Stability and consistency of kinetic upwinding for advection–diffusion equations

DOI10.1093/imanum/drl005zbMath1148.76041OpenAlexW2038452270MaRDI QIDQ3413526

Manuel Torrilhon, Kun Xue

Publication date: 12 December 2006

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cb7e3e278c6c3ff788b9bb49ae319c37832ff3e9

zbMATH Keywords

stabilityadvection-diffusionfinite difference methodsBGK modelkinetic schemes

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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