Wavelet Methods for Elliptic Partial Differential Equations

Urban, Karsten

ISBN 10: 0198526059 / ISBN 13: 9780198526056

Editore: Oxford University Press, 2009

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Dati bibliografici

• Titolo: Wavelet Methods for Elliptic Partial Differential Equations
• Editore: Oxford University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0198526059
• ISBN 13: 9780198526056
• Rilegatura: Rilegato
• Condizione: As New

Descrizione articolo

Riassunto

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.

Contenuti

• 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