Qiang Zhang

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 16

Top Topics

Conservation Laws

Stability Analysis

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Yuan Xu, Chi-Wang Shu, Qiang Zhang
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. J. Sci. Comput. 100 (3) (2024)
Haijin Wang, Xiaobin Shi, Qiang Zhang
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Backward Difference Formulas up to Fifth Order for Convection-Diffusion Equation. J. Sci. Comput. 96 (2) (2023)
Yuan Xu, Di Zhao, Qiang Zhang
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. J. Sci. Comput. 91 (1) (2022)
Jingqi Ai, Yuan Xu, Chi-Wang Shu, Qiang Zhang
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. SIAM J. Numer. Anal. 60 (4) (2022)
Jia Li, Dazhi Zhang, Xiong Meng, Boying Wu, Qiang Zhang
Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax-Friedrichs Numerical Fluxes. SIAM J. Numer. Anal. 58 (1) (2020)
Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang
Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. J. Sci. Comput. 84 (1) (2020)
Yuan Xu, Chi-Wang Shu, Qiang Zhang
Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 58 (5) (2020)
Yuan Xu, Qiang Zhang, Chi-Wang Shu, Haijin Wang
-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 57 (4) (2019)
Haijin Wang, Qiang Zhang, Chi-Wang Shu
Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. 81 (3) (2019)
Haijin Wang, Jingjing Zheng, Fan Yu, Hui Guo, Qiang Zhang
Local Discontinuous Galerkin Method with Implicit-Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media. J. Sci. Comput. 78 (1) (2019)
Di Zhao, Qiang Zhang
Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Two-dimensional Linear Sobolev Equation. J. Sci. Comput. 78 (3) (2019)
Haijin Wang, Yunxian Liu, Qiang Zhang, Chi-Wang Shu
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. Math. Comput. 88 (315) (2019)
Haijin Wang, Qiang Zhang, Chi-Wang Shu
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. J. Comput. Appl. Math. 342 (2018)
Yao Cheng, Qiang Zhang
Local Analysis of the Local Discontinuous Galerkin Method with Generalized Alternating Numerical Flux for One-Dimensional Singularly Perturbed Problem. J. Sci. Comput. 72 (2) (2017)
Yao Cheng, Xiong Meng, Qiang Zhang
Application of generalized Gauss-Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations. Math. Comput. 86 (305) (2017)
Haijin Wang, Chi-Wang Shu, Qiang Zhang
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. Appl. Math. Comput. 272 (2016)
Haijin Wang, Chi-Wang Shu, Qiang Zhang
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. SIAM J. Numer. Anal. 53 (1) (2015)
Yao Cheng, Feng Zhang, Qiang Zhang
Local Analysis of Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem. J. Sci. Comput. 63 (2) (2015)
Qiang Zhang, Chi-Wang Shu
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. Numerische Mathematik 126 (4) (2014)
Qiang Zhang, Fuzheng Gao
A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation. J. Sci. Comput. 51 (1) (2012)
Xiong Meng, Chi-Wang Shu, Qiang Zhang, Boying Wu
Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. SIAM J. Numer. Anal. 50 (5) (2012)
Qiang Zhang
Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Linear Conservation Law with Inflow Boundary Condition. J. Sci. Comput. 46 (2) (2011)
Qiang Zhang, Chi-Wang Shu
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws. SIAM J. Numer. Anal. 48 (3) (2010)
Fuzheng Gao, Jianxian Qiu, Qiang Zhang
Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation. J. Sci. Comput. 41 (3) (2009)
Qiang Zhang, Zi-Long Wu
Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method. J. Sci. Comput. 38 (2) (2009)
Qiang Zhang, Chi-Wang Shu
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. SIAM J. Numer. Anal. 44 (4) (2006)
Qiang Zhang, Chi-Wang Shu
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. SIAM J. Numer. Anal. 42 (2) (2004)