Wavelet Methods for Elliptic Partial Differential Equations

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.Wavelet Methods for Elliptic Partial Differential Equations is written by Karsten Urban and published by OUP Oxford. ISBNs for Wavelet Methods for Elliptic Partial Differential Equations are 9780191523526, 0191523526 and the print ISBNs are 9780198526056, 0198526059.