[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 …
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 …
proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models …
[HTML][HTML] Midpoint geometric integrators for inertial magnetization dynamics
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 …
(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 …
Lifshitz–Gilbert (LLG) equation is proposed. The proposed schemes are developed utilizing …
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii–Moriya interaction
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral
magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii–Moriya …
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
Abstract The Landau–Lifshitz–Gilbert (LLG) equation is widely used to model the fast
magnetization dynamics of ferromagnets. Recent experimental observations have revealed …
magnetization dynamics of ferromagnets. Recent experimental observations have revealed …