个人简介

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计算数学专业，同年赴美国Brown University应用数学系做博士后，博后合作导师是George Em Karniadakis教授。2018年8月入职福州大学数学与计算机科学学院；2019年1月获福州大学“旗山学者”海外项目资助。

主持科研项目

1. 国家自然科学青年基金 2020.01-2022.12，主持在研

2. 福建省自然科学青年基金 2021.01-2023.12，主持在研

主讲课程 微分方程数值解、谱方法

主要研究方向：分数阶微分方程数值解法、多相流模拟以及机器学习在湍流模拟中的应用

发表学术论文

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. [CiCP]

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. [CMAME, arXiv]

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

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

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. [CMWA]

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. [SISC]

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. [CMAME]

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