Xu, W., Lu, Y. and Wang, L. Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations. The 37th AAAI conference on Artificial Intelligence (2023). Link., Code.
Lu, Y., Wang, L. and Xu, W. Solving multiscale steady radiative transfer equation using neural networks with uniform stability. Res Math Sci 9, 45 (2022). Link., Code.
Xu, W. and Wang, L. An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit. Comm Math Sci, 23, 1-23, (2023). Link., Code.
Carrillo, J., Wang, L., Xu, W. and Yan, M. Variational asymptotic preserving scheme for the Vlasov–Poisson–Fokker–Planck system, Multiscale Modeling & Simulation 19(1), 478–505. Link. Code.
Carrillo, J., Shu, R., Wang, L. and Xu, W. To blow-up or not to blow-up for a granular kinetic equation, Physica D: Nonlinear Phenomena, 470, 134410 (2024). Link., [Code will be available soon]
Lu, Y. and Xu, W. Generative downscaling of PDE solvers with physics-guided diffusion models, Journal of Scientific Computing, 101(3), 71 (2024). Link., Code.