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ORCIDChristophe Besse
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Journal Articles
- 2024
[j22]Nguyen Tuan Dung
, Christophe Besse, François Rogier:
An implicit time integration approach for simulation of corona discharges. Comput. Phys. Commun. 294: 108906 (2024)- 2022
- [j21]Tuan Dung Nguyen, Christophe Besse, François Rogier:
High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling. J. Comput. Phys. 461: 111196 (2022) - 2021
- [j20]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): 2705-2729 (2021) - 2018
- [j19]Matthieu Maunoury, Christophe Besse, Vincent Mouysset, Sébastien Pernet, Pol-André Haas:
Well-suited and adaptive post-processing for the visualization of hp simulation results. J. Comput. Phys. 375: 1179-1204 (2018) - [j18]Christophe Besse, Benoît Mésognon-Gireau, Pascal Noble:
Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation. Numerische Mathematik 139(2): 281-314 (2018) - 2017
- [j17]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: 70-78 (2017) - [j16]Christophe Besse, Pascal Noble, David Sanchez:
Discrete transparent boundary conditions for the mixed KDV-BBM equation. J. Comput. Phys. 345: 484-509 (2017) - [j15]Christophe Besse, Feng Xing:
Domain Decomposition Algorithms for Two Dimensional Linear Schrödinger Equation. J. Sci. Comput. 72(2): 735-760 (2017) - [j14]Christophe Besse, Feng Xing:
Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential. Numer. Algorithms 74(2): 393-426 (2017) - 2016
- [j13]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: 252-269 (2016) - 2013
- [j12]Xavier Antoine, Weizhu Bao, Christophe Besse:
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Comput. Phys. Commun. 184(12): 2621-2633 (2013) - [j11]Christophe Besse, Fabrice Deluzet, Claudia Negulescu, Chang Yang:
Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations. J. Sci. Comput. 55(1): 231-254 (2013) - [j10]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): 1228-1260 (2013) - [j9]Xavier Antoine, Christophe Besse, Pauline Klein:
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Numerische Mathematik 125(2): 191-223 (2013) - 2011
- [j8]Xavier Antoine, Christophe Besse, Pauline Klein:
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. 33(2): 1008-1033 (2011) - 2009
- [j7]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): 312-335 (2009) - 2007
- [j6]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): 75-90 (2007) - 2006
- [j5]Xavier Antoine, Christophe Besse, Stéphane Descombes:
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal. 43(6): 2272-2293 (2006) - 2005
- [j4]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): 2178-2198 (2005) - 2004
- [j3]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): 1779-1799 (2004) - [j2]Christophe Besse:
A Relaxation Scheme for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 42(3): 934-952 (2004) - 2002
- [j1]Christophe Besse, Brigitte Bidégaray, Stéphane Descombes:
Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 40(1): 26-40 (2002)
Conference and Workshop Papers
- 2018
- [c1]Matthieu Maunoury, Christophe Besse, Vincent Mouysset, Sébastien Pernet:
Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions. ICCS (1) 2018: 708-721
Informal and Other Publications
- 2023
- [i6]Christophe Besse, Romain Duboscq, Stefan Le Coz:
Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis. CoRR abs/2307.02158 (2023) - 2021
- [i5]Christophe Besse, Romain Duboscq, Stefan Le Coz:
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library. CoRR abs/2103.09650 (2021) - 2020
- [i4]Christophe Besse, Romain Duboscq, Stefan Le Coz:
Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs. CoRR abs/2006.04404 (2020) - [i3]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 abs/2011.05178 (2020) - [i2]Christophe Besse, Grégory Faye:
Dynamics of epidemic spreading on connected graphs. CoRR abs/2011.11996 (2020) - 2019
- [i1]Christophe Besse, Jean-François Coulombel, Pascal Noble:
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme. CoRR abs/1909.04895 (2019)
Coauthor Index
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