研究人员 Faculty

Jianfang Lu

学历/职称:

Ph. D / Lecturer

研究方向:

Numerical methods for PDEs

联系方式:

jflu@m.scnu.edu.cn

  • 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.


  • 研究领域
    1.  Finite difference and finite volume essentially non-oscillatory (ENO) and weighted ENO methods

    2.  Finite element discontinuous Galerkin methods

    3.  Numerical boundary treatments for "cut-cell" problems

    4.  Numerical methods for Nonlocal diffusion problems

    5.  Computational fluid dynamics and numerical simulations for biological models 

  • 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

  • 论文发布
    1.   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.

    2.  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.

    3.  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.

    4.  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.

    5.  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. 

    6. 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

    7. 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