R. D. Anton and . Cohen, Exponential integrators for stochastic Schrödinger equations driven by ito noise, 2016.

R. Anton, D. Cohen, S. Larsson, and A. X. Wang, Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise, To appear in SIAM J. Numer. Anal, 2016.

R. Belaouar, A. De, A. A. Bouard, and . Debussche, Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion, Stoch. Partial Differ, Equ. Anal. Comput, vol.3, pp.103-132, 2015.

H. Berland, A. L. Islas, and A. C. Schober, Conservation of phase space properties using exponential integrators on the cubic Schr??dinger equation, Journal of Computational Physics, vol.225, issue.1, pp.284-299, 2007.
DOI : 10.1016/j.jcp.2006.11.030

H. Berland, B. Owren, and A. B. Skaflestad, Solving the nonlinear Schrödinger equation using exponential integrators, Modeling, Identification and Control, pp.201-218, 2006.
DOI : 10.4173/mic.2006.4.1

URL : http://doi.org/10.4173/mic.2006.4.1

C. Besse, G. Dujardin, and A. I. Lacroix-violet, High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates, preprint, 2015.

B. Cano and A. González-pachón, Exponential time integration of solitary waves of cubic Schrödinger equation Projected explicit Lawson methods for the integration of Schrödinger equation, Appl. Numer. Math. Numer. Methods Partial Differential Equations, vol.91, pp.26-45, 2015.

E. Celledoni, D. Cohen, and A. B. Owren, Symmetric exponential integrators with an application to the cubic Schrödinger equation, Found, Comput. Math, vol.8, pp.303-317, 2008.

D. Cohen-and-l and . Gauckler, Exponential integrators for nonlinear Schrödinger equations over long times, BIT, pp.52-877, 2012.

D. Cohen, S. Larsson, and A. M. Sigg, A Trigonometric Method for the Linear Stochastic Wave Equation, SIAM Journal on Numerical Analysis, vol.51, issue.1, pp.204-222, 2013.
DOI : 10.1137/12087030X

D. Cohen-and and L. Quer-sardanyons, A fully discrete approximation of the onedimensional stochastic wave equation, IMA J NUMER ANAL, vol.36, pp.400-420, 2016.

A. De, A. A. Bouard, and . Debussche, The nonlinear Schrödinger equation with white noise dispersion, J. Funct. Anal, vol.259, pp.1300-1321, 2010.

A. Debussche and Y. Tsutsumi, 1D quintic nonlinear Schrödinger equation with white noise dispersion, J. Math. Pures Appl, issue.9, pp.96-363, 2011.
DOI : 10.1016/j.matpur.2011.02.002

URL : http://arxiv.org/abs/1010.4011

R. Duboscq, Analyse et simulations numériques d'équations de Schrödinger déterministes et stochastiques. Applications aux condensats de Bose-Einstein en rotation, 2013.

G. Dujardin, Exponential Runge???Kutta methods for the Schr??dinger equation, Applied Numerical Mathematics, vol.59, issue.8, pp.1839-1857, 2009.
DOI : 10.1016/j.apnum.2009.02.002

J. Garnier, Stabilization of dispersion-managed solitons in random optical fibers by strong dispersion management, Optics Communications, vol.206, issue.4-6, pp.411-438, 2002.
DOI : 10.1016/S0030-4018(02)01404-9

M. Gazeau, Probability and Pathwise Order of Convergence of a Semidiscrete Scheme for the Stochastic Manakov Equation, SIAM Journal on Numerical Analysis, vol.52, issue.1, pp.533-553, 2014.
DOI : 10.1137/13090924X

E. Hairer, C. Lubich, and A. G. Wanner, Geometric numerical integration Structure-preserving algorithms for ordinary differential equations, 2006.

M. Hochbruck and C. Lubich, Exponential integrators for quantum-classical molecular dynamics, BIT, pp.39-620, 1999.

M. A. Hochbruck and . Ostermann, Exponential integrators, Acta Numerica, vol.19, pp.209-286, 2010.
DOI : 10.1017/S0962492910000048

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.6794

A. Jentzen and P. E. Kloeden, The Numerical Approximation of Stochastic Partial Differential Equations, Milan Journal of Mathematics, vol.155, issue.no. 2, pp.205-244, 2009.
DOI : 10.1007/s00032-009-0100-0

G. J. Lord and . Rougemont, A numerical scheme for stochastic PDEs with Gevrey regularity, IMA Journal of Numerical Analysis, vol.24, issue.4, pp.587-604, 2004.
DOI : 10.1093/imanum/24.4.587

G. J. Lord and . Tambue, Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise, IMA Journal of Numerical Analysis, vol.33, issue.2, pp.515-543, 2013.
DOI : 10.1093/imanum/drr059

R. Marty, On a splitting scheme for the nonlinear Schr??dinger equation in a random medium, Communications in Mathematical Sciences, vol.4, issue.4, pp.679-705, 2006.
DOI : 10.4310/CMS.2006.v4.n4.a1

X. Wang, An Exponential Integrator Scheme for Time Discretization of Nonlinear Stochastic Wave Equation, Journal of Scientific Computing, vol.398, issue.2102, pp.1-30, 2014.
DOI : 10.1007/s10915-014-9931-0