基本信息
职称 ******
职务 硕士生导师
主讲课程 微分方程数值解、谱方法
研究方向 应用数学、计算流体力学、神经网络深度学习、湍流建模、分数阶微分方程
办公室 数计学院4#212
电子邮件
联系电话

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。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。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****”海外项目资助。
电子邮箱 fysong@stu.xmu.edu.cn / fangying_song@brown.edu
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
发表学术论文
Xiaoling Liu,Fangying Songand Chuanju Xu. An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows.Communications in Computaional Physics25, 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 Engineering347, (2019): 1030-1049. [CMAME,arXiv]
Fangying Songand George Em Karniadakis. Fractional magneto-hydrodynamics: Algorithms and applications.Journal of Computational Physics378 (2019): 44-62. [JCP]
Fangying Songand George Em Karniadakis. Fractional spectral vanishing viscosity method: Application to the quasi-geostrophic equation.Chaos, Solitons & Fractals102 (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 Applications73, 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 Computing39, 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 Engineering305 (2016): 376-404. [CMAME]
Fangying Songand Chuanju Xu. Spectral direction splitting methods for two-dimensional space fractional diffusion equations.Journal of Computational Physics299 (2015): 196-214. [JCP]