The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu 021; Qiang Zhang 018; Chi-Wang Shu; Haijin Wang (SIAM J. Numer. Anal., 2019)

Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. - Yuan Xu 021; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2020)

Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu 021; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2020)

Local Error Estimates for Runge-Kutta Discontinuous Galerkin Methods with Upwind-Biased Numerical Fluxes for a Linear Hyperbolic Equation in One-Dimension with Discontinuous Initial Data. - Yuan Xu 021; Di Zhao; Qiang Zhang 018 (J. Sci. Comput., 2022)

L$^2$ Error Estimate to Smooth Solutions of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points. - Jingqi Ai; Yuan Xu 021; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2022)

Ultra-weak discontinuous Galerkin method with IMEX-BDF time marching for two dimensional convection-diffusion problems. - Haijin Wang; Lulu Jiang; Qiang Zhang 018; Yuan Xu 021; Xiaobin Shi (Comput. Math. Appl., 2024)

Stability Analysis and Error Estimate of the Explicit Single-Step Time-Marching Discontinuous Galerkin Methods with Stage-Dependent Numerical Flux Parameters for a Linear Hyperbolic Equation in One Dimension. - Yuan Xu 021; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2024)

Optimal Error Estimate of a Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Equation with Degenerate Points Moving Along Space-Time Curves. - Yuan Xu 021; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2025)

Ultra-Weak Discontinuous Galerkin Methods for Two-Dimensional Diffusive-Viscous Wave Equations. - Haijin Wang; Qiang Zhang 018; Yuan Xu 021 (J. Sci. Comput., 2026)