In t  his talk, we propose a linearized Crank–Nicolson scheme for the Landau–Lifshitz  equation describing the evolution of spin fields in continuum ferromagnets. B ased upon an error splitting technique proposed by Li and Sun (IJNAM, 2013), we obtain  optimal error estimates without any restriction of the time-step. Numerical results are provided to confirm our results.
['Rong An']
Optimal Error Estimates of Linearized Crank–Nicolson Galerkin Method for Landau–Lifshitz Equation