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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 : 65M06, Numerical analysis -- Partial differential equations, initial value and time-dependent initial-boundary value problems, Finite difference methods
35L65, Partial differential equations -- Hyperbolic equations and systems, Conservation laws
76M20, Fluid mechanics -- Basic methods in fluid mechanics, Finite difference methods
76N15, Fluid mechanics -- Compressible fluids and gas dynamics, general, Gas dynamics, general
65-02, Numerical analysis, Research exposition (monographs, survey articles)
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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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