35 citations · 146 across the 37 of their papers we have counts for
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Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters
Yongyong Cai, Jingrun Chen, Cheng Wang +1
A second order accurate, linear numerical method is analyzed for the Landau-Lifshitz equation with large damping parameters. This equation describes the dynamics of magnetization,…
A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation
Panchi Li, Lei Yang, Jin Lan +2
Recent theoretical and experimental advances show that the inertia of magnetization emerges at sub-picoseconds and contributes to the ultrafast magnetization dynamics which cannot…
Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation
Yifei Sun, Jingrun Chen, Rui Du +1
Magnetization dynamics in magnetic materials is modeled by the Landau-Lifshitz-Gilbert (LLG) equation. In the LLG equation, the length of magnetization is conserved and the system…
A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters
Yongyong Cai, Jingrun Chen, Cheng Wang +1
A second order accurate numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with…
Roughness Index for Loss Landscapes of Neural Network Models of Partial Differential Equations
Keke Wu, Xiangru Jian, Rui Du +2
Loss landscape is a useful tool to characterize and compare neural network models. The main challenge for analysis of loss landscape for the deep neural networks is that they are g…
A Gauss-Seidel projection method with the minimal number of updates for stray field in micromagnetic simulations
Panchi Li, Zetao Ma, Rui Du +1
Magnetization dynamics in magnetic materials is often modeled by the Landau-Lifshitz equation, which is solved numerically in general. In micromagnetic simulations, the computation…