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Higher-Order Numerical Methods for Transient Wave Equations


by Gary Cohen

List Price: $115.00
Price: $97.75
You Save: $17.25 (15%)
Available: Usually ships in 24 hours
Sales Rank: 1145962
Studio: Springer
Binding: Hardcover
Number Of Pages: 348
Publication Date: December 12, 2001
Publisher: Springer


EDITORIAL REVIEWS

Product Description
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.


CUSTOMER REVIEWS (Average Customer Rating: 5.0 based on 2 reviews)

A must have !  
If you are studying this subject on your own and there are no one to help you with your work this is the book, you should have. This book explains the subjects to you as if your classmate is explaining them. The writer goes directly to the important sections of the subjects and doesn't deal with unnecessary details. The language he uses is perfect. There could have been some code samples but the solved examples can give you an idea on how you are going to code.
May 12, 2005

share beautiful ideas with the book  
This is a greak book which gives you a deep insight to understand high order numerical methods for wave equations. Read it, you will be suprised at the beautiful ideas of mass lumping and the elegant basis functions constructed for spectral element methods. The author is a genius and construcs several innovative basis functions for both hexahedral and tetrahedron elements. The only shortage is that it is not very detailed in some advanced topics. You may need to figure them out by yourself.
March 31, 2005
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