2 papers
math.AP2024
From Stochastic Zakharov System to Multiplicative Stochastic Nonlinear Schr{ö}dinger Equation
Grégoire Barrué, Anne de Bouard, Arnaud Debussche
We study the convergence of a Zakharov system driven by a time white noise, colored in space, to a multiplicative stochastic nonlinear Schr{ö}dinger equation, as the ion-sound spee…
math.NA2009
Modified energy for split-step methods applied to the linear Schrödinger equation
Arnaud Debussche, Erwan Faou
We consider the linear Schrödinger equation and its discretization by split-step methods where the part corresponding to the Laplace operator is approximated by the midpoint rule.…