偏微分方程数值解法
研究兴趣：
1 无网格配置法：径向基函数，移动最小二乘法等无网格方法的数值应用
2. 曲面偏微分方程的数值模拟：曲面Laplace-Beltrimi 方程，曲面Stokes 方程的数值计算及其在流形几何方程中的应用
3. 计算流体力学：Navier-Stokes 方程的有限元计算和理论分析以及快速算法的设计
4. 半线性抛物方程的保结构算法：尤其专注于相场方程基于指数积分子的时间离散方法的保结构分析和数值模拟 李精伟，兰州大学数学与统计学院副教授，男，1993年2月出生于河南省孟州市。2015年毕业于新疆大学数学与系统科学学院获得理学学士学位, 2020年在新疆大学数学与系统科学学院获得计算数学博士学位。研究方向为计算数学，研究兴趣包括无网格算法、曲面偏微分方程的数值模拟、计算流体和半线性抛物方程的保结构算法等。在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等国内外学术期刊上发表文章近20篇。
工作经历
2019.10-2020.11 美国南卡罗来纳大学数学系 访问学者 导师鞠立力教授
2020.12-2022.11 北京师范大学数学科学学院 博士后(助理研究员) 导师蔡勇勇教授
2022.11-至今 兰州大学数学与统计学院 副教授
教育经历
2011.9-2015.6 新疆大学数学与系统科学学院 信息与计算科学专业 理学学士
2015.9-2020.6 新疆大学数学与系统科学学院 计算数学专业 理学博士(硕博连读) 导师：冯新龙教授 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.
作者:李精伟
