Wavelet Methods for Elliptic Partial Differential Equations

Hardcover | November 27, 2008

byKarsten Urban

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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.

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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 introduct...

Karsten Urban is Director of the Institute of Numerical Mathematics at the University of Ulm.

other books by Karsten Urban

Wavelets in Numerical Simulation: Problem Adapted Construction and Applications
Wavelets in Numerical Simulation: Problem Adapted Const...

Paperback|Jun 10 2002

$215.95 online$232.95list price(save 7%)
Format:HardcoverDimensions:482 pagesPublished:November 27, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198526059

ISBN - 13:9780198526056

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Table of Contents

1. Introduction2. Mulitscale Approximation and Multiresolution3. Elliptic Boundary Value Problems4. Multiresolution Galerkin Methods5. Wavelets6. Wavelet-Galerkin Methods7. Adaptive Wavelet Methods8. Wavelets on General Domains9. Some ApplicationsAppendicesReferencesIndex