90 citations · 370 across the 42 of their papers we have counts for
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math.AP2011★ 9 cited
Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
Erwan Faou, Ludwig Gauckler, Christian Lubich
It is shown that plane wave solutions to the cubic nonlinear Schrödinger equation on a torus behave orbitally stable under generic perturbations of the initial data that are small…
math.NA2011★ 1 cited
Weak backward error analysis for SDEs
Arnaud Debussche, Erwan Faou
We consider numerical approximations of stochastic differential equations by the Euler method. In the case where the SDE is elliptic or hypoelliptic, we show a weak backward error…