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An implicit time integration approach for simulation of corona discharges
Nguyen Tuan Dung
,
Christophe Besse
,
François Rogier
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, 2023, 376, pp.8553-8619. ⟨10.1090/tran/9007⟩
Journal articles
hal-03690078v2
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High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling
Tuan Dung Nguyen
,
Christophe Besse
,
François Rogier
Journal articles
hal-03352814v1
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Asymptotic behavior of nonlocal bistable reaction-diffusion equations
Christophe Besse
,
Alexandre Capel
,
Grégory Faye
,
Guilhem Fouilhé
Journal articles
hal-03528365v1
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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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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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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
Journal articles
hal-02992821v2
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Spreading properties for SIR models on homogeneous trees
Christophe Besse
,
Grégory Faye
Journal articles
hal-03251359v1
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Dynamics of epidemic spreading on connected graphs
Christophe Besse
,
Grégory Faye
Journal articles
hal-03019230v1
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Energy preserving methods for nonlinear Schrödinger equations
Christophe Besse
,
Stephane Descombes
,
Guillaume Dujardin
,
Ingrid Lacroix-Violet
Journal articles
hal-01951527v1
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FAST MULTI-PRECISION COMPUTATION OF SOME EULER PRODUCTS
Guillaume Bertoli
,
Christophe Besse
,
Gilles Vilmart
Journal articles
hal-03381427v1
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Discrete transparent boundary conditions for the two-dimensional leap-frog scheme
Christophe Besse
,
Jean-François Coulombel
,
Pascal Noble
Journal articles
hal-02280886v1
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A conservation law with spatially localized sublinear damping
Christophe Besse
,
Rémi Carles
,
Sylvain Ervedoza
Journal articles
hal-01741189v2
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Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation
Christophe Besse
,
Benoît Mésognon-Gireau
,
Pascal Noble
Journal articles
hal-01305360v1
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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 articles
hal-01743380v1
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Discrete transparent boundary conditions for the mixed KDV-BBM equation
Christophe Besse
,
Pascal Noble
,
David Sanchez
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
Journal articles
hal-01170888v2
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Domain decomposition algorithms for two dimensional linear Schrödinger equation
Christophe Besse
,
Feng Xing
Journal articles
hal-01165101v2
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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
Journal articles
hal-01356227v1
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Schwarz waveform relaxation method for one dimensional Schrödinger equation with general potential
Christophe Besse
,
Feng Xing
Journal articles
hal-01128099v1
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Restoring quasireversibility with a single topological charge
Juan Pablo Álvarez Zúñiga
,
Christophe Besse
,
Romain Duboscq
,
Juliette Billy
,
David Guéry-Odelin
Journal articles
hal-01634474v1
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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 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
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Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates
Christophe Besse
,
Feng Xing
Journal articles
hal-01285359v1
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Excitation of radial collective modes in a quantum dot: Beyond linear response
Vidar Gudmundsson
,
Sigtryggur Hauksson
,
Arni Johnsen
,
Gilbert Reinisch
,
Andrei Manolescu
Journal articles
hal-00907845v1
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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
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Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
Xavier Antoine
,
Weizhu Bao
,
Christophe Besse
Journal articles
hal-01094312v1
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Efficient numerical methods for strongly anisotropic elliptic equations
Christophe Besse
,
Fabrice Deluzet
,
Claudia Negulescu
,
Chang Yang
Journal articles
hal-00961522v1
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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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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 I: Construction and a priori Estimates
Xavier Antoine
,
Christophe Besse
,
Pauline Klein
Journal articles
hal-00755639v1
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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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Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations
Xavier Antoine
,
Christophe Besse
,
Pauline Klein
Journal articles
hal-00755578v1
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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
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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
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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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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
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Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
Xavier Antoine
,
Christophe Besse
,
Pauline Klein
Journal articles
hal-00347888v1
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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
Journal articles
hal-00020062v2
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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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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
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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
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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
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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
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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
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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
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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
Journal articles
hal-00018460v1
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Unconditionally Stable Discretization Schemes of Non-Reflecting Boundary Conditions for the One-Dimensional Schrödinger Equation
Xavier Antoine
,
Christophe Besse
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
Journal articles
hal-00319991v1
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Construction, Structure and Asymptotic Approximations of a Microdifferential Transparent Boundary Condition for the Linear Schrödinger Equation
Xavier Antoine
,
Christophe Besse
Journal articles
hal-00347875v1
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Numerical study of self-focusing solutions to the Schrödinger-Debye system
Christophe Besse
,
Brigitte Bidégaray
Journal articles
hal-00319989v1
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Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson
Christophe Besse
Journal articles
hal-01741535v1
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