Higher-Order Numerical Methods for Transient Wave Equations

Name: Higher-Order Numerical Methods for Transient Wave Equations
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642074820
Price: 99.84 EUR
Availability: InStock

Autor: Gary Cohen

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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"To my knowledge [this] is the first book to address specifically the use of high-order discretizati...

Informácie o knihe

Autor

Gary Cohen

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

349

EAN

9783642074820

ISBN

3642074820

Enbook ID

01652613

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

618

Rozmery

155 x 235 x 25

Kompletný popis

"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 2003Solving 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.

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Higher-Order Numerical Methods for Transient Wave Equations

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