MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR MULTISCALE KINETIC EQUATIONS WITH UNCERTAINTIES

DOI10.1142/9789813272880_0194zbMath1453.82071OpenAlexW2972380825MaRDI QIDQ5122170

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Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813272880_0194

zbMATH Keywords

sensitivity analysiskinetic equationsuncertainty quantificationhypocoercivityasymptotic-preservingmultiscalesstochastic galerkin

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Stochastic particle methods (65C35) Stochastic analysis in statistical mechanics (82M60)

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On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes ⋮ Sensitivity analysis of the non-linear Fokker-Planck equations with uncertainty ⋮ A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs

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