Format:
1 Online-Ressource (xviii, 336 p.)
,
ill
,
24 cm
Edition:
1st ed
Edition:
Online_Ausgabe Amsterdam Elsevier Science & Technology 2007 Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
Edition:
Electronic reproduction; Mode of access: World Wide Web
ISBN:
0444511245
,
9780444511249
Series Statement:
Studies in mathematics and its applications v. 32
Note:
Includes bibliographical references (p. 321-333) and index
,
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:〈P〉 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.〈P〉 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.〈P〉 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
Additional Edition:
Reproduktion von Numerical analysis of wavelet methods 2003
Language:
English
Subjects:
Mathematics
Keywords:
Wavelet
;
Numerisches Verfahren
URL:
Volltext
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