Numerical Analysis of Wavelet Methods

Language: English

Published by Elsevier BV Apr 2003, 2003

0444511245 / 9780444511249

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Seller Inventory # 9780444511249

Title
Numerical Analysis of Wavelet Methods
Author
Albert Cohen
Publisher
Elsevier BV Apr 2003
Publication year
2003
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0444511245
ISBN 13
9780444511249
Item weight
676 grams
Dimensions
234x156x22 mm

AHA-BUCH GmbH

Einbeck, Germany

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