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Higher-Order Numerical Methods for Transient Wave Equations /

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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...

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Bibliographic Details
Main Author: Cohen, Gary C.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002.
Series:Scientific computation.
Subjects:
Physics.
Computer science > Mathematics.
Hearing.
Engineering mathematics.
Electronic books.
Sound.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • I. Basic Definitions and Properties: The Basic Equations. Functional Issues. Plane Wave Solutions
  • II. Finite Diffe rence Methods: Construction of the Schemes in Homogeneous Media. The Dispersion Relation. Stability of the Schemes. Numerical Dispersion and Anisotropy. Construction of the Schemes in Heterogeneous Media. Stability by Energy Techniques. Reflection--Transmission Analysis
  • III. Finite Element Methods: Mass-Lumping in 1D. Spectral Elements. Mass-Lumped Mixed Formulations and Edge Elements. Modeling Unbounded Domains. Bibliography.