Approximation to Singular Quadratic Collision Model in Fokker--Planck--Landau Equation

DOI10.1137/18M1230268zbMath1447.65101arXiv1812.01451MaRDI QIDQ3300849

Ruo Li, Yixuan Wang, Yan Li Wang

Publication date: 30 July 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01451

zbMATH Keywords

Fokker-Planck-Landau equationsupersingularityHermite-Galerkin spectral methodquadratic collision operatorBurnett polynomials

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical mechanics of plasmas (82D10) Fokker-Planck equations (35Q84)

Related Items (4)

Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma ⋮ Random Batch Particle Methods for the Homogeneous Landau Equation ⋮ opPINN: physics-informed neural network with operator learning to approximate solutions to the Fokker-Planck-Landau equation ⋮ Hermite spectral method for multi-species Boltzmann equation

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