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Christophe Besse

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An implicit time integration approach for simulation of corona discharges

Nguyen Tuan Dung , Christophe Besse , François Rogier
Computer Physics Communications, 2024, 294, pp.108906. ⟨10.1016/j.cpc.2023.108906⟩
Journal articles hal-04102798v1
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The logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$

Christophe Besse , Grégory Faye , Jean-Michel Roquejoffre , Mingmin Zhang
Transactions of the American Mathematical Society, In press
Journal articles hal-03690078v2
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Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library

Christophe Besse , Romain Duboscq , Stefan Le Coz
SMAI Journal of Computational Mathematics, 2022, 8, pp.1-47
Journal articles hal-03164639v1
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Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs

Christophe Besse , Romain Duboscq , Stefan Le Coz
Annales Henri Lebesgue, 2022, 5, pp.387-428
Journal articles hal-02798328v3
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High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling

Tuan Dung Nguyen , Christophe Besse , François Rogier
Journal of Computational Physics, 2022, 461
Journal articles hal-03352814v1

Perfectly Matched Layers Methods for Mixed Hyperbolic–Dispersive Equations

Christophe Besse , Sergey Gavrilyuk , Maria Kazakova , Pascal Noble
Journal articles hal-03834384v1
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Asymptotic behavior of nonlocal bistable reaction-diffusion equations

Christophe Besse , Alexandre Capel , Grégory Faye , Guilhem Fouilhé
Discrete and Continuous Dynamical Systems - Series B, 2022
Journal articles hal-03528365v1
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Discrete transparent boundary conditions for the two-dimensional leap-frog scheme

Christophe Besse , Jean-François Coulombel , Pascal Noble
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55, pp.S535-S571
Journal articles hal-02280886v1
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Energy preserving methods for nonlinear Schrödinger equations

Christophe Besse , Stephane Descombes , Guillaume Dujardin , Ingrid Lacroix-Violet
IMA Journal of Numerical Analysis, 2021, 41 (1), pp.618-653. ⟨10.1093/imanum/drz067⟩
Journal articles hal-01951527v1
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Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation

Christophe Besse , Jean-François Coulombel , Pascal Noble
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55, pp.S535-S571. ⟨10.1051/m2an/2020052⟩
Journal articles hal-03154036v1
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Dynamics of epidemic spreading on connected graphs

Christophe Besse , Grégory Faye
Journal of Mathematical Biology, 2021, 82 (6), pp.52. ⟨10.1007/s00285-021-01602-5⟩
Journal articles hal-03019230v1
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Spreading properties for SIR models on homogeneous trees

Christophe Besse , Grégory Faye
Bulletin of Mathematical Biology, 2021
Journal articles hal-03251359v1
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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
Mathematics of Computation, 2021, 90 (332), pp.2705-2729
Journal articles hal-02992821v2
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A conservation law with spatially localized sublinear damping

Christophe Besse , Rémi Carles , Sylvain Ervedoza
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, 37 (1), pp.13-50. ⟨10.1016/j.anihpc.2019.03.002⟩
Journal articles hal-01741189v2
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Well-suited and adaptive post-processing for the visualization of hp simulation results

Matthieu Maunoury , Christophe Besse , Vincent Mouysset , Sébastien Pernet , Pol-André Haas
Journal of Computational Physics, 2018, 375, pp.1179-1204. ⟨10.1016/j.jcp.2018.09.017⟩
Journal articles hal-01743380v1
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Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation

Christophe Besse , Benoît Mésognon-Gireau , Pascal Noble
Numerische Mathematik, 2018, ⟨10.1007/s00211-017-0943-1⟩
Journal articles hal-01305360v1
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Restoring quasireversibility with a single topological charge

Juan Pablo Álvarez Zúñiga , Christophe Besse , Romain Duboscq , Juliette Billy , David Guéry-Odelin
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2017, 96 (5), pp.053618. ⟨10.1103/PhysRevA.96.053618⟩
Journal articles hal-01634474v1
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Schwarz waveform relaxation method for one dimensional Schrödinger equation with general potential

Christophe Besse , Feng Xing
Numerical Algorithms, 2017, 74 (2), pp.393-426. ⟨10.1007/s11075-016-0153-4⟩
Journal articles hal-01128099v1
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Domain decomposition algorithms for two dimensional linear Schrödinger equation

Christophe Besse , Feng Xing
Journal of Scientific Computing, 2017, 72 (2), pp.735-760. ⟨10.1007/s10915-017-0375-1⟩
Journal articles hal-01165101v2
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Discrete transparent boundary conditions for the mixed KDV-BBM equation

Christophe Besse , Pascal Noble , David Sanchez
Journal of Computational Physics, 2017, 345, pp.484-509. ⟨10.1016/j.jcp.2017.05.031⟩
Journal articles hal-01373388v1
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High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates

Christophe Besse , Guillaume Dujardin , Ingrid Lacroix-Violet
SIAM Journal on Numerical Analysis, 2017, 55 (3), pp.1387-1411. ⟨10.1137/15M1029047⟩
Journal articles hal-01170888v2
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Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations

