Higher-Order Numerical Methods for Transient Wave Equations - Rilegato

Cohen, Gary C.

Rilegato

ISBN 10: 354041598X ISBN 13: 9783540415985

Casa editrice: Springer Nature, 2001

Riassunto

"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003

Su questo libro

Dalla quarta di copertina

Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 354041598X
• ISBN 13: 9783540415985
• Rilegatura: Copertina rigida
• Numero di pagine: 348
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania