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- W2279266936 abstract "An analysis of the error of the upwind scheme for transport equation with discontinuous coefficients is provided. We consider here a velocity field that is bounded and one-sided Lipschitz continuous. In this framework, solutions are defined in the sense of measures along the lines of Poupaud and Rascle's work. We study the convergence of the upwind scheme in the Wasserstein distances. More precisely, we prove that in this setting the convergence is 1/2. We also show the optimality of this result. In the appendix, we show that this result also applies to other diffusive first order schemes and to a forward semi-Lagrangian scheme." @default.
- W2279266936 created "2016-06-24" @default.
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- W2279266936 date "2016-02-18" @default.
- W2279266936 modified "2023-10-17" @default.
- W2279266936 title "Convergence order of upwind type schemes for transport equations with discontinuous coefficients" @default.
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