Numerical methods for high-dimensional kinetic equations

DOI10.1007/978-3-319-67110-9_3zbMath1404.65117OpenAlexW2794162621MaRDI QIDQ1627226

Heyrim Cho, Daniele Venturi, George Em. Karniadakis

Publication date: 22 November 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-67110-9_3

zbMATH Keywords

ANOVA decompositionlong-term integrationlow-rank tensor approximationhigh-dimensional kinetic equationssparse grid collocation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multidimensional problems (41A63) 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 quadrature and cubature formulas (65D32) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

Spectral methods for nonlinear functionals and functional differential equations

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