Christophe Besse

Documents

Publications

	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⟩ Article dans une revue hal-04102798v1
	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 Article dans une revue hal-03690078v2
	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 Article dans une revue hal-03164639v1
	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 Article dans une revue hal-03352814v1
	Perfectly Matched Layers Methods for Mixed Hyperbolic–Dispersive Equations Christophe Besse , Sergey Gavrilyuk , Maria Kazakova , Pascal Noble Water Waves, 2022, ⟨10.1007/s42286-022-00069-1⟩ Article dans une revue hal-03834384v1
	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 Article dans une revue hal-02798328v3
	Asymptotic behavior of nonlocal bistable reaction-diffusion equations Christophe Besse , Alexandre Capel , Grégory Faye , Guilhem Fouilhé Discrete and Continuous Dynamical Systems - Series B, 2022 Article dans une revue hal-03528365v1
	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 Article dans une revue hal-02280886v1
	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 Article dans une revue hal-02992821v2
	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⟩ Article dans une revue hal-01951527v1
	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⟩ Article dans une revue hal-03154036v1
	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⟩ Article dans une revue hal-03019230v1
	Spreading properties for SIR models on homogeneous trees Christophe Besse , Grégory Faye Bulletin of Mathematical Biology, 2021 Article dans une revue hal-03251359v1
	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⟩ Article dans une revue hal-01741189v2
	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⟩ Article dans une revue hal-01305360v1
	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⟩ Article dans une revue hal-01743380v1
	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⟩ Article dans une revue hal-01634474v1
	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⟩ Article dans une revue hal-01128099v1
	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⟩ Article dans une revue hal-01356227v1
	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⟩ Article dans une revue hal-01165101v2
	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⟩ Article dans une revue hal-01373388v1
	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⟩ Article dans une revue hal-01170888v2
	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⟩ Article dans une revue hal-01271463v1
	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⟩ Article dans une revue hal-01105043v3
	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⟩ Article dans une revue hal-01285359v1
	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⟩ Article dans une revue hal-00907845v1
	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⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue hal-00961522v1
	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 Article dans une revue hal-00698916v1
	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 Article dans une revue hal-00931115v1
	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⟩ Article dans une revue 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 Article dans une revue 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⟩ Article dans une revue hal-00905329v1
	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⟩ Article dans une revue hal-00755578v1
	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 Article dans une revue hal-00755612v1
	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 Article dans une revue hal-00755605v1
	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⟩ Article dans une revue hal-00347888v1
	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 Article dans une revue 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 Article dans une revue hal-00347884v1
	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⟩ Article dans une revue 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 Article dans une revue 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) Article dans une revue 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) Article dans une revue 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) Article dans une revue 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 Article dans une revue 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 Article dans une revue 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 Article dans une revue hal-00018461v1
	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⟩ Article dans une revue 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⟩ Article dans une revue hal-00347877v1
	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⟩ Article dans une revue hal-00319991v1
	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⟩ Article dans une revue hal-00347875v1
	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⟩ Article dans une revue hal-00319989v1
	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⟩ Article dans une revue 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 Ouvrages hal-01211554v1

	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⟩ Chapitre d'ouvrage 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 Chapitre d'ouvrage hal-00141072v1

	Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis Christophe Besse , Romain Duboscq , Stefan Le Coz 2023 Pré-publication, Document de travail hal-04151806v1
	Effcient numerical methods for strongly anisotropic elliptic equations Christophe Besse , Fabrice Deluzet , Claudia Negulescu , Chang Yang 2011 Pré-publication, Document de travail hal-00586031v1

	Méthodes numériques et conditions aux limites artificielles pour les équations de Schrödinger linéaires et non linéaires et modélisation d'irrégularités du plasma ionosphérique terrestre Christophe Besse Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2004 HDR tel-00008640v1

Christophe Besse

Publications

An implicit time integration approach for simulation of corona discharges

The logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$

Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library

High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling

Perfectly Matched Layers Methods for Mixed Hyperbolic–Dispersive Equations

Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs

Asymptotic behavior of nonlocal bistable reaction-diffusion equations

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme

Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions

Energy preserving methods for nonlinear Schrödinger equations

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation

Dynamics of epidemic spreading on connected graphs

Spreading properties for SIR models on homogeneous trees

A conservation law with spatially localized sublinear damping

Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation

Well-suited and adaptive post-processing for the visualization of hp simulation results

Restoring quasireversibility with a single topological charge

Schwarz waveform relaxation method for one dimensional Schrödinger equation with general potential

Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations

Domain decomposition algorithms for two dimensional linear Schrödinger equation

Discrete transparent boundary conditions for the mixed KDV-BBM equation

High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates

High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger /Gross-Pitaevskii equations

Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates

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

An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit

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

Efficient numerical methods for strongly anisotropic elliptic equations

Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Part II: Discretization and numerical results

Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part I: Construction and a priori Estimates

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

Numerical approximation of Knudsen layer for Euler-Poisson system

Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

Numerical Solution of Time-Dependent Nonlinear Schrödinger Equations Using Domain Truncation Techniques Coupled With Relaxation Scheme

Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

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

Towards Accurate Artificial Boundary Conditions for Nonlinear PDEs Through Examples

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

Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests

Artificial Boundary Conditions for One-Dimensional Cubic Nonlinear Schrodinger Equations

Instability of the ionospheric plasma: modeling and analysis.

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

A relaxation scheme for the nonlinear Schrödinger equation.

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

A model hierarchy for ionospheric plasma modeling.

Numerical study of the Davey-Stewartson system.

A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP

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

Order estimates in time of splitting methods for the nonlinear Schrödinger equation

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

Numerical study of self-focusing solutions to the Schrödinger-Debye system

Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson

Nonlinear Optical and Atomic Systems

Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions

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

Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis

Effcient numerical methods for strongly anisotropic elliptic equations

Méthodes numériques et conditions aux limites artificielles pour les équations de Schrödinger linéaires et non linéaires et modélisation d'irrégularités du plasma ionosphérique terrestre