Wavelets in numerical simulation
Subtitle: problem adapted construction and applications
By: Karsten Urban
Series: Lecture notes in computational science and engineering -- 22
Publisher: Springer
Published: 2002
Place of publication: Berlin; New York
Language: eng
Number of pages: 181
Subjects: Wavelets (Mathematics); Mathematical models
Description: This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The particular constructions are guided by the ultimate goal to ensure the key features also for general domains and problem classes. All constructions are illustrated by figures and examples are given.
Notes: Includes bibliographical references (p. [161]-167) and index