Fangying Song

A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations

Fangying Song, Chuanju Xu, George Em Karniadakis · Computer Methods in Applied Mechanics and Engineering · 2016 · 100 citations

Numerical Analysis, Fractional Phase-field Model, Engineering +11

A probability density function generator based on neural networks

Chi‐Hua Chen, Fangying Song, Feng-Jang Hwang et al. · Physica A Statistical Mechanics and its Applications · 2019 · 95 citations · Full text

Evolving Neural Network, Engineering, Machine Learning +4

What Is the Fractional Laplacian?

Anna Lischke, Guofei Pang, Mamikon Gulian et al. · arXiv (Cornell University) · 2018 · 66 citations · Full text

Numerical Analysis, Fractional Laplacian, Boundary Conditions +8

Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations

Fangying Song, Chuanju Xu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2017 · 55 citations

Numerical Analysis, Numerical Method For Partial Differential Equation, Linear Systems +15

Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network.

Pavan Pranjivan Mehta, Guofei Pang, Fangying Song et al. · Fractional Calculus and Applied Analysis · 2019 · 51 citations

Numerical Analysis, Physics-informed Neural Network, Engineering +8