Wavelet Methods for Elliptic Partial Differential Equations

Klappentext Wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have been used successfully in other areas, however. Elliptic Partial Differential Equations which model several processes in, for example, science and engineering, is one such field. This book, based on the author's course, 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. Zusammenfassung 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. Inhaltsverzeichnis 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

Product details

• Authors: Karsten Urban, Karsten (Director of the Institute of Numerical Mathematics Urban, Urban Karsten
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 30.12.2008
• EAN: 9780198526056
• ISBN: 978-0-19-852605-6
• No. of pages: 512
• Dimensions: 161 mm x 241 mm x 33 mm
• Series: Numerical Mathematics and Scientific Computation; Numerical Mathematics and Scie; Numerical Mathematics and Scientific Computation; Numerical Mathematics and Scie
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; TECHNOLOGY & ENGINEERING / Engineering (General), MATHEMATICS / Differential Equations / General, MATHEMATICS / Functional Analysis, Mathematics, MATHEMATICS / Numerical Analysis, Numerical analysis, Differential calculus & equations, Engineering: general, Functional analysis & transforms, Functional analysis and transforms, Differential calculus and equations