Convergence order of upwind type schemes for transport equations with discontinuous coefficients

DOI10.1016/j.matpur.2017.05.012zbMath1378.65163arXiv1602.05746OpenAlexW2964058469MaRDI QIDQ1679734

Frédéric Lagoutière, Nicolas Vauchelet, François Delarue

Publication date: 22 November 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05746

zbMATH Keywords

discontinuous coefficientserror boundcontinuity equationmeasure-valued solutionWasserstein distanceconvergence orderupwind finite volume schemeconservative transport equationforward semi-Lagrangian scheme

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) PDEs with low regular coefficients and/or low regular data (35R05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Analysis and Simulation of Nonlinear and Nonlocal Transport Equations, Convergence analysis of upwind type schemes for the aggregation equation with pointy potential, Convergence Rates for Upwind Schemes with Rough Coefficients, Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients, Discretizing advection equations with rough velocity fields on non-Cartesian grids, Large time behaviors of upwind schemes and $B$-schemes for Fokker-Planck equations on $\mathbb {R}$ by jump processes, Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions, Unnamed Item, A second-order numerical method for the aggregation equations, Analysis of the implicit upwind finite volume scheme with rough coefficients, Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit, Finite difference schemes for a structured population model in the space of measures, Numerical schemes for the aggregation equation with pointy potentials

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