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math.AP2014★ 3 cited
A semi-discrete scheme for the stochastic Landau-Lifshitz equation
François Alouges, Anne De Bouard, Antoine Hocquet
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…
math.AP2011★ 18 cited
A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers
A. de Bouard, M. Gazeau
In this article we propose a generalization of the theory of diffusion approximation for random ODE to a nonlinear system of random Schrödinger equations. This system arises in the…