A semi-discrete scheme for the stochastic Landau-Lifshitz equation

preprint2014arXivOpen access

Abstract

We propose a new convergent time semi-discrete scheme for the stochastic Landau-Lifshitz-Gilbert equation. The scheme is only linearly implicit and does not require the resolution of a nonlinear problem at each time step. Using a martingale approach, we prove the convergence in law of the scheme up to a subsequence.

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