Multivariate approximation and splines

Multivariate approximation and splines

by Nurnberger, G. (Gunther) Schmidt, Jochen W. Walz, Guido

Type Book
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This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines…

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Title Statements

  • Full title :Multivariate approximation and splines / edited by Günther Nürnberger, Jochen W. Schmidt, Guido Walz.

Summary

This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines, radial basis functions, neural networks, computer-aided design, wavelets, subdivision, optimization, differential equations and numerical integration. The research has applications in areas such as industrial production, visualization, image and signal processing, cognitive systems and modeling in medicine and natural sciences.

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Edition Statements

  • Publication Date:©1997.

Publication Statements

  • Publisher(s):Birkhäuser
  • Place of Publication:Basel
  • Language:eng
  • Publication Date:©1997.

Notes

Papers presented at the international conference on Multivariate Approximation and Splines held in Mannheim, Germany, Sept. 7-10, 1996.

The Physical Object

  • Description:1 online resource (x, 324 pages) : : illustrations

Edition Identifiers

  • ISBN:9783034888714, 3034888716, 9783034898089, 3034898088
  • DOI:10.1007/978-3-0348-8871-4
  • oclc:ocn806178991
  • LC Classification:QA224
  • Dewey Decimal:515/.84

Table of Contents

Multivariate Inequalities of Kolmogorov Type and Their Applications -- Monotone Iterative Technique for Impulsive Differential-Difference Equations with Variable Impulsive Perturbations -- Multivariate Cosine Wavelets -- On Almost Interpolation by Multivariate Splines -- Locally Linearly Independent Systems and Almost Interpolation -- Exponential-Type Approximation in Multivariate Harmonic Hilbert Spaces -- Interpolation by Continuous Function Spaces -- Discrete Characterization of Besov Spaces and its Applications to Stochastics -- One-Sided Approximation and Interpolation Operators Generating Hyperbolic Sigma-Pi Neural Networks -- Unconstrained Minimization of Quadratic Splines and Applications -- Interpolation by Translates of a Basis function -- On the Sup-Norm Condition Number of the Multivariate Triangular Bernstein Basis -- Integration Methods of Clenshaw-Curtis Type, Based on Four Kinds of Chebyshev Polynomials -- Tensor Products of Convex Cones -- The Curse of Dimension and a Universal Method for Numerical Integration -- Interpolation by Bivariate Splines on Crosscut Partitions -- Necessary and Sufficient Conditions for Orthonormality of Scaling Vectors -- Trigonometric P…

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