科研和教改项目： (1) 湖南省教育厅科学研究一般项目：分数阶 Ginzburg-Landau 方程的快速谱方法研究，项目编号：19C0181，2020.1-2022.12, 1万元，主持 (2) 湖南省教育厅科学研究优秀青年项目,项目名称： 几类随机波动模型的高效数值算法, 项目编号：19B064，2020.1-2022.12, 4万元，参与 (3) 国家自然科学基金中俄合作交流项目，项目名称：分数阶偏微分方程的高效数值算法，项目编号：1191101330，2020.1-2021.12，14万元，参与 (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，项目编号： 11771163，2018.1-2021.12，48万，参加 |
代表性论文： (1）Mingfa Fei, Nan Wang*, Chengming Huang, Xiaohua Ma, A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation. Appl. Numer. Math., 2020, 153: 399-411. (2) Mingfa Fei, Chengming Huang, Pengde Wang*. Error estimates of structure-preserving Fourier pseudospectral methods for the fractional Schrodinger equation. Numer. Methods Partial Differential Equations, 2020, 36: 369–393. (3) Nan Wang, Mingfa Fei*, Chengming Huang, Guoyu Zhang, Meng Li, Dissipation-preserving Galerkin–Legendre spectral methods for two-dimensional fractional nonlinear wave equations. Comput. Math. Appl., 2020, 80(5):617-635. (4) Mingfa Fei, Chengming Huang*, Nan Wang, Guoyu Zhang, Galerkin-Legendre spectral method for the nonlinear Ginzburg-Landau equation with the Riesz fractional derivative, Math. Methods Appl. Sci., 2019, http://dx. doi. org/10. 1002 /mma.5852. (5) Mingfa Fei, Chengming Huang*. Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. Int. J. Comput. Math., 2020, 97(6): 1183-1196. (6) Meng Li, Mingfa Fei, Nan Wang, Chengming Huang*, A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains. Math. Comput. Simulat., 2020, https://doi. org/10.1016/j.matcom.2020.05. 005. (7) Meng Li, Xianming Gu*, Chengming Huang, Mingfa Fei, Guoyu Zhang, A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations. J. Comput. Phys., 2018, 358(1): 256-282. |
