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Higher-Order Numerical Methods for Transient Wave Equations






Publisher:  Springer
Summary: 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 computin...g 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.

Cohen, Gary is the author of Higher-Order Numerical Methods for Transient Wave Equations, published under ISBN 9783540415985 and 354041598X. One hundred three Higher-Order Numerical Methods for Transient Wave Equations textbooks are available for sale on ValoreBooks.com, three used from the cheapest price of $115.86, or buy new starting at $154.59.
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Higher-Order Numerical Methods for Transient Wave Equations

ISBN-13: 9783540415985

ISBN: 354041598X

Publisher: Springer
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