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Englisch
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Beschreibung
An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.
An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.
Inhaltsverzeichnis
Preface; 1. Introduction; 2. Conservation laws and differential equations; 3. Characteristics and Riemann problems for linear hyperbolic equations; 4. Finite-volume methods; 5. Introduction to the CLAWPACK software; 6. High resolution methods; 7. Boundary conditions and ghost cells; 8. Convergence, accuracy, and stability; 9. Variable-coefficient linear equations; 10. Other approaches to high resolution; 11. Nonlinear scalar conservation laws; 12. Finite-volume methods for nonlinear scalar conservation laws; 13. Nonlinear systems of conservation laws; 14. Gas dynamics and the Euler equations; 15. Finite-volume methods for nonlinear systems; 16. Some nonclassical hyperbolic problems; 17. Source terms and balance laws; 18. Multidimensional hyperbolic problems; 19. Multidimensional numerical methods; 20. Multidimensional scalar equations; 21. Multidimensional systems; 22. Elastic waves; 23. Finite-volume methods on quadrilateral grids; Bibliography; Index.
Details
Erscheinungsjahr: | 2013 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780521009249 |
ISBN-10: | 0521009243 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Leveque, Randall J.
Randall J., Leveque |
Redaktion: | Crighton, D. G. |
Hersteller: | Cambridge University Press |
Maße: | 244 x 170 x 32 mm |
Von/Mit: | Randall J. Leveque (u. a.) |
Erscheinungsdatum: | 15.08.2013 |
Gewicht: | 0,987 kg |
Inhaltsverzeichnis
Preface; 1. Introduction; 2. Conservation laws and differential equations; 3. Characteristics and Riemann problems for linear hyperbolic equations; 4. Finite-volume methods; 5. Introduction to the CLAWPACK software; 6. High resolution methods; 7. Boundary conditions and ghost cells; 8. Convergence, accuracy, and stability; 9. Variable-coefficient linear equations; 10. Other approaches to high resolution; 11. Nonlinear scalar conservation laws; 12. Finite-volume methods for nonlinear scalar conservation laws; 13. Nonlinear systems of conservation laws; 14. Gas dynamics and the Euler equations; 15. Finite-volume methods for nonlinear systems; 16. Some nonclassical hyperbolic problems; 17. Source terms and balance laws; 18. Multidimensional hyperbolic problems; 19. Multidimensional numerical methods; 20. Multidimensional scalar equations; 21. Multidimensional systems; 22. Elastic waves; 23. Finite-volume methods on quadrilateral grids; Bibliography; Index.
Details
Erscheinungsjahr: | 2013 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780521009249 |
ISBN-10: | 0521009243 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Leveque, Randall J.
Randall J., Leveque |
Redaktion: | Crighton, D. G. |
Hersteller: | Cambridge University Press |
Maße: | 244 x 170 x 32 mm |
Von/Mit: | Randall J. Leveque (u. a.) |
Erscheinungsdatum: | 15.08.2013 |
Gewicht: | 0,987 kg |
Warnhinweis