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姓名:李猛个人简介:
安徽亳州人,理学博士,直聘副教授,硕士研究生导师,美国《数学评论》(Mathematical Reviews) 评论员,邮箱:limeng@zzu.edu.cn
个人科研经历:
2017年6月毕业于华中科技大学数学与统计学院,并获得博士学位;2017年7月入职郑州大学; 2018年1月-2020年1月,博士后科研流动站
研究方向:
虚拟元方法、有限元方法、有限差分方法、谱方法、配置方法;分数阶偏微分方程数值解
科研项目:
1. 国家自然科学基金青年项目,**,几类分数阶偏微分方程的虚拟有限元方法,2019/01-2021/12,在研,主持
2. 第63批中国博士后科学基金面上项目,2018M632791,几类非线性时间分数阶模型的高精度无网格比有限元方法,2019/01-2020/12,在研,主持
3. 省科技厅项目,19A110034,分数阶 Ginzburg-Landau 方程的快速有限元方法研究,2019/01-2020/12,在研,主持
4. 国家自然科学基金面上项目,**,几类带非局部特征刚性问题的高效数值算法及其理论分析,2018/01-2021/12,在研,参加
5. 国家自然科学基金面上项目,**,谱插值与谱展开的快速算法与分析,2017/01-2020/12,在研,参加
获奖情况:
2016年博士研究生国家奖学金
科研主页:
https://www.researchgate.net/profile/Meng_Li256
https://mathscinet.ams.org/mathscinet/MRAuthorID/**
发表科研论文:
(1) Meng Li#, Xianming Gu*, Chengming Huang, etc, A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schr?dinger equations, Journal of Computational Physics, 2018, 358:256-282.
(2) Meng Li#, Dongyang Shi*, Junjun Wang, Unconditional superconvergence analysis of a linearized Crank–Nicolson Galerkin FEM for generalized Ginzburg–Landau equation, Computers and Mathematics with Applications, 2019,
Doi: 10.1016/j.camwa.2019.11.008.
(3) Meng Li#, Chengming Huang*, Yong-liang Zhao, Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schr?dinger equation, Numerical Algorithms, 2019, DOI: 10.1007/s11075-019-00793-9.
(4) Meng Li#, Jikun Zhao*, Chengming Huang, Shaochun Chen, Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data, Journal of Scientific Computing, 2019, DOI: 10.1007/s10915-019-01064-4.
(5) Meng Li#, Dongyang Shi*, Junjun Wang, Wanyuan Ming, Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schr{\"o}dinger equation, Applied Numerical Mathematics, , 2019, 142: 47-63.
(6) Meng Li#, Yong-liang Zhao*, A fast energy conserving finite element method for the nonlinear fractional Schr?dinger equation with wave operator, Applied Mathematics and Computation, 2018, 338(1), 758-773.
(7) Meng Li#, Chengming Huang*, Wanyuan Ming, A relaxation-type Galerkin FEM for nonlinear fractional Schr?dinger equations,Numerical Algorithms, 2019, DOI:10.1007/s11075-019-00672-3.
(8) Meng Li#, Chengming Huang*, An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian, Numerical Methods for Partial Differential Equations, 2019, 35(1), 394-421.
(9) Meng Li#*, A high-order split-step finite difference method for the system of the space fractional CNLS, The European Physical Journal Plus, 2019, 134:244.
(10) Meng Li#, Chengming Huang*, Pengde Wang, Galerkin finite element method for nonlinear fractional Schr?dinger equations,Numerical Algorithms, 2017, 74(2): 499-525.
(11) Meng Li#, Chengming Huang*, Nan Wang, Galerkin finite element method for nonlinear fractional Ginzburg-Landau equation,Applied Numerical Mathematics, 2017, 118: 131-149.
(12) Meng Li#*, Chengming Huang, Fengze Jiang, Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes,Applicable Analysis,2017, 96(8): 1269-1284.
(13) Meng Li#*, Chengming Huang, Zongbiao Zhang, Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schr?dinger equation,Applicable Analysis,2018, 97(2): 295-315.
(14) Meng Li#, Chengming Huang*, Wanyuan Ming, Mixed finite element method for multi-term time-fractional diffusion and diffusion-wave equations, Computational & Applied Mathematics,2018,37(2),2309–2334.
(15) Meng Li#*, Chengming Huang, ADI Galerkin FEMs for the 2D nonlinear time-space fractional diffusion-wave equation,International Journal of Modeling, Simulation, and Scientific Computing, 2017, **.
(16) Zhang Zongbiao#, Li Meng*, Wang Zhongchi, A linearized Crank-Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation,Applicable Analysis, 2018, DOI:10.1080 /**. 2018. ** (通讯作者).
(17) Ming Wanyuan#, Huang Chengming*, Li Meng, Superconvergence in collocation methods for Volterra integral equations with vanishing delays, Journal of Computational & Applied Mathematics, 2016, 308:361-378.
(18) Zhang Guoyu#, Huang Chengming*, Li Meng, A mass-energy preserving Galerkin FEM for the coupled nonlinear fractional Schr?dinger equations, European Physical Journal Plus, 2018, 133(4):155.
Recent reports:
(1) Structure-preserving FEMs for some types of nonlinear Schr{\"o}dinger equations, 13th National Congress of the Chinese Mathematical Society, Foshan, China, 2019.11.
(2) Nonconforming virtual element method for the fourth-order time fractional reaction-subdiffusion equation with non-smooth data, International Workshop on Numerical Analysis and Applications of Fractional Differential Equations, Sanya, China, 2019.11.
(3) Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data, Chinese Annuals of Computational Mathematics, Haerbin, China, 2019.8.
(4) A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schr{\"o}dinger equations, Chinese Annuals of Computational Mathematics, Xi'an, China, 2017.7.
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