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math.NA2025
Convergence analysis of a third order semi-implicit projection method for Landau-Lifshitz-Gilbert equation
Changjian Xie, Cheng Wang
The convergence analysis of a third-order scheme for the highly nonlinear Landau-Lifshitz-Gilbert equation with a non-convex constraint is considered. In this paper, we first prese…
math.NA2025
Efficient And Stable Third-order Method for Micromagnetics Simulations
Changjian Xie, Cheng Wang
To address the magnetization dynamics in ferromagnetic materials described by the Landau-Lifshitz-Gilbert equation under large damping parameters, a third-order accurate numerical…
math.NA2025
Error Analysis of Third-Order in Time and Fourth-Order Linear Finite Difference Scheme for Landau-Lifshitz-Gilbert Equation under Large Damping Parameters
Changjian Xie, Cheng Wang
This work proposes and analyzes a fully discrete numerical scheme for solving the Landau-Lifshitz-Gilbert (LLG) equation, which achieves fourth-order spatial accuracy and third-ord…