Semi-implicit integration factor methods on sparse grids for high-dimensional systems

DOI10.1016/j.jcp.2015.03.033zbMath1349.65340OpenAlexW2003535054WikidataQ35454233 ScholiaQ35454233MaRDI QIDQ349859

Weitao Chen, Dongyong Wang, Qing Nie

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/1096r8g7

zbMATH Keywords

Fokker-Planck equationsparse gridsimplicit methodreaction-diffusion equationsstiffnesshigh-dimension

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Krylov implicit integration factor methods for semilinear fourth-order equations ⋮ Fully discretized energy stable schemes for hydrodynamic equations governing two-phase viscous fluid flows ⋮ Efficient dissipation-preserving scheme for the damped nonlinear Schrödinger equation in three dimensions ⋮ Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions ⋮ Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems ⋮ Compact exponential energy-preserving method for the Schrödinger equation in the semiclassical regime ⋮ Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations ⋮ High order integration factor methods for systems with inhomogeneous boundary conditions ⋮ Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation ⋮ Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

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