Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions

DOI10.1051/m2an/2015050zbMath1347.65145OpenAlexW2183137165MaRDI QIDQ2806042

Elena Rossi, Veronika Schleper

Publication date: 13 May 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015050

zbMATH Keywords

convergencefinite volume methodparabolic equationfinite difference schemesnumerical experimenthyperbolic equationcoupled equationsnonlocal conservation lawsLax-Friedrichs methodmixed systems of partial differential equations

Mathematics Subject Classification ID

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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Mixed-type systems of PDEs (35M30)

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• On the Numerical Integration of Scalar Nonlocal Conservation Laws
• Nonlocal Systems of Conservation Laws in Several Space Dimensions
• Finite volume schemes for nonhomogeneous scalar conservation laws: Error estimate

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