Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation. - Christophe Besse; Brigitte Bidégaray; Stéphane Descombes (SIAM J. Numer. Anal., 2002)

Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. - Xavier Antoine; Christophe Besse; Vincent Mouysset (Math. Comput., 2004)

A Relaxation Scheme for the Nonlinear Schrödinger Equation. - Christophe Besse (SIAM J. Numer. Anal., 2004)

Instability of the Ionospheric Plasma: Modeling and Analysis. - Christophe Besse; Jean Claudel; Pierre Degond; Fabrice Deluzet; Gérard Gallice; Christian Tessieras (SIAM J. Appl. Math., 2005)

Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. - Xavier Antoine; Christophe Besse; Stéphane Descombes (SIAM J. Numer. Anal., 2006)

Numerical simulations of the ionospheric striation model in a non-uniform magnetic field. - Christophe Besse; Jean Claudel; Pierre Degond; Fabrice Deluzet; Gérard Gallice; Christian Tessieras (Comput. Phys. Commun., 2007)

Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. - Xavier Antoine; Christophe Besse; Pauline Klein (J. Comput. Phys., 2009)

Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. - Xavier Antoine; Christophe Besse; Pauline Klein (SIAM J. Sci. Comput., 2011)

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. - Xavier Antoine; Weizhu Bao; Christophe Besse (Comput. Phys. Commun., 2013)

Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations. - Christophe Besse; Fabrice Deluzet; Claudia Negulescu; Chang Yang (J. Sci. Comput., 2013)

An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. - Christophe Besse; Rémi Carles; Florian Méhats (Multiscale Model. Simul., 2013)

Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. - Xavier Antoine; Christophe Besse; Pauline Klein (Numerische Mathematik, 2013)

High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. - Xavier Antoine; Christophe Besse; Vittorio Rispoli (J. Comput. Phys., 2016)

Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. - Xavier Antoine; Christophe Besse; Romain Duboscq; Vittorio Rispoli (Comput. Phys. Commun., 2017)

Discrete transparent boundary conditions for the mixed KDV-BBM equation. - Christophe Besse; Pascal Noble; David Sanchez (J. Comput. Phys., 2017)

Domain Decomposition Algorithms for Two Dimensional Linear Schrödinger Equation. - Christophe Besse; Feng Xing (J. Sci. Comput., 2017)

Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential. - Christophe Besse; Feng Xing (Numer. Algorithms, 2017)

Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions. - Matthieu Maunoury; Christophe Besse; Vincent Mouysset; Sébastien Pernet (ICCS (1), 2018)

Well-suited and adaptive post-processing for the visualization of hp simulation results. - Matthieu Maunoury; Christophe Besse; Vincent Mouysset; Sébastien Pernet; Pol-André Haas (J. Comput. Phys., 2018)

Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation. - Christophe Besse; Benoît Mésognon-Gireau; Pascal Noble (Numerische Mathematik, 2018)

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme. - Christophe Besse; Jean-François Coulombel; Pascal Noble (CoRR, 2019)

Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs. - Christophe Besse; Romain Duboscq; Stefan Le Coz (CoRR, 2020)

Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with oblique boundary conditions. - Guillaume Bertoli; Christophe Besse; Gilles Vilmart (CoRR, 2020)

Dynamics of epidemic spreading on connected graphs. - Christophe Besse; Grégory Faye (CoRR, 2020)

Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library. - Christophe Besse; Romain Duboscq; Stefan Le Coz (CoRR, 2021)

Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions. - Guillaume Bertoli; Christophe Besse; Gilles Vilmart (Math. Comput., 2021)

High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling. - Tuan Dung Nguyen; Christophe Besse; François Rogier (J. Comput. Phys., 2022)

Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis. - Christophe Besse; Romain Duboscq; Stefan Le Coz (CoRR, 2023)

An implicit time integration approach for simulation of corona discharges. - Nguyen Tuan Dung; Christophe Besse; François Rogier (Comput. Phys. Commun., 2024)