A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing

An adaptive higher order method for solving the radiation transport equation on unstructured grids

Journal of Computational Physics

Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. one space dimension

Journal of Computational Physics

Unstructured Grid-Based Discontinuous Galerkin Method for Broadband Electromagnetic Simulations

Journal of Scientific Computing

A vertex-centered, dual discontinuous Galerkin method

Journal of Computational and Applied Mathematics - Special issue on computational and mathematical methods in science and engineering (CMMSE-2004)

Superconvergence of discontinuous Galerkin methods for hyperbolic systems

Journal of Computational and Applied Mathematics

The Discontinuous Galerkin Method for Two-dimensional Hyperbolic Problems Part II: A Posteriori Error Estimation

Journal of Scientific Computing

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems

Journal of Computational and Applied Mathematics

Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

Journal of Computational Physics

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

SIAM Journal on Numerical Analysis

Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

SIAM Journal on Numerical Analysis

Error estimate for the upwind finite volume method for the nonlinear scalar conservation law

Journal of Computational and Applied Mathematics

Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

Journal of Computational Physics

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods

Journal of Scientific Computing

Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension

Computers & Mathematics with Applications