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Finite Volume Methods for Hyperbolic Problems als Buch
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Finite Volume Methods for Hyperbolic Problems

135 b/w illus. 108 exercises. Sprache: Englisch.
Buch (kartoniert)
An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.
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Finite Volume Methods for Hyperbolic Problems als Buch
Produktdetails
Titel: Finite Volume Methods for Hyperbolic Problems
Autor/en: Randall J. (University of Washington) LeVeque

ISBN: 0521009243
EAN: 9780521009249
135 b/w illus. 108 exercises.
Sprache: Englisch.
Cambridge University Press

26. August 2002 - kartoniert - 580 Seiten

Beschreibung

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.

Pressestimmen

'It is moreover advantageous that the algorithms presented are public and easily available via the web-page cited. Similar to the book of R. J. LeVeque titled Numerical Methods for Conservation Laws, this manuscript will certainly become a part of the standard literature in the field of numerical methods for hyperbolic partial differential equations.' Journal of Applied Mathematics and Physics 'The text is very well written and can serve for self-study as well as an accompanying text book for teaching purposes ... a very sound and comprehensive introduction into hyperbolic problems and their numerical treatment.' Zentralblatt MATH

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