个人简介

教育背景 09/2006 - 07/2010 B.S. in Mathematics Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China. 09/2011 - 07/2016 Ph.D in Computational Mathematics Department of Computational and Applied Mathematics, School of Mathematical Sciences,University of Science and Technology of China, Hefei, Anhui 230026, P.R. China. Advisors: Prof. Chi-Wang Shu & Prof. Mengping Zhang 09/2014 - 06/2016 Visiting Student in Applied Mathematics Division of Applied Mathematics, Brown University, Providence, RI 02912, USA. Advisor: Prof. Chi-Wang Shu 工作经历 07/2016 - 08/2018 Postdoc in Applied and Computational Mathematics Division, Beijing Computational Science Research Center Supervisor: Professor Qiang Du & Lili Ju 09/2018 - present Young Talent in South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University. 科研项目 China Postdoctoral Science Foundation, Grant No. 2017M610749, 2017/05 - 2019/05, 50,000 RMB Young Scientists Fund from NSFC, Grant No. 11901213, 2020/01 - 2022/12, 270,000 RMB 获得荣誉 National Scholarship for Graduate Students, University of Science and Technology of China, 2012. 教学经验 2019/09 - 2020/01 Calculus II-1 2020/09 - 2021/01 Linear Algebra

研究领域

Numerical methods for PDEs

Finite difference and finite volume essentially non-oscillatory (ENO) and weighted ENO methods Finite element discontinuous Galerkin methods Numerical boundary treatments for "cut-cell" problems Numerical methods for Nonlocal diffusion problems Computational fluid dynamics and numerical simulations for biological models

近期论文

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J. Lu, C.-W. Shu and M. Zhang, Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates, Sci. China Math. 56 (2013), 2645 - 2676. J. Lu, J. Fang, S. Tan, C.-W. Shu and M. Zhang,Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations, J. Comput. Phys. 317 (2016), 276 - 300. Q. Du, L. Ju and J. Lu, A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems, Math. Comput. 88 (2019), 123 - 147. Q. Du, L. Ju and J. Lu,Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems, J. Sci. Comput. 78 (2019), 1438 - 1466. Q. Du, L. Ju, J. Lu, and Xiaochuan Tian,A discontinuous Galerkin method with penalty for nonlocal diffusion problems, Comm. Appl. Math. Comput. 2 (2020), 31 - 55. J. Lu, C.-W. Shu, S. Tan and M. Zhang, An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary, J. Comput. Phys., published online. https://doi.org/10.1016/j.jcp.2020.109940 Y. Liu, J. Lu and C.-W. Shu, Central discontinuous Galerkin methods on overlapping meshes for wave equations, ESAIM Math. Model. Numer. Anal., published online. https://doi.org/10.1051/m2an/2020069