
Wavelet Methods for Elliptic Partial Differential Equations
Karsten Urban(Author)
Oxford University Press
Published on 27. November 2008
Book
Hardback
510 pages
978-0-19-852605-6 (ISBN)
Description
The origins of wavelets go back to the beginning of the last century and wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have, however, been used successfully in other areas, such as elliptic partial differential equations, which can be used to model many processes in science and engineering. This book, based on the author's course and accessible to those with basic knowledge of analysis and numerical mathematics, 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 numerical results, exercises, and corresponding software tools.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Professional and scholarly
Graduates in mathematics, computer science, and engineering.
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 32 mm
Weight
925 gr
ISBN-13
978-0-19-852605-6 (9780198526056)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Karsten Urban, Director of the Institute of Numerical Mathematics, University of Ulm
Content
1. Introduction ; 2. Mulitscale Approximation and Multiresolution ; 3. Elliptic Boundary Value Problems ; 4. Multiresolution Galerkin Methods ; 5. Wavelets ; 6. Wavelet-Galerkin Methods ; 7. Adaptive Wavelet Methods ; 8. Wavelets on General Domains ; 9. Some Applications ; APPENDICES ; REFERENCES ; INDEX