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math-ph2025
A novel third-order accurate and stable scheme for micromagnetic simulations
Changjian Xie
High-fidelity numerical simulation serves as a cornerstone for exploring magnetization dynamics in micromagnetics. This work introduces a novel third-order temporally accurate and…
math-ph2025
Enhancing Micromagnetics Simulations with a Third-Order Semi-Implicit Projection Method
Changjian Xie, Cheng Wang
Micromagnetics depends on high-fidelity numerical methods for magnetization dynamics. This work proposes a third-order temporal accuracy scheme for the Landau-Lifshitz-Gilbert equa…
math-ph2025
Instability of Numerical Method for Micromagnetics Simulations with Large Damping Parameters
Changjian Xie, Cheng Wang
We propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under l…