WAVELET METHOD ELLITPIC PAR NMSC C

Erscheinungsjahr 2008
ISBN: 978-0-19-852605-6
Verlag: ACADEMIC

Buch, Englisch, 510 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 925 g

Reihe: Numerical Mathematics and Scientific Computation

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.

Zielgruppe

Graduates in mathematics, computer science, and engineering.

Autoren/Hrsg.

Urban

Urban, Karsten

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

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

Über Autor(innen)

Urban, Karsten
Karsten Urban, Director of the Institute of Numerical Mathematics, University of Ulm