Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem

Optimal maximum-norm estimate of the LDG method for singularly perturbed convection–diffusion problem

(2022) Yao Cheng et al.   APPLIED MATHEMATICS LETTERS

The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems

(2022) Yao Cheng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Local Discontinuous Galerkin Method for a Third-Order Singularly Perturbed Problem of Convection-Diffusion Type

(2022) Li Yan et al.   Computational Methods in Applied Mathematics

Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems

(2021) Yao Cheng et al.   CALCOLO

Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $P^k$ elements

(2019) Yong Liu et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems

(2018) Huiqing Zhu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems

(2016) Haijin Wang et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

On discontinuous Galerkin finite element method for singularly perturbed delay differential equations

(2014) Helena Zarin   APPLIED MATHEMATICS LETTERS

Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer

(2013) Huiqing Zhu et al.   MATHEMATICS OF COMPUTATION

Convergence analysis of the LDG method applied to singularly perturbed problems

(2012) Huiqing Zhu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D

(2009) Ziqing Xie et al.   MATHEMATICS OF COMPUTATION