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个人简介

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

研究领域

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

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

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]

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