Modern Developments in Multivariate Approximation : 5th International Conference, Witten-Bommerholz (Germany), September 2002 - Werner Haussmann

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Modern Developments in Multivariate Approximation

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

By: Werner Haussmann (Editor), Kurt Jetter (Editor), Manfred Reimer (Editor)

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Hardcover | 24 October 2003

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324 Pages

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22.86 x 16.51 x 1.91

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Mathematical Foundation Calculus of Variations Optimisation

Participants	p. 9
Scientific Program of the Conference	p. 17
Multivariate Approximation Methods for the Pricing of Catastrophe Linked Bonds	p. 21
Note on a Generalized Invariance Principle and its Relevance for Cap Discrepancy and Energy	p. 41
On Properties of Nonstationary Divided Difference Vector Subdivision Schemes	p. 57
Multivariate Balanced Vector-Valued Refinable Functions	p. 71
Transfinite Interpolation by Blending Functions, Best One-Sided L[superscript 1]-Approximation, and Cubature Formulae	p. 103
Refining Oscillatory Signals by Non-Stationary Subdivision Schemes	p. 125
Asymptotic Error Expansions for Schoenberg Type Operators	p. 143
On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines	p. 153
Isolated Singularities of Harmonic Functions	p. 167
Two Applications of Adaptive Wavelet Methods	p. 175
Almost Interpolation and Radial Basis Functions	p. 203
Fundamental Splines on Triangulations	p. 215
Integer DCT-II by Lifting Steps	p. 235
Approximation of Density Functions and Reconstruction of the Approximant	p. 253
On Some Multivariate Quadratic Spline Quasi-Interpolants on Bounded Domains	p. 263
How to Generate Smoother Refinable Functions from Given Ones	p. 279
Reconstructing Multivariate Functions from Large Data Sets	p. 295
Three Scale Versus Matrix Refinement Equations	p. 309
Table of Contents provided by Blackwell. All Rights Reserved.

Modern Developments in Multivariate Approximation

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

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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