Publication list
- 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 Physics 378 (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]