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Higher-Order Numerical Methods for Transient Wave Equations

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
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Scientific Computation
Subjects:
Electrodynamics
Engineering Mathematics
Computational Mathematics And Numerical Analysis
Mathematics / Data Processing
Classical Electrodynamics
Acoustics
Mathematical Physics
Engineering / Data Processing
Theoretical, Mathematical And Computational Physics
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Basic Definitions and Properties
  • 1. The Basic Equations
  • 2. Functional Issues
  • 3. Plane Wave Solutions
  • II. Finite Difference Methods
  • 4. Construction of the Schemes in Homogeneous Media
  • 5. The Dispersion Relation
  • 6. Stability of the Schemes
  • 7. Numerical Dispersion and Anisotropy
  • 8. Construction of the Schemes in Heterogeneous Media
  • 9. Stability by Energy Techniques
  • 10. Reflection-Transmission Analysis
  • III. Finite Element Methods
  • 11. Mass-Lumping in 1D
  • 12. Spectral Elements
  • 13. Mass-Lumped Mixed Formulations and Edge Elements
  • 14. Modeling Unbounded Domains
  • A.1.1 Notation
  • A.2.1 Notation

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