• 宋方应

  • 职称:

    研究员

  • 职务:

    硕士生导师

  • 主讲课程:

    微分方程数值解、谱方法、数学分析

  • 研究方向:

    应用数学、计算流体力学、神经网络深度学习应用于湍流建模、分数阶微分方程等

  • 办公室:

    数计学院4#227

  • 电子邮件:

    fysong@stu.xmu.edu.cn

宋方应,男,博士,研究员、硕士生导师。2014年毕业于厦门大学数学科学学院,专业计算数学。

电子邮箱 fysong@stu.xmu.edu.cn / fangying_song@fzu.edu.cn

工作经历:

2019.06--                福州大学 研究员

2019.02--2019.07 美国布朗大学 高级研究助理

2018.08--2019.06 福州大学 讲师

2014.07--2018.06 美国布朗大学 博士后

主持科研项目:

1. 国家自然科学青年基金 2020.01-2022.12,已结题

2. 福建省自然科学青年基金 2021.01-2023.12,已结题

发表论文:

12. Fangying Song, George Em Karniadakis. Variable-Order Fractional Models for Wall-Bounded Turbulent Flows. Entropy (2021), 23, 782. https:// doi.org/10.3390/e23060782

11. Fangying Song, Jun Zhang, Jinrong Wang. Convergence analysis and error estimate of second-order implicit–explicit scheme for Gray-Scott model. International Journal of Computer Mathematics,  (2021) 1-11

10. Qi Li, Fangying Song. Splitting spectral element method for fractional reaction-diffusion equations. J. Algorithms Comput. Technol. 14 (2020), 10 pp.

9. Xianjuan Li, Zhiping Mao, Nan Wang, Fangying Song, Hong Wang, George Em Karniadakis. A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation. Comput. Methods Appl. Mech. Engrg. 366 (2020), 113053, 25 pp.

8. Xiaoling Liu, Fangying Song and Chuanju Xu. An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows. Communications in Computaional Physics 25, no. (2019): 1071-1096.

7. Tingting Wang, Fangying Song, Hong Wang and George Em Karniadakis. Fractional Gray–Scott model: Well-posedness, discretization, and simulations. Computer Methods in Applied Mechanics and Engineering 347, (2019): 1030-1049.

6. Fangying Song and George Em Karniadakis. Fractional magneto-hydrodynamics: Algorithms and applications. Journal of Computational Physics378 (2019): 44-62.

5. Fangying Song and George Em Karniadakis. Fractional spectral vanishing viscosity method: Application to the quasi-geostrophic equation. Chaos, Solitons & Fractals 102 (2017): 327-332.

4. Fangying Song, Fanhai Zeng, Wei Cai, Wen Chen and George Em Karniadakis. Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Computers & Mathematics with Applications 73, no. 6 (2017): 1286-1297.

3. Fangying Song, Chuanju Xu and George Em Karniadakis. Computing fractional Laplacians on complex-geometry domains: algorithms and simulations. SIAM Journal on Scientific Computing 39, no. 4 (2017): A1320-A1344.

2. Fangying Song, Chuanju Xu and George Em Karniadakis. A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations. Computer Methods in Applied Mechanics and Engineering 305 (2016): 376-404.

1. Fangying Song and Chuanju Xu. Spectral direction splitting methods for two-dimensional space fractional diffusion equations.  Journal of Computational Physics 299 (2015): 196-214.