Local discontinuous galerkin method

SIAM Journal on Numerical Analysis, 2008
A local discontinuous Galerkin (LDG) method is developed for solving the Camassa-Holm (CH) equation which contains nonlinear high-order derivatives. The CH equation is split into a series of linear ordinary differential equations on which the LDG method is developed.
Yan Xu, Chi-Wang Shu
exaly +3 more sources

A local discontinuous Galerkin method for the Novikov equation

Mathematics of Computation
In this paper, we propose a local discontinuous Galerkin (LDG) method for the Novikov equation that contains cubic nonlinear high-order derivatives. Flux correction techniques are used to ensure the stability of the numerical scheme. The
Qi Tao +3 more
semanticscholar +3 more sources

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model

Journal of Scientific Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X. Li, Chi-Wang Shu, Yang Yang
semanticscholar +3 more sources

Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

Journal of Computational and Applied Mathematics, 2021
In this paper, an accurate numerical method is presented to solve a class of variable-order fractional diffusion problem. The problem first is discretized by a finite difference method in temporal direction, and then a local discontinuous Galerkin method
Leilei Wei, Yanfang Yang
semanticscholar +1 more source

physics
discontinuous galerkin method
stability

local discontinuous galerkin methods
error estimates
numerical examples

convergence
discontinuous galerkin methods
fos: mathematics