Pub. Date:
Cambridge University Press
Finite Volume Methods for Hyperbolic Problems / Edition 1

Finite Volume Methods for Hyperbolic Problems / Edition 1

by Randall J. LeVeque


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Product Details

ISBN-13: 9780521009249
Publisher: Cambridge University Press
Publication date: 08/26/2002
Series: Cambridge Texts in Applied Mathematics Series , #31
Edition description: New Edition
Pages: 578
Product dimensions: 5.98(w) x 8.98(h) x 1.14(d)

Table of Contents

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.

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