Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2004)

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2006)

Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation. - Fuzheng Gao; Jianxian Qiu; Qiang Zhang 018 (J. Sci. Comput., 2009)

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method. - Qiang Zhang 018; Zilong Wu (J. Sci. Comput., 2009)

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2010)

Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Linear Conservation Law with Inflow Boundary Condition. - Qiang Zhang 018 (J. Sci. Comput., 2011)

A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation. - Qiang Zhang 018; Fuzheng Gao (J. Sci. Comput., 2012)

Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. - Xiong Meng; Chi-Wang Shu; Qiang Zhang 018; Boying Wu (SIAM J. Numer. Anal., 2012)

Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. - Qiang Zhang 018; Chi-Wang Shu (Numerische Mathematik, 2014)

Local Analysis of Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem. - Yao Cheng; Feng Zhang; Qiang Zhang 018 (J. Sci. Comput., 2015)

Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. - Haijin Wang; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2015)

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. - Haijin Wang; Chi-Wang Shu; Qiang Zhang 018 (Appl. Math. Comput., 2016)

Local Analysis of the Local Discontinuous Galerkin Method with Generalized Alternating Numerical Flux for One-Dimensional Singularly Perturbed Problem. - Yao Cheng; Qiang Zhang 018 (J. Sci. Comput., 2017)

Application of generalized Gauss-Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations. - Yao Cheng; Xiong Meng; Qiang Zhang 018 (Math. Comput., 2017)

Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (J. Comput. Appl. Math., 2018)

Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (J. Sci. Comput., 2019)

Local Discontinuous Galerkin Method with Implicit-Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media. - Haijin Wang; Jingjing Zheng; Fan Yu; Hui Guo; Qiang Zhang 018 (J. Sci. Comput., 2019)

Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Two-dimensional Linear Sobolev Equation. - Di Zhao; Qiang Zhang 018 (J. Sci. Comput., 2019)

Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. - Haijin Wang; Yunxian Liu; Qiang Zhang 018; Chi-Wang Shu (Math. Comput., 2019)

The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu; 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; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2020)

Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax-Friedrichs Numerical Fluxes. - Jia Li; Dazhi Zhang; Xiong Meng; Boying Wu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2020)

Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu; 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; 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; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2022)

Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. - Haijin Wang; Fengyan Li; Chi-Wang Shu; Qiang Zhang 018 (Math. Comput., 2023)

Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Backward Difference Formulas up to Fifth Order for Convection-Diffusion Equation. - Haijin Wang; Xiaobin Shi; Qiang Zhang 018 (J. Sci. Comput., 2023)

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; Xiaobin Shi (Comput. Math. Appl., 2024)

Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. - Haijin Wang; Qi Tao; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 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; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2024)

Correction to: Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (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; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2025)