Kniha Higher-Order Numerical Methods for Transient Wave Equations Gary C. Cohen

Higher-Order Numerical Methods for Transient Wave Equations

Autor: Gary C. Cohen
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
2 567
Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wav...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2001
Stránek
349
EAN
9783540415985
ISBN
354041598X
Enbook ID
01563260
Hmotnost
774
Rozměry
163 x 241 x 28

Kompletní popis

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.

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