Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations

DOI10.1007/s10915-016-0216-7zbMath1370.65045OpenAlexW2405092277MaRDI QIDQ2014035

Dong Lu, Yong-Tao Zhang

Publication date: 10 August 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0216-7

zbMATH Keywords

computational complexitynumerical examplessparse gridssemidiscretizationFokker-Planck equationsconvection-diffusion equationsKrylov subspace approximationadvection-diffusion-reaction equationsimplicit integration factor methodshigh spatial dimensions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20) Fokker-Planck equations (35Q84)

Related Items (11)

Krylov implicit integration factor methods for semilinear fourth-order equations ⋮ Long-time simulations of nonlinear Schrödinger-type equations using step size exceeding threshold of numerical instability ⋮ Efficient sparse-grid implementation of a fifth-order multi-resolution WENO scheme for hyperbolic equations ⋮ Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems ⋮ A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting ⋮ Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations ⋮ Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations ⋮ Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods ⋮ High order integration factor methods for systems with inhomogeneous boundary conditions ⋮ Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs ⋮ Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries

Uses Software

• MATLAB expm

Cites Work

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