Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations. - Anne de Bouard; Arnaud Debussche; Laurent Di Menza (Monte Carlo Methods Appl., 2001)

Numerical resolution of stochastic focusing NLS equations. - Arnaud Debussche; Laurent Di Menza (Appl. Math. Lett., 2002)

A semi-discrete scheme for the stochastic nonlinear Schrödinger equation. - Anne de Bouard; Arnaud Debussche (Numerische Mathematik, 2004)

A Dynamical Multi-level Scheme for the Burgers Equation: Wavelet and Hierarchical Finite Element. - Arnaud Debussche; Jacques Laminie; E. Zahrouni (J. Sci. Comput., 2005)

Periodic Solutions of the Korteweg-de Vries Equation Driven by White Noise. - Anne de Bouard; Arnaud Debussche; Yoshio Tsutsumi (SIAM J. Math. Anal., 2005)

Hybrid stochastic simplifications for multiscale gene networks. - Alina Crudu; Arnaud Debussche; Ovidiu Radulescu (BMC Syst. Biol., 2009)

Weak order for the discretization of the stochastic heat equation. - Arnaud Debussche; Jacques Printems (Math. Comput., 2009)

Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation. - Arnaud Debussche; Erwan Faou (SIAM J. Numer. Anal., 2009)

Weak approximation of stochastic partial differential equations: the nonlinear case. - Arnaud Debussche (Math. Comput., 2011)

Stochastic Cahn-Hilliard Equation with Double Singular Nonlinearities and Two Reflections. - Arnaud Debussche; Ludovic Goudenège (SIAM J. Math. Anal., 2011)

Weak Backward Error Analysis for SDEs. - Arnaud Debussche; Erwan Faou (SIAM J. Numer. Anal., 2012)

A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type. - Arnaud Debussche; Sylvain de Moor; Martina Hofmanová (SIAM J. Math. Anal., 2015)

Diffusion limit for the radiative transfer equation perturbed by a Markovian process. - Arnaud Debussche; Sylvain de Moor; J. Vovelle (Asymptot. Anal., 2016)

Long Time Behavior of Gross-Pitaevskii Equation at Positive Temperature. - Anne de Bouard; Arnaud Debussche; Reika Fukuizumi (SIAM J. Math. Anal., 2018)

Push-forward method for piecewise deterministic biochemical simulations. - Guilherme C. P. Innocentini; Arran Hodgkinson; Fernando Antoneli; Arnaud Debussche; Ovidiu Radulescu (Theor. Comput. Sci., 2021)