Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un. (A particle method for nonlinear one-dimensional diffusion-convection equations)

DOI10.1016/0377-0427(90)90334-VzbMath0829.65113MaRDI QIDQ1813815

Yann Brenier

Publication date: 25 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceparticle methodnonlinear convection-diffusion equationsapproximation by Dirac functionsmethod of random steps

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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 (2)

Methods for controlling the local spatial and temporal resolution of vortex particle simulations of bluff body aerodynamics problems ⋮ Approximation of a simple Navier-Stokes model by monotonic rearrangement

Cites Work

• Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
• Vortex sheet approximation of boundary layers
• Averaged Multivalued Solutions for Scalar Conservation Laws
• Convergence of Vortex Methods for Euler’s Equations. II
• Convergence of Random Methods for a Reaction-Diffusion Equation
• Vortex Methods. II: Higher Order Accuracy in Two and Three Dimensions
• The numerical solution of the Navier-Stokes equations for an incompressible fluid
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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