A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties

DOI10.1007/978-3-319-91548-7_1zbMath1412.65142OpenAlexW2809803739MaRDI QIDQ1722543

Ruiwen Shu, Jingwei Hu, Shih Jin

Publication date: 18 February 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-91548-7_1

zbMATH Keywords

Fokker-Planck-Landau equationsparse gridsuncertainty quantificationpolynomial chaosstochastic Galerkin method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

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Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case ⋮ A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification ⋮ A stochastic Galerkin method for Maxwell equations with uncertainty ⋮ Random Batch Particle Methods for the Homogeneous Landau Equation ⋮ Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties

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