Xavier Antoine , Christophe Besse , Romain Duboscq , Vittorio Rispoli
Computer Physics Communications, 2017, 219, pp.70-78. ⟨10.1016/j.cpc.2017.05.008⟩
Journal articles hal-01356227v1
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Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates

Christophe Besse , Feng Xing
SMAI Journal of Computational Mathematics, 2016, 2, pp.277-300. ⟨10.5802/smai-jcm.17⟩
Journal articles hal-01285359v1
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High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger /Gross-Pitaevskii equations

Xavier Antoine , Christophe Besse , Vittorio Rispoli
Journal of Computational Physics, 2016, 327, pp.252-269. ⟨10.1016/j.jcp.2016.09.020⟩
Journal articles hal-01271463v1
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Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Christophe Besse , Matthias Ehrhardt , Ingrid Lacroix-Violet
Numerical Methods for Partial Differential Equations, 2016, 35 (5), pp.1455-1484. ⟨10.1002/num.22058⟩
Journal articles hal-01105043v3

Excitation of radial collective modes in a quantum dot: Beyond linear response

Vidar Gudmundsson , Sigtryggur Hauksson , Arni Johnsen , Gilbert Reinisch , Andrei Manolescu
Annalen der Physik, 2014, 526 (5-6), pp.14. ⟨10.1002/andp.201400048⟩
Journal articles hal-00907845v1
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Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Christophe Besse , Julien Coatleven , Sonia Fliss , Ingrid Lacroix-Violet , Karim Ramdani
Communications in Mathematical Sciences, 2013, 11 (4), pp.907-938
Journal articles hal-00698916v1
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Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Part II: Discretization and numerical results

Xavier Antoine , Christophe Besse , Pauline Klein
Numerische Mathematik, 2013, 125 (2), pp.191-223
Journal articles hal-00931115v1
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An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit

Christophe Besse , Rémi Carles , Florian Méhats
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2013, 11 (4), pp.1228-1260. ⟨10.1137/120899017⟩
Journal articles hal-00752011v1

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

Xavier Antoine , Weizhu Bao , Christophe Besse
Computer Physics Communications, 2013, 184 (12), pp.2621-2633. ⟨10.1016/j.cpc.2013.07.012⟩
Journal articles hal-01094312v1

Efficient numerical methods for strongly anisotropic elliptic equations

Christophe Besse , Fabrice Deluzet , Claudia Negulescu , Chang Yang
Journal of Scientific Computing, 2013, 55 (1), p. 231-254. ⟨10.1007/s10915-012-9630-7⟩
Journal articles hal-00961522v1
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Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part I: Construction and a priori Estimates

Xavier Antoine , Christophe Besse , Pauline Klein
Mathematical Models and Methods in Applied Sciences, 2012, 22 (10), pp.1250025. ⟨10.1142/S021820251250025X⟩
Journal articles hal-00755639v1

Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes

Christophe Besse , Saja Borghol , Thierry Goudon , Ingrid Lacroix-Violet , Jean-Paul Dudon
Advances in Applied Mechanics, 2011, 3 (5), pp.519--561
Journal articles hal-00905330v1

Numerical approximation of Knudsen layer for Euler-Poisson system

Frédérique Charles , Nicolas Vauchelet , Christophe Besse , Thierry Goudon , Ingrid Violet
ESAIM: Proceedings, 2011, CEMRACS'10 research achievements: Numerical modeling of fusion, 32, pp.177--194. ⟨10.1051/proc/2011020⟩
Journal articles hal-00905329v1
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Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

Xavier Antoine , Christophe Besse , Pauline Klein
SIAM Journal on Scientific Computing, 2011, 33 (2), pp.1008-1033. ⟨10.1137/090780535⟩
Journal articles hal-00755578v1
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Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

Pauline Klein , Xavier Antoine , Christophe Besse , Matthias Ehrhardt
Communications in Computational Physics, 2011, 10 (5), pp.1280-1304
Journal articles hal-00755605v1
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Numerical Solution of Time-Dependent Nonlinear Schrödinger Equations Using Domain Truncation Techniques Coupled With Relaxation Scheme

Xavier Antoine , Christophe Besse , Pauline Klein
Laser Physics, 2011, 21 (8), pp.1-12
Journal articles hal-00755612v1

Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

Xavier Antoine , Christophe Besse , Pauline Klein
Journal of Computational Physics, 2009, 228 (2), pp.312-335. ⟨10.1016/j.jcp.2008.09.013⟩
Journal articles hal-00347888v1
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Towards Accurate Artificial Boundary Conditions for Nonlinear PDEs Through Examples

Xavier Antoine , Christophe Besse , Jeremie Szeftel
Cubo, a Mathematical Journal, 2009, 11 (4), pp.1008-1033
Journal articles hal-00755572v1

