Higher-Order Numerical Methods for Transient Wave Equations

Specificaties
Gebonden, 349 blz. | Engels
Springer Berlin Heidelberg | 2002e druk, 2001
ISBN13: 9783540415985
Rubricering
Springer Berlin Heidelberg 2002e druk, 2001 9783540415985
Onderdeel van serie Scientific Computation
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003

Specificaties

ISBN13:9783540415985
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:349
Uitgever:Springer Berlin Heidelberg
Druk:2002

Inhoudsopgave

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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        Higher-Order Numerical Methods for Transient Wave Equations