CURRENT ADDRESS
School of Mathematics, Wushan Campus, South China University of Technology
No. 381 Wushan Road, Tianhe District, Guangzhou, Guangdong 510641, China
Tel : +86-15501182099 Email: jflflu@scut.edu.cn
EDUCATION
• 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 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
WORKING EXPERIENCE
• 07/2016 – 08/2018
Postdoc in Applied and Computational Mathematics Division, Beijing Computational Science Research Center
Supervisors: Prof. Qiang Du & Prof. Lili Ju
• 09/2018 – 07/2021
Young Talent in South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University.
• 08/2021 – present
Assistant Professor in School of Mathematics, South China University of Technology.
RESEARCH INTERESTS
• Finite difffference and fifinite volume essentially non-oscillatory (ENO) and weighted ENO methods
• Discontinuous Galerkin fifinite element methods
• Numerical boundary treatments for ”cut-cell” problems
• Numerical methods for nonlocal diffffusion problems
• Numerical analysis: error estimates and superconvergence
FUNDING
• China Postdoctoral Science Foundation, No. 2017M610749, 2017/05 – 2019/05, 50,000 RMB
• Young Scientists Fund from NSFC, No. 11901213, 2020/01 – 2022/12, 270,000 RMB
TEACHING EXPERIENCE
• Undergraduate courses (SCNU & SCUT):
– 2019/09 – 2020/01 Calculus II-1
– 2020/09 – 2021/01 Linear Algebra
– 2021/09 – 2022/01 Calculus II-1
• Teaching Assistant for undergraduate courses, University of Science and Technology of China:
– 2011/09 – 2012/02 Analytical Geometry
– 2012/09 – 2013/02 Mathematical Analysis (B1)
– 2013/03 – 2013/07 Linear Algebra (B)
– 2014/03 – 2014/07 Computational Methods
COMPUTER SKILLS
• Programming: Fortran, Matlab, Mathematica, C, MPI
• software: Latex, Tecplot
FULL PUBLICATIONS
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-Wendroffff procedure for numerical
boundary conditions of convection-diffffusion 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 diffffusion problems, Math. Comp. 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 diffffusion 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 diffffusion problems , Comm. Appl. Math. Comput. 2 (2020), 31 – 55.
6. J. Lu, C.-W. Shu, S. Tan and M. Zhang, An inverse Lax-Wendroffff procedure for hyperbolic
conservation laws with changing wind direction on the boundary, J. Comput. Phys. 426 (2021),
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. 55 (2021), 329 – 356.
8. J. Lu, Y. Liu and C.-W. Shu, An oscillation-free discontinuous Galerkin method for scalar hyper
bolic conservation laws, SIAM J. Numer. Anal. 59 (2021), 1299 – 1324.
29. T. Li, J. Lu and C.-W. Shu, Stability analysis of inverse Lax-Wendroffff boundary treatment of
high order compact difffference schemes for parabolic equations, J. Comput. Appl. Math. 400
(2022). https://doi.org/10.1016/j.cam.2021.113711
10. Y. Liu, J. Lu and C.-W. Shu, An essentially oscillation-free discontinuous Galerkin method for
hyperbolic systems, SIAM J. Sci. Comput. to appear.
