Arnaud Debussche

According to our database, Arnaud Debussche authored at least 16 papers between 2001 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

Preconditioning for the high-order sampling of the invariant distribution of parabolic semilinear SPDEs.

Charles-Edouard Bréhier, Adrien Busnot Laurent, Arnaud Debussche, Gilles Vilmart

CoRR, December, 2025

2021

Push-forward method for piecewise deterministic biochemical simulations.

Guilherme C. P. Innocentini, Arran Hodgkinson, Fernando Antoneli, Arnaud Debussche, Ovidiu Radulescu

Theor. Comput. Sci., 2021

2018

Long Time Behavior of Gross-Pitaevskii Equation at Positive Temperature.

Anne de Bouard, Arnaud Debussche, Reika Fukuizumi

SIAM J. Math. Anal., 2018

2016

Diffusion limit for the radiative transfer equation perturbed by a Markovian process.

Arnaud Debussche, Sylvain de Moor, J. Vovelle

Asymptot. Anal., 2016

2015

A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type.

Arnaud Debussche, Sylvain de Moor, Martina Hofmanová

SIAM J. Math. Anal., 2015

2012

Weak Backward Error Analysis for SDEs.

Arnaud Debussche, Erwan Faou

SIAM J. Numer. Anal., 2012

2011

Stochastic Cahn-Hilliard Equation with Double Singular Nonlinearities and Two Reflections.

Arnaud Debussche, Ludovic Goudenège

SIAM J. Math. Anal., 2011

Weak approximation of stochastic partial differential equations: the nonlinear case.

Arnaud Debussche

Math. Comput., 2011

2009

Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation.

Arnaud Debussche, Erwan Faou

SIAM J. Numer. Anal., 2009

Weak order for the discretization of the stochastic heat equation.

Arnaud Debussche, Jacques Printems

Math. Comput., 2009

Hybrid stochastic simplifications for multiscale gene networks.

Alina Crudu, Arnaud Debussche, Ovidiu Radulescu

BMC Syst. Biol., 2009

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

A Dynamical Multi-level Scheme for the Burgers Equation: Wavelet and Hierarchical Finite Element.

Arnaud Debussche, Jacques Laminie, E. Zahrouni

J. Sci. Comput., 2005

2004

A semi-discrete scheme for the stochastic nonlinear Schrödinger equation.

Anne de Bouard, Arnaud Debussche

Numerische Mathematik, 2004

2002

Numerical resolution of stochastic focusing NLS equations.

Arnaud Debussche, Laurent Di Menza

Appl. Math. Lett., 2002

2001

Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations.

Anne de Bouard, Arnaud Debussche, Laurent Di Menza

Monte Carlo Methods Appl., 2001