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9780198526056

Wavelet Methods for Elliptic Partial Differential Equations

by
  • ISBN13:

    9780198526056

  • ISBN10:

    0198526059

  • Format: Hardcover
  • Copyright: 2009-01-27
  • Publisher: Oxford University Press

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Summary

Wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have been used successfully in other areas, however. Elliptic Partial Differential Equations which model several processes in, for example, science and engineering, is one such field. This book, based on the author's course, gives an introduction to wavelet methods in general and then describes their application for the numerical solution of elliptic partial differential equations. Recently developed adaptive methods are also covered and each scheme is complemented with numericalresults , exercises, and corresponding software.

Table of Contents

Introduction
Mulitscale Approximation and Multiresolution
Elliptic Boundary Value Problems
Multiresolution Galerkin Methods
Wavelets
Wavelet-Galerkin Methods
Adaptive Wavelet Methods
Wavelets on General Domains
Some Applications
Appendices
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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