18 citations · 27 across the 3 of their papers we have counts for
3 papers
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…
math.PR2008★ 6 cited
Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise
Anne De Bouard, Eric Gautier
We consider two exit problems for the Korteweg-de Vries equation perturbed by an additive white in time and colored in space noise of amplitude a. The initial datum gives rise to a…