刘欢

姓名:刘欢(Huan Liu)

职称:助理研究员

研究领域:偏微分方程数值解,科学与工程计算

电话:021-65902361

地址:上海市杨浦区国定路777号上海财经大学红瓦楼906

Emailliuhuan@sufe.edu.cn


工作经历

2022/01-至今   上海财经大学数学学院 助理研究员

2020/02-2022/01复旦大学数学科学学院 博士后


教育经历

2014/09-2019/12 山东大学,计算数学,博士

2010/09-2014/06 中南大学,数学与应用数学,学士


学术交流

2017/11-2018/11 University of South Carolina, Columbia, USA, 联合培养博士研究生


科研项目

2021/12-2026/12 国家重点研发计划重点专项,参与

2020/01-2023/12 国家自然科学基金面上项目,参与

2021/06-2022/01 中国博士后科学基金特别资助项目(站中),主持

2020/11-2022/01 中国博士后科学基金面上资助项目,主持


科研奖励

2021/11,“郭本瑜青年学者优秀论文奖”二等奖

2020/11,上海市“超级博士后”激励计划


代表性科研成果

 本人研究方向为偏微分方程数值解法,主要科研成果如下:

[1] Huan Liu, Xiangcheng Zheng, and Hongfei Fu, Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation, Journal of Computational Mathematics, 40(5) (2022), 818-838.

[2] Huan Liu, Xiangcheng Zheng, Hong Wang, and Hongfei Fu, Error estimate of finite element approximation for two-sided space-fractional evolution equation with variable coefficient, Journal of Scientific Computing, 90 (2022), 15.

[3] Huan Liu, Xiangcheng Zheng, Chuanjun Chen, and Hong Wang, A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model, Advances in Computational Mathematics, 47 (2021), 41.

[4] Huan Liu, Xiangcheng Zheng, Hongfei Fu, and Hong Wang, Analysis and efficient implementation of alternating direction implicit finite volume method for Riesz space-fractional diffusion equations in two space dimensions, Numerical Methods for Partial Differential Equations, 37(1) (2021), 818-835.

[5] Xiangcheng Zheng, Huan Liu, Hong Wang, and Hongfei Fu, Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection reaction diffusion equations in three space dimensions, Applied Numerical Mathematics, 161 (2021), 1-12.

[6] Huan Liu, Aijie Cheng, and Hong Wang, A parareal finite volume method for variable-order time-fractional diffusion equations, Journal of Scientific Computing, 85(1) (2020), 1-27.

[7] Huan Liu, Aijie Cheng, and Hong Wang, A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation, Journal of Computational and Applied Mathematics, 368 (2020), 112482.

[8] Chuanjun Chen, Huan Liu, Xiangcheng Zheng, and Hong Wang, A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations, Computers & Mathematics with Applications, 79 (2020), 2771-2783.

[9] Hongfei Fu, Huan Liu, and Hong Wang, A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation, Journal of Computational Physics, 388 (2019), 316-334.

[10] Xiangcheng Zheng, Huan Liu, Hongfei Fu, and Hong Wang, An efficient finite volume method for the nonlinear distributed-order space-fractional diffusion equations in three space dimensions, Journal of Scientific Computing, 80 (2019), 1395-1418.

[11] Huan Liu, Aijie Cheng, and Hong Wang, A fast discontinuous Galerkin method for a bond-based linear peridynamic model discretized on a locally refined composite mesh, Journal of Scientific Computing, 76(2) (2018), 913-942.

[12] Huan Liu, Aijie Cheng, Hong Wang, and Jia Zhao, Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation, Computers & Mathematics with Applications, 76(8) (2018), 1876-1892.