# Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters

@article{Cai2021ConvergenceAO, title={Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters}, author={Yongyong Cai and Jingrun Chen and Cheng Wang and Changjian Xie}, journal={ArXiv}, year={2021}, volume={abs/2111.07537} }

A second order accurate, linear numerical method is analyzed for the LandauLifshitz equation with large damping parameters. This equation describes the dynamics of magnetization, with a non-convexity constraint of unit length of the magnetization. The numerical method is based on the second-order backward differentiation formula in time, combined with an implicit treatment of the linear diffusion term and explicit extrapolation for the nonlinear terms. Afterward, a projection step is applied to…

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