35 citations · 146 across the 37 of their papers we have counts for
5 papers · 2 filters
IMEX-RK methods for Landau-Lifshitz equation with arbitrary damping
Yan Gui, Cheng Wang, Jingrun Chen
Magnetization dynamics in ferromagnetic materials is modeled by the Landau-Lifshitz (LL) equation, a nonlinear system of partial differential equations. Among the numerical approac…
Solving multiscale elliptic problems by sparse radial basis function neural networks
Zhiwen Wang, Minxin Chen, Jingrun Chen
Machine learning has been successfully applied to various fields of scientific computing in recent years. In this work, we propose a sparse radial basis function neural network met…
The Random Feature Method for Solving Interface Problems
Xurong Chi, Jingrun Chen, Zhouwang Yang
Interface problems have long been a major focus of scientific computing, leading to the development of various numerical methods. Traditional mesh-based methods often employ time-c…
The Random Feature Method for Time-dependent Problems
Jingrun Chen, Weinan E, Yixin Luo
We present a framework for solving time-dependent partial differential equations (PDEs) in the spirit of the random feature method. The numerical solution is constructed using a sp…
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction
Panchi Li, Shuting Gu, Jin Lan +3
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interact…