Wavelet Methods for Elliptic Partial Differential Equations. Numerical Mathematics and Scientific Computation |
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| Author:
| Urban, Karsten |
| Series title: | Numerical Mathematics and Scientific Computation Oxford Scie Ser. |
| ISBN: | 978-1-281-93070-5 |
| Publication Date: | Jan 2008 |
| Publisher: | Oxford University Press
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| Book Format: | Ebook |
| List Price: | USD $166.50 |
Book Description:
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A text based on the author's course that introduces graduates to the basics of wavelet methods for partial differential equations and describes the construction and analysis of adaptive wavelet methods. -;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...
More DescriptionA text based on the author's course that introduces graduates to the basics of wavelet methods for partial differential equations and describes the construction and analysis of adaptive wavelet methods. -;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.