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Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters

Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters

A second‐order accurate, linear numerical method is analyzed for the Landau–Lifshitz 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 …