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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
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hal-03164639v1
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Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes
Christophe Besse
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Saja Borghol
,
Thierry Goudon
,
Ingrid Lacroix-Violet
,
Jean-Paul Dudon
Advances in Applied Mechanics, 2011, 3 (5), pp.519--561
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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
,
et al.
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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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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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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Unconditionally Stable Discretization Schemes of Non-Reflecting Boundary Conditions for the One-Dimensional Schrödinger Equation
Xavier Antoine
,
Christophe Besse
Journal articles
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hal-00347877v1
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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
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hal-00347884v1
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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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Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests
Christophe Besse
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Rémi Carles
,
Norbert Mauser
,
Hans-Peter Stimming
Journal articles
hal-00020062v2
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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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An implicit time integration approach for simulation of corona discharges
Christophe Besse
,
Tuan Dung Nguyen
,
François Rogier
2023
Preprints, Working Papers, ...
hal-04102798v1
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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
Journal articles
hal-03154036v1
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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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Dynamics of epidemic spreading on connected graphs
Christophe Besse
,
Grégory Faye
Journal articles
hal-03019230v1
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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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Numerical study of self-focusing solutions to the Schrödinger-Debye system
Christophe Besse
,
Brigitte Bidégaray
Journal articles
hal-00319989v1
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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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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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Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis
Christophe Besse
,
Romain Duboscq
,
Stefan Le Coz
2023
Preprints, Working Papers, ...
hal-04151806v1
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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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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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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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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
,
et al.
Journal articles
hal-00907845v1
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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
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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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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
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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⟩
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