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arXiv:1808.04661 [math.NA]AbstractReferencesReviewsResources

The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance

Adrian M. Ruf, Espen Sande, Susanne Solem

Published 2018-08-14Version 1

We prove that the first-order convergence rate for monotone finite volume approximations of one-dimensional scalar conservation laws in the Wasserstein distance, proved by Nessyahu, Tadmor and Tassa in 1994, is optimal.

Comments: 10 pages, 5 figures, 2 tables
Categories: math.NA
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