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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 and Qiang Zhang SIAM Journal on Numerical Analysis 60(4) 1741 (2022) https://doi.org/10.1137/21M1435495
Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws
Mengjiao Jiao, Yan Jiang, Chi-Wang Shu and Mengping Zhang ESAIM: Mathematical Modelling and Numerical Analysis 56(4) 1401 (2022) https://doi.org/10.1051/m2an/2022037
Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations
Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Chi-Wang Shu Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 371 (2016) https://doi.org/10.1007/978-3-319-41640-3_12
Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues
J. Qiu and Q. Zhang Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues 17 147 (2016) https://doi.org/10.1016/bs.hna.2016.06.001