A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

Xavier Antoine , Anton Arnold , Christophe Besse , Matthias Ehrhardt , Achim Schädle
Communications in Computational Physics, 2008, 4 (4), pp.729-796
Journal articles hal-00347884v1
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Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests

Christophe Besse , Rémi Carles , Norbert Mauser , Hans-Peter Stimming
Discrete and Continuous Dynamical Systems - Series B, 2008, 9 (1), pp.11-36. ⟨10.3934/dcdsb.2008.9.11⟩
Journal articles hal-00020062v2

Artificial Boundary Conditions for One-Dimensional Cubic Nonlinear Schrodinger Equations

Xavier Antoine , Christophe Besse , Stéphane Descombes
SIAM Journal on Numerical Analysis, 2006, 43 (6), pp.2272-2293
Journal articles hal-00091673v1

Instability of the ionospheric plasma: modeling and analysis.

Christophe Besse , Jean Claudel , Pierre Degond , Fabrice Deluzet , Gérard Gallice
SIAM Journal on Applied Mathematics, 2005, 65 n° 6, pp.2178--2198 (electronic)
Journal articles hal-00018465v1

Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions.

Xavier Antoine , Christophe Besse , Vincent Mouysset
Math. Comp., 2004, 73 n°248, pp.1779--1799 (electronic)
Journal articles hal-00018459v1

A relaxation scheme for the nonlinear Schrödinger equation.

Christophe Besse
SIAM Journal on Numerical Analysis, 2004, 42 n° 3, pp.934--952 (electronic)
Journal articles hal-00018462v1

Numerical Schemes for the Simulation of the Two-Dimensional Schrödinger Equation using Non-Reflecting Boundary Conditions

Xavier Antoine , Vincent Mouysset , Christophe Besse
Mathematics of Computation, 2004, 73, pp.1779-1799
Journal articles hal-00141066v1

A model hierarchy for ionospheric plasma modeling.

Christophe Besse , Pierre Degond , Fabrice Deluzet , Jean Claudel , Gerard Gallice
Mathematical Models and Methods in Applied Sciences, 2004, 14 n°3, pp.393--415
Journal articles hal-00018457v1

Numerical study of the Davey-Stewartson system.

Christophe Besse , Norbert J. Mauser , Hans Peter Stimming
ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 n° 6, pp.1035--1054
Journal articles hal-00018461v1
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A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP

Christophe Besse , Brigitte Bidégaray-Fesquet , Antoine Bourgeade , Pierre Degond , Olivier Saut
ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 (2), pp.321-344. ⟨10.1051/m2an:2004015⟩
Journal articles hal-00018460v1

Unconditionally Stable Discretization Schemes of Non-Reflecting Boundary Conditions for the One-Dimensional Schrödinger Equation

Xavier Antoine , Christophe Besse
Journal of Computational Physics, 2003, 188 (1), pp.157-175. ⟨10.1016/S0021-9991(03)00159-1⟩
Journal articles hal-00347877v1
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Order estimates in time of splitting methods for the nonlinear Schrödinger equation

Christophe Besse , Brigitte Bidégaray , Stéphane Descombes
SIAM Journal on Numerical Analysis, 2002, 40 (1), pp.26-40. ⟨10.1137/S0036142900381497⟩
Journal articles hal-00319991v1
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Numerical study of self-focusing solutions to the Schrödinger-Debye system

Christophe Besse , Brigitte Bidégaray
ESAIM: Mathematical Modelling and Numerical Analysis, 2001, 35 (1), pp.35-55. ⟨10.1051/m2an:2001106⟩
Journal articles hal-00319989v1

Construction, Structure and Asymptotic Approximations of a Microdifferential Transparent Boundary Condition for the Linear Schrödinger Equation

Xavier Antoine , Christophe Besse
Journal de Mathématiques Pures et Appliquées, 2001, 80 (7), pp.701-738. ⟨10.1016/S0021-7824(01)01213-2⟩
Journal articles hal-00347875v1
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Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson

Christophe Besse
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998, 326 (12), pp.1427-1432. ⟨10.1016/s0764-4442(98)80405-9⟩
Journal articles hal-01741535v1

Nonlinear Optical and Atomic Systems

Christophe Besse , Jean-Claude Garreau
Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI). Springer International Publisher, 2146, 2015, Lecture Notes in Mathematics, 978-3-319-19014-3
Books hal-01211554v1
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Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions

Matthieu Maunoury , Christophe Besse , Vincent Mouysset , Sébastien Pernet
Lecture Notes in Computer Science, 10860, Springer International Publishing AG, 2018, Computational Science – ICCS 2018, 978-3-319-93698-7. ⟨10.1007/978-3-319-93698-7_54⟩
Book sections hal-01743384v1

Artificial Boundary Conditions for Schrödinger-type Equations and their Numerical Approximation

Xavier Antoine , Christophe Besse
Y.Y. Lu, W.W. Sun and Tao Tang. Advances in Scientific Computing and Applications, Science Press, pp.8-21, 2004
Book sections hal-00141072v1