Second-Order Convergence of Monotone Schemes for Conservation Laws

DOI10.1137/16M1059138zbMath1342.65181arXiv1602.00459MaRDI QIDQ5739960

Susanne Solem, Ulrik Skre Fjordholm

Publication date: 7 July 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00459

zbMATH Keywords

Wasserstein metricconvergence ratehyperbolic conservation lawsnumerical experimentdiscontinuous solution

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Convergence rates of monotone schemes for conservation laws for data with unbounded total variation ⋮ Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances ⋮ Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems ⋮ A second-order numerical method for the aggregation equations ⋮ Computing oscillatory solutions of the Euler system via 𝒦-convergence ⋮ A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models ⋮ The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance

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