Research Interests:
- Machine learning methods for scientific problems
- Rare events in randomly perturbed dynamical systems
- Multiphase flows, moving contact lines
Recent Publications (last updated May 2024 ):
- Duc Thach Son Vu and W. Ren, A deep learning approach for solving the stationary compositional two-phase equilibrium problems, Communications in Nonlinear Science and Numerical Simulation , (2024)
10.1016/j.cnsns.2024.107883 - Z. Li and W. Ren, Simulating capillary folding of thin elastic sheets with pinned contact lines, Journal of Computational Physics 511, 113124 (2024) 10.1016/j.jcp.2024.113124
- Z. Li and W. Ren, Relaxation dynamics of capillary folding of thin elastic sheets with pinned contact lines, Journal of Fluid Mechanics 978, A31 (2024) 10.1017/jfm.2023.1051
- P. Li, S. Gu, J. Lan, J. Chen, W. Ren and R. Du, Micromagnetics simulations and phase transitions of ferromagnetic with Dzyaloshinskii-Moriya interaction, Communications in Nonlinear Science and Numerical Simulation 126, 107512 (2023) 10.1016/j.cnsns.2023.107512
- J. Yao, Z. Zhang and W. Ren, Modelling moving contact lines on inextensible elastic sheets in two dimensions , Journal of Fluid Mechanics 955, A25 (2023) 10.1017/jfm.2022.1083
- B. Lin, Q. Li and W. Ren, Computing high-dimensional invariant distributions from noisy data , Journal of Computational Physics 474, 111783 (2023) 10.1016/j.jcp.2022.111783
- Q. Zhao, S. Xu and W. Ren, A level set method for the simulation of moving contact lines in three dimensions , Commun. Comput. Phys. 32, 1310-1331 (2022) 10.4208/cicp.OA-2022-0021
- W. Yao and W. Ren, Vapor-liquid phase transition in fluctuating hydrodynamics: The most probable transition path and its computation , Journal of Computational Physics 467, 111426 (2022) 10.1016/j.jcp.2022.111426
- B. Lin, Q. Li and W. Ren, Computing the Invariant Distribution of Randomly Perturbed Dynamical Systems Using Deep Learning , Journal of Scientific Computing 91, 77 (2022) 10.1007/s10915-022-01844-5
- B. Lin, Q. Li and W. Ren A data driven method for computing quasi potentials, Proceedings of Machine Learning Research vol 145: 1-19, 2021 2nd Annual Conference on Mathematical and Scientific Machine Learning
- Q. Zhao, W. Ren and Z. Zhang, A thermodynamically consistent model and its conservative numerical approximation for moving contact lines with soluble surfactants, Comput. Methods Appl. Mech. Engrg. 385, 114033 (2021) 10.1016/j.cma.2021.114033
- Q. Zhao and W. Ren, A finite element method for electrowetting on dielectric, J. Comput. Phys. 429, 109998 (2021) 10.1016/j.jcp.2020.109998
- Q. Du, T. Li, X. Li and W. Ren, The graph limit of the minimizer of the Onsager-Machlup functional and its computation, Science China Mathematica 64, 239-280 (2021) 10.1007/s11425-019-1650-7
- Z. Zhang, J. Yao and W. Ren, Static interface profiles for contact lines on an elastic membrane with the Willmore energy , Phys. Rev. E 102, 062803 (2020) 10.1103/PhysRevE.102.062803
- Q. Zhao and W. Ren, An energy-stable finite element method for the simulation of moving contact lines in two-phase flows, J. Comput. Phys. 417, 109582 (2020) 10.1016/j.jcp.2020.109582
- H. Cui and W. Ren, Interface Profile Near the Contact Line in Electro-Wetting on Dielectric, SIAM J. Appl. Math. 80, 402-421 (2020) 10.1137/19M1254374
- Q. Li, B. Lin and W. Ren, Computing committor functions for the study of rare events using deep learning, J. Chem. Phys. 151, 054112 (2019) 10.1063/1.5110439
- H. Cui and W. Ren, A note on the solution to the moving contact line problem with the no-slip boundary condition, Commun. Math. Sci. 17, 1167-1175 (2019) 10.4310/CMS.2019.v17.n4.a16
- Z. Zhang and W. Ren, Distinguished limits of the Navier slip model for moving contact lines in Stokes flow , SIAM J. Appl. Math. 79, 1654-1674 (2019) 10.1137/18M1190677