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math.NA2022
Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation
Jingrun Chen, Panchi Li, Cheng Wang
The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an…
math.NA2022★ 8 cited
Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method
Jingrun Chen, Xurong Chi, Weinan E +1
One of the oldest and most studied subject in scientific computing is algorithms for solving partial differential equations (PDEs). A long list of numerical methods have been propo…
math.AP2022★ 1 cited
Homogenization of the Landau-Lifshitz-Gilbert equation with natural boundary condition
Jingrun Chen, Jian-Guo Liu, Zhiwei Sun
The full Landau-Lifshitz-Gilbert equation with periodic material coefficients and natural boundary condition is employed to model the magnetization dynamics in composite ferromagne…