Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

DOI10.1016/j.jcp.2019.03.021zbMath1452.65241arXiv1810.11111OpenAlexW2898460104MaRDI QIDQ2220599

Yuan Liu, Yong-Tao Zhang, Yingda Cheng, Shanqin Chen

Publication date: 25 January 2021

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

Full work available at URL: https://arxiv.org/abs/1810.11111

zbMATH Keywords

sparse griddiscontinuous Galerkin methodsreaction-diffusion equationsKrylov subspace approximationimplicit integration factor methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods ⋮ Randomized Newton's method for solving differential equations based on the neural network discretization ⋮ Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation ⋮ An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions ⋮ Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs

Uses Software

• MATLAB expm

Cites Work

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