35 citations · 146 across the 37 of their papers we have counts for
7 papers · 1 filter
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…
Continuum Limit of Spin Dynamics on Hexagonal Lattice
Mengjia Bai, Jingrun Chen, Zhiwei Sun +1
This study investigates the atomistic spin system in , which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We ana…
Exploring the Optimal Choice for Generative Processes in Diffusion Models: Ordinary vs Stochastic Differential Equations
Yu Cao, Jingrun Chen, Yixin Luo +1
The diffusion model has shown remarkable success in computer vision, but it remains unclear whether the ODE-based probability flow or the SDE-based diffusion model is more superior…
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…