[PDF][PDF] Towards preserving geometric properties of Landau-Lifshitz-Gilbert equation using multistep methods

J Zhan, L Yang, R Du, Z Cui - Commun. Comput. Phys, 2024 - global-sci.com
In this paper, we investigate two fundamental geometric properties of the Landau-Lifshitz-
Gilbert (LLG) equation, namely the preservation of magnetization magnitude and the …

A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters

Y Gui, R Du, C Wang - arXiv preprint arXiv:2407.05253, 2024 - arxiv.org
A third-order accurate implicit-explicit Runge-Kutta time marching numerical scheme is
proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models …

[HTML][HTML] Midpoint geometric integrators for inertial magnetization dynamics

M d'Aquino, S Perna, C Serpico - Journal of Computational Physics, 2024 - Elsevier
We consider the numerical solution of the inertial version of Landau-Lifshitz-Gilbert equation
(iLLG), which describes high-frequency nutation on top of magnetization precession due to …

Temporal High-Order Accurate Numerical Scheme for the Landau–Lifshitz–Gilbert Equation

J He, L Yang, J Zhan - Mathematics, 2024 - mdpi.com
In this paper, a family of temporal high-order accurate numerical schemes for the Landau–
Lifshitz–Gilbert (LLG) equation is proposed. The proposed schemes are developed utilizing …

Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii–Moriya interaction

P Li, S Gu, J Lan, J Chen, W Ren, R Du - Communications in Nonlinear …, 2023 - Elsevier
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral
magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii–Moriya …

Convergence Analysis of an Implicit Finite Difference Method for the Inertial Landau–Lifshitz–Gilbert Equation

J Chen, P Li, C Wang - Journal of Scientific Computing, 2024 - Springer
Abstract The Landau–Lifshitz–Gilbert (LLG) equation is widely used to model the fast
magnetization dynamics of ferromagnets. Recent experimental observations have revealed …