Randall J. LeVeque (University of Washington)

Finite Volume Methods for Hyperbolic Problems

Herausgeber: Crighton, D. G.

• Broschiertes Buch

Produktbeschreibung

This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Produktdetails

• Cambridge Texts in Applied Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 580
• Erscheinungstermin: 15. August 2013
• Englisch
• Abmessung: 244mm x 170mm x 32mm
• Gewicht: 944g
• ISBN-13: 9780521009249
• ISBN-10: 0521009243
• Artikelnr.: 12495950

Inhaltsangabe

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.

Rezensionen

'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