A study of multiscale kinetic models with uncertainties

DOI10.1007/978-3-031-29875-2_7zbMATH Open1548.65039MaRDI QIDQ6613480

Liu Liu

Publication date: 2 October 2024

zbMATH Keywords

sensitivity analysisuncertainty quantificationstochastic Galerkin methodmulti-fidelity methodmultiscale kinetic models

Mathematics Subject Classification ID

Epidemiology (92D30) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Transport processes in time-dependent statistical mechanics (82C70) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

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