Wavelet Methods for Elliptic Partial Differential Equations

Wavelet Methods for Elliptic Partial Differential Equations book cover

Wavelet Methods for Elliptic Partial Differential Equations

Author(s): Karsten Urban (Author)

  • Publisher: OUP Oxford
  • Publication Date: 27 Nov. 2008
  • Edition: Illustrated
  • Language: English
  • Print length: 510 pages
  • ISBN-10: 0198526059
  • ISBN-13: 9780198526056

Book 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.

Editorial Reviews

Review


“A nice and readable introduction to wavelet methods for elliptic PDEs. The book is very useful both for teaching and for research.”–
Mathematical Reviews


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