Abstract
For a hyperbolic system of conservation laws, the general form of conservative difference schemes involving two time-levels in an explicit or implicit way is obtained under natural assumptions. General results are shown on the schemes and this framework is used to study implicit schemes of second-order accuracy.
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© 1989 Springer-Verlag
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Lerat, A. (1989). Difference schemes for nonlinear hyperbolic systems — A general framework. In: Carasso, C., Charrier, P., Hanouzet, B., Joly, JL. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083865
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DOI: https://doi.org/10.1007/BFb0083865
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