90 citations · 370 across the 42 of their papers we have counts for
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math.NA2018★ 1 cited
Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times
Joackim Bernier, Erwan Faou
We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, nea…
math.NA2018★ 9 cited
Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit
Nathalie Ayi, Erwan Faou
We present an asymptotic preserving scheme based on a micro-macro decomposition for stochastic linear transport equations in kinetic and diffusive regimes. We perfom a mathematical…