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math.NA2026
Finite volume element method for Landau-Lifshitz equation
Yunjie Gong, Jingrun Chen, Rui Du +1
The Landau-Lifshitz equation describes the dynamics of magnetization in ferromagnetic materials. Due to the essential nonlinearity and nonconvex constraint, it is typically solved…
math.NA2025
Equilibrium-distribution-function based mesoscopic finite-difference methods for partial differential equations: Modeling and Analysis
Baochang shi, Rui Du, Zhenhua Chai
In this paper, based on the idea of direct discrete modeling (DDM) with equilibrium distribution functions (EDFs), we develop a general framework of the mesoscopic numerical method…
math.NA2024
A Third-order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters
Yan Gui, Rui Du, Cheng Wang
A third-order accurate implicit-explicit Runge-Kutta time marching numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization…