  • Guido Walz
Series Title
International Series of Numerical Mathematics
Series Volume
125
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8871-4
DOI
10.1007/978-3-0348-8871-4
Softcover ISBN
978-3-0348-9808-9
Series ISSN
0373-3149
Edition Number
1
Number of Pages
X, 326
Topics