Jingwei Li
Associate professor of Institute of Computational Mathematics.
Email：lijingwei@lzu.edu.cn
Ph.D.Xinjiang University, China, 2020, Computational Mathematics
Biography
Dr. Jingwei Li is currently Associate Professor in School of Mathematics and Statistics, Lanzhou University (LZU). He was born in Feb. 1993 in Mengzhou City of Henan Province, China. He joined LZU in Nov. 2022. Before that, he worked as a postdoctor fellow in Beijing Normal University from Dec. 2020 to Nov. 2022. He received his Bachelor’s degree in 2015 and doctor's degree in 2020 from College of Mathematics and System Science, Xinjiang University. He has published about 20 papers in peer-reviewed journals of different disciplines, such as SIAM Journal on Scientific Computing, Journal of Computational Physics, Journal of Scientific Computing, Computer Physics Communications, Numerical Method for Partial Differential Equation, Communications in Mathematical Sciences and so on.
Work experience
2019.10-2020.11 Department of Mathematics, University of South Carolina, USA, Visiting Scholar, Advisor: Prof. Lili Ju
2020.12-2022.11 School of Mathematical Science, Beijing Normal University, China, Postdoctor Fellow (Research Assistant) , Advisor: Prof. Yongyong Cai
2022.11-present School of Mathematics and Statistics, Lanzhou University, China, Associate Professor
Education experience
2011.9-2015.6 College of Mathematics and System Science, Xinjiang University,China, Information and Computational Mathematics, Bachelor’s degree
2015.9-2020.6 College of Mathematics and System Science, Xinjiang University, China, Computational Mathematics, Master and Doctor's degree. Advisor: Prof. Xinlong Feng
Social experience
Teaching and guiding the situation of graduate students
Project results
2021.12-2022.11, China Postdoctoral Science Foundation grants 2021M700476，structure-preserving ETD schemes for the two phase fluid model, 80000, PI
Research interests
1. The numerical application of meshless collocation methods.
2. The numerical simulation of the surface partial differential equations.
3. Computational fluid dynamic including the numerical simulation on the Navier-Stokes equations.
4. The structure preserving scheme and corresponding numerical analyses of semilinear parabolic equations and their variants.
Publications
1 . Li J, Liu D, Zhang G, Lin Y. Lattice Boltzmann model for the generalized Ginzburg-Landau equation. Chinese Journal of Engineering Mathematics, 2016, 33(5):495-505.
2 . Li J, Zhai S,Weng Z, Feng X. H-adaptive RBF-FD method for the high-dimensional convection-diffusion equation. International Communications in Heat and Mass Transfer, 2017, 89:139-146.
3 . Li J, Qiao Y, Zhai S, Feng X. Meshless local Petrov Galerkin method for 2D/3D nonlinear convection-diffusion equations based on LS-RBF-PUM. Numerical Heat Transfer, Part B: Fundamentals, 2018, 74(1):450-464.
4 . Li J, Feng X, He Y. RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Engineering Analysis with Boundary Elements, 2019, 98:46-53.
5 . Li J, Zhao J, Qian L, Feng X. Two-level meshless local Petrov Galerkin method for multi-dimensional nonlinear convection-diffusion equation based on radial basis function. Numerical Heat Transfer, Part B: Fundamentals, 2019,74(4):685-698.
6 . Zhao F, Li J, Xiao X, Feng X. The characteristic RBF-FD method for the convection-diffusion-reaction equation on implicit surfaces. Numerical Heat Transfer, Part A: Applications, 2019,75(8):548-559.
7 . Sun T, Li J, Zhao J, Feng X. Least-squares RBF-FD method for the incompressible Stokes equations with the singular source. Numerical Heat Transfer, Part A: Applications, 2019,75(11):739-752.
8 . Li J, Gao Z, Feng X, He Y. Method of order reduction for the high-dimensional convection diffusion reaction equation with Robin boundary conditions based on MQ RBF-FD. International Journal of Computational Methods, 2019, 17(8):1950058.
9 . Li J, Gao Z, Dai Z, Feng X. Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition. Computer Physics Communications, 2020, 256:107408
10. Li J, Li X, Ju L, Feng X. Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. SIAM Journal on Scientific Computing,2021,43(3):A1780-A1802
11. Li J, Ju L, Cai Y, Feng X. Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Journal of Scientific Computing, 2021,87:98
12. Jiang K, Ju L, Li J, Li X. Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects. Numerical Methods for Partial Differential Equations, 2021, 1-22.
13. Huang Q, Jiang K, Li J. Exponential time differencing scheme for the Peng-Robinson equation of state with preservation of maximum bound principle, Advances in Applied Mathematics and Mechanics, 2022, 14:494-527.
14. Li J, Feng X, He Y. Local tangential lifting virtual element method for the diffusion reaction equation on the non-flat Voronoi discretized surface, Engineering with Computers, 2022, https://doi.org/10.1007/s00366-021-01595-1.
15. Cai Y, Ju L, Lan R, Li J. Stabilized exponential time differencing scheme for the convective Allen-Cahn equation, Communications in Mathematical Science, 2023, 1(21): 127-150
16. Lan R, Li J, Cai Y, Ju L. Operator splitting based structure preserving numerical schemes for the mass conserving convective Allen-Cahn equation, 2023, 472,111695.
Honor and Award
Other information
Social work:
2023.1-present, Reviewer of Mathematical Review in American Mathematical Society
