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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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002, 2002
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Edition: | 1st ed. 2002 |
Series: | Scientific Computation
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Subjects: | |
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