An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation

DOI10.4310/CMS.2009.v7.n3.a7zbMath1185.65180OpenAlexW1978569830MaRDI QIDQ1049720

Richard Sharp, Maria Pia Gualdani, Irene Martínez Gamba

Publication date: 13 January 2010

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2009.v7.n3.a7

zbMATH Keywords

stabilityconvergencediscontinuous Galerkin methodadaptive methodpseudo-differential operatorWigner-Fokker-Planck equationQuantum Fokker-Planck operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fokker-Planck equations (35Q84)

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