Higher-order numerical methods for transient wave equations / Gary C. Cohen.

By: Cohen, Gary C, 1952-Material type: TextTextLanguage: English Series: Scientific computationCopyright date: Berlin ; New York : Springer , 2002Edition: First EditionDescription: xviii, 348 pages : illustrations (some colours) ; 24 cmISBN: 9783540415985Subject(s): Wave equation -- Numerical solutions | Numerical analysis | Physics | Engineering mathematics | Ecuación de onda -- Soluciones numéricas | Análisis numérico | Física | Ingeniería matemáticaDDC classification: 530.124 LOC classification: QA927 | .C54 2002Online resources: Publisher description | Table of contents only
Partial contents:
Part I. Basic Definitions and Properties -- 1. The Basic Equations -- 2. Functional Issues -- 3. Plane Wave Solutions -- Part 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 -- Part III. Finite Element Methods -- 11. Mass-Lumping in 1D -- 12. Spectral Elements -- 13. Mass-Lumped Mixed Formulations and Edge Elements -- 14. Modeling Unbounded Domains.
Abstract: "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.
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Item type Current library Call number Copy number Status Date due Barcode Item holds
Libro académico Libro académico Biblioteca del Campus
530.124 C6783h 2002 (Browse shelf (Opens below)) Ej. 1 Available 002161
Libro académico Libro académico Biblioteca del Campus
530.124 C6783h 2002 (Browse shelf (Opens below)) Ej. 2 Available 002162
Libro académico Libro académico Biblioteca del Campus
530.124 C6783h 2002 (Browse shelf (Opens below)) Ej. 3 Available 002163
Total holds: 0

Includes index.

Includes bibliographical references (p. [341]-346).

Part I. Basic Definitions and Properties -- 1. The Basic Equations -- 2. Functional Issues -- 3. Plane Wave Solutions -- Part 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 -- Part III. Finite Element Methods -- 11. Mass-Lumping in 1D -- 12. Spectral Elements -- 13. Mass-Lumped Mixed Formulations and Edge Elements -- 14. Modeling Unbounded Domains.

"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.

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