Skip to content Skip to navigation

Faculty

Yuan Xu Lecturer

Bio: 

Educational Background

PhD, Mathematics, Nanjing University (2022)

BS, Information and Computing Science, Nanjing University, (2017)

 

Research

Research Interests

Theoretical analysis of discontinuous Galerkin method for hyperbolic equations

Journal Articles

  1. Y. Xu, Q. Zhang, C.-W. Shu and H. Wang, The L2-norm stability analysis of Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations, SIAM Journal on Numerical Analysis, 57 (2019), 1574-1601.
  2. Y. Xu, C.-W. Shu and Q. Zhang, Error estimate of the fourth-order Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations, SIAM Journal on Numerical Analysis, 58 (2020), 2885-2914.
  3. Y. Xu, X. Meng, C.-W. Shu and Q. Zhang, Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation, Journal of Scientific Computing 84 (2020). Article 23.
  4. Y. Xu, D. Zhao and Q. 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. Journal of Scientific Computing 91 (2022). Article 11.
  5. Y. Xu and Q. Zhang, Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation, Communications on Applied Mathematics and Computation, 4, 319-352 (2022).
  6. J. Ai, Y. Xu, C.-W. Shu and Q. 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 Journal on Numerical Analysis, 60 (2022), 1741-1773.

Academic Title

Reviewer of Mathematical Reviews

Contact

Phone:13605193270

Email：yuanxu@njnu.edu.cn