A fully discrete scheme for diffusive-dispersive conservation laws

Numerische Mathematik

Volumn 89, Issue 3, 2001, Pages 493-509

  Chalons, C ^a,b   LeFloch, P G ^a  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

^b ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040433291     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005476     Document Type: Article

References (7)

1. B.T. Hayes, P.G. LeFloch (1997): Nonclassical shocks and kinetic relations : Scalar conservation laws. Arch. Rational Mech. Anal. 139, 1-56
2. B.T. Hayes, P.G. LeFloch (1998): Nonclassical shocks and kinetic relations : Finite difference schemes. SIAM J. Numer. Anal. 35, 2169-2194
3. P.G. LeFloch (1998): An introduction to nonclassical shocks of systems of conservation laws, Proceedings of the "International School on Theory and Numerics for Conservation Laws", Freiburg/Littenweiler (Germany), 20-24 October 1997. In: D. Kröner, M. Ohlberger, C. Rohde (ed.) Lecture Notes in Computational Science and Engineering, pp. 28-72
4. P.G. LeFloch (1998): An introduction to nonclassical shocks of systems of conservation laws, Proceedings of the "International School on Theory and Numerics for Conservation Laws", Freiburg/Littenweiler (Germany), 20-24 October 1997. In: D. Kröner, M. Ohlberger, C. Rohde (ed.) Lecture Notes in Computational Science and Engineering, pp. 28-72
5. P.G. LeFloch, C. Rohde (2000): High-order schemes, entropy inequalities, and nonclassical shocks. SIAM J. Numer. Anal. 37, 2023-2060
6. C.W. Shu (1998): Total-variation diminishing time discretization. SIAM J. Sci. Stat. Comput. 9, 1073-1084
7. E. Tadmor (1987): The numerical viscosity of entropy stable schemes for systems of conservation laws. Math. Comput. 49, 91-103