A hybrid FEM-PINN method for time-dependent partial differential equations
Feng X, Shangguan H, Tang T, et al. A hybrid FEM-PINN method for time-dependent partial differential equations[J]. arXiv preprint arXiv:2409.02810, 2024.
Publications
MC-Nonlocal-PINNs: handling nonlocal operators in PINNs via Monte Carlo sampling
Feng X, Qian Y, Shen W. MC-Nonlocal-PINNs: handling nonlocal operators in PINNs via Monte Carlo sampling[J]. arXiv preprint arXiv:2212.12984, 2022.
Gradient-enhanced deep neural network approximations
Feng X, Zeng L. Gradient-enhanced deep neural network approximations[J]. Journal of Machine Learning for Modeling and Computing, 2022, 3(4).
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow
Feng X, Zeng L, Zhou T. Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow[J]. Communications in Computational Physics, 2022, 32(2): 401-423.
* Equal authorship