Convergence of renormalized particle methods for Friedrichs systems

DOI10.1016/j.crma.2004.10.021zbMath1068.65111OpenAlexW2050804329MaRDI QIDQ1776849

Jean-Paul Vila, Nathalie Lanson

Publication date: 12 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.10.021

zbMATH Keywords

convergenceconsistencyconservation lawsrenormalizationnumerical viscosityFriedrichs systemsexplicit Euler time discretizationrenormalized particle schemesmoothed particle hydrodynamics methods

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Smoothed particle hydrodynamics: Some recent improvements and applications
• Convergence of an explicit finite volume scheme for first order symmetric systems
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• Numerical Viscosity and Convergence of Finite Volume Methods for Conservation Laws with Boundary Conditions
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Symmetric hyperbolic linear differential equations
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