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Volumn 335, Issue 12, 2002, Pages 1069-1072

Nonlinear scheme to approximate nonconservative hyperbolic system;Schéma nonlinéaire pour l'approximation numérique d'un système hyperbolique non conservatif

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EID: 0038729437     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02615-8     Document Type: Article
Times cited : (15)

References (9)
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    • C. Berthon, F. Coquel, Travelling wave solutions of a convective diffusive system with first and second order terms in nonconservation form, in: Hyperbolic Problems: Theory, Numerics, Applications, Vol. I, in: Internat. Ser. Numer. Math., Vol. 129, Birkhäuser, 1999, pp. 47-54.
    • (1999) Hyperbolic Problems: Theory, Numerics, Applications Vol. I, Internat. Ser. Numer. Math. , vol.129 , pp. 47-54
    • Berthon, C.1    Coquel, F.2
  • 2
    • 0035631410 scopus 로고    scopus 로고
    • A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
    • M. Castro, J. Macas, C. Pars, A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system, Math. Model. Numer. Anal. 35 (1) (2001) 107-127.
    • (2001) Math. Model. Numer. Anal. , vol.35 , Issue.1 , pp. 107-127
    • Castro, M.1    Macas, J.2    Pars, C.3
  • 3
    • 0001522672 scopus 로고
    • Definition and weak stability of a nonconservative product
    • G. Dal Maso, P. LeFloch, F. Murat, Definition and weak stability of a nonconservative product, J. Math. Pures Appl. 74 (1995) 483-548.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 483-548
    • Dal Maso, G.1    LeFloch, P.2    Murat, F.3
  • 4
    • 0003828736 scopus 로고    scopus 로고
    • Hyperbolic Systems of Conservations Laws
    • Springer
    • E. Godlewski, P.A. Raviart, Hyperbolic Systems of Conservations Laws, in: Appl. Math. Sci., Vol. 118, Springer, 1996.
    • (1996) Appl. Math. Sci. , vol.118
    • Godlewski, E.1    Raviart, P.A.2
  • 5
    • 84968497746 scopus 로고
    • Why nonconservative schemes converge to wrong solutions: Error analysis
    • T.Y. Hou, P.G. LeFloch, Why nonconservative schemes converge to wrong solutions: error analysis, Math. Comp. 62 (206) (1994) 497-530.
    • (1994) Math. Comp. , vol.62 , Issue.206 , pp. 497-530
    • Hou, T.Y.1    LeFloch, P.G.2
  • 6
    • 0001819709 scopus 로고    scopus 로고
    • An introduction to nonclassical shocks of systems of conservation laws
    • Lecture Notes Comput. Sci. Engrg., Springer
    • P.G. LeFloch, An introduction to nonclassical shocks of systems of conservation laws, in: An Introduction to Recent Developments in Theory and Numerics for Conservation Laws, in: Lecture Notes Comput. Sci. Engrg., Vol. 5, Springer, 1999, pp. 28-72.
    • (1999) an Introduction to Recent Developments in Theory and Numerics for Conservation Laws , vol.5 , pp. 28-72
    • LeFloch, P.G.1
  • 7
    • 0001264916 scopus 로고
    • A nonconservative hyperbolic system modelling spray dynamics. Part 1. Solution of the Riemann problem
    • P.A. Raviart, L. Sainsaulieu, A nonconservative hyperbolic system modelling spray dynamics. Part 1. Solution of the Riemann problem, Math. Models Methods Appl. Sci. 5 (3) (1995) 297-333.
    • (1995) Math. Models Methods Appl. Sci. , vol.5 , Issue.3 , pp. 297-333
    • Raviart, P.A.1    Sainsaulieu, L.2
  • 8
    • 0037537278 scopus 로고
    • Ondes progressives solutions de systèmes convectifs-diffusifs et systèmes hyperboliques non conservatifs
    • L. Sainsaulieu, Ondes progressives solutions de systèmes convectifs-diffusifs et systèmes hyperboliques non conservatifs, C. R. Acad. Sci. Paris, Série I 312 (1991) 491-494.
    • (1991) C. R. Acad. Sci. Paris, Série I , vol.312 , pp. 491-494
    • Sainsaulieu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.