Christophe Besse

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 17

Top Topics

Numerical Methods

Eikonal Equation

Hamilton Jacobi

Spline Interpolation

Top Venues

J. Comput. Phys.

Comput. Phys. Commun.

Numerische Mathematik

Publications

Nguyen Tuan Dung, Christophe Besse, François Rogier
An implicit time integration approach for simulation of corona discharges. Comput. Phys. Commun. 294 (2024)
Christophe Besse, Romain Duboscq, Stefan Le Coz
Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis. CoRR (2023)
Tuan Dung Nguyen, Christophe Besse, François Rogier
High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling. J. Comput. Phys. 461 (2022)
Christophe Besse, Romain Duboscq, Stefan Le Coz
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library. CoRR (2021)
Guillaume Bertoli, Christophe Besse, Gilles Vilmart
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions. Math. Comput. 90 (332) (2021)
Christophe Besse, Romain Duboscq, Stefan Le Coz
Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs. CoRR (2020)
Guillaume Bertoli, Christophe Besse, Gilles Vilmart
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with oblique boundary conditions. CoRR (2020)
Christophe Besse, Grégory Faye
Dynamics of epidemic spreading on connected graphs. CoRR (2020)
Christophe Besse, Jean-François Coulombel, Pascal Noble
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme. CoRR (2019)
Matthieu Maunoury, Christophe Besse, Vincent Mouysset, Sébastien Pernet
Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions. ICCS (1) (2018)
Matthieu Maunoury, Christophe Besse, Vincent Mouysset, Sébastien Pernet, Pol-André Haas
simulation results. J. Comput. Phys. 375 (2018)
Christophe Besse, Benoît Mésognon-Gireau, Pascal Noble
Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation. Numerische Mathematik 139 (2) (2018)
Christophe Besse, Pascal Noble, David Sanchez
Discrete transparent boundary conditions for the mixed KDV-BBM equation. J. Comput. Phys. 345 (2017)
Christophe Besse, Feng Xing
Domain Decomposition Algorithms for Two Dimensional Linear Schrödinger Equation. J. Sci. Comput. 72 (2) (2017)
Xavier Antoine, Christophe Besse, Romain Duboscq, Vittorio Rispoli
Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Comput. Phys. Commun. 219 (2017)
Christophe Besse, Feng Xing
Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential. Numer. Algorithms 74 (2) (2017)
Xavier Antoine, Christophe Besse, Vittorio Rispoli
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. 327 (2016)
Xavier Antoine, Weizhu Bao, Christophe Besse
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Comput. Phys. Commun. 184 (12) (2013)
Christophe Besse, Fabrice Deluzet, Claudia Negulescu, Chang Yang
Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations. J. Sci. Comput. 55 (1) (2013)
Christophe Besse, Rémi Carles, Florian Méhats
An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. Multiscale Model. Simul. 11 (4) (2013)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Numerische Mathematik 125 (2) (2013)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. 33 (2) (2011)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. J. Comput. Phys. 228 (2) (2009)
Christophe Besse, Jean Claudel, Pierre Degond, Fabrice Deluzet, Gérard Gallice, Christian Tessieras
Numerical simulations of the ionospheric striation model in a non-uniform magnetic field. Comput. Phys. Commun. 176 (2) (2007)
Xavier Antoine, Christophe Besse, Stéphane Descombes
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal. 43 (6) (2006)
Christophe Besse, Jean Claudel, Pierre Degond, Fabrice Deluzet, Gérard Gallice, Christian Tessieras
Instability of the Ionospheric Plasma: Modeling and Analysis. SIAM J. Appl. Math. 65 (6) (2005)
Christophe Besse
A Relaxation Scheme for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 42 (3) (2004)
Xavier Antoine, Christophe Besse, Vincent Mouysset
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Math. Comput. 73 (248) (2004)
Christophe Besse, Brigitte Bidégaray, Stéphane Descombes
Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 40 (1) (2002)