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

DOI10.1007/s10915-019-00996-1zbMath1428.65022arXiv1808.04661OpenAlexW3104674802MaRDI QIDQ2330681

Espen Sande, Susanne Solem, Adrian M. Ruf

Publication date: 22 October 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04661

zbMATH Keywords

finite volume methodshyperbolic conservation lawsoptimal convergence ratesnumerical analysisWasserstein distance

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Convergence rates of monotone schemes for conservation laws for data with unbounded total variation ⋮ On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows ⋮ Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux ⋮ Computing oscillatory solutions of the Euler system via 𝒦-convergence ⋮ Convergence Rates of Monotone Schemes for Conservation Laws with Discontinuous Flux

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