宋方应
 
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
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“旗山学者”海外项目资助。

 

  • 电子邮箱 fysong@stu.xmu.edu.cn / fangying_song@brown.edu
  • 个人英文主页 https://fangyingsong.github.io

主持科研项目

1. 国家自然科学青年基金:分数阶湍流问题的机器学习建模及谱元实现 2020.01-2022.12,主持

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. [CMAMEarXiv]

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]