Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 1998 · 2.4K citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +14

A Local Discontinuous Galerkin Method for KdV Type Equations

Jue Yan, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 2002 · 335 citations · Full text

Natural Sciences, Computational Engineering, Physics +16

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

Yan Xu, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 2012 · 110 citations

Natural Sciences, Computational Engineering, Computational Mechanics +15

Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Xiong Meng, Chi‐Wang Shu, Boying Wu · Mathematics of Computation · 2015 · 110 citations · Full text

Computing, Computational Engineering, Mathematics +17

Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations

Yan Xu, Chi‐Wang Shu · Physica D Nonlinear Phenomena · 2005 · 88 citations

Natural Sciences, Computational Engineering, Physics +13