Numerical approximation of hyperbolic systems of conservation laws / Edwige Godlewski, Pierre-Arnaud Raviart

Auteur principal : Godlewski, Edwige, AuteurCo-auteur : Raviart, Pierre-Arnaud, 1939-, AuteurType de document : MonographieCollection : Applied mathematical sciences, 118Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 1996Description : 1 vol. (VIII-509 p.) : ill. ; 24 cmISBN: 9780387945293.ISSN: 0066-5452.Bibliographie : Bibliogr. p. 461-500. Index.Sujet MSC : 35L65, PDEs - Hyperbolic equations and hyperbolic systems, Hyperbolic conservation laws
76M20, Fluid mechanics, Finite difference methods applied to problems in fluid mechanics
76N15, Fluid mechanics, Gas dynamics, general
65-02, Research exposition (monographs, survey articles) pertaining to numerical analysis
65M06, Numerical analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs
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This work is devoted to the theory and approximation of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors (Hyperbolic systems of conservation laws, Mathématiques et Applications, Ellipses, Paris), in which the scalar case is covered. The authors mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. (Zentralblatt)

Bibliogr. p. 461-500. Index

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