Nombre de documents

39

Mes publications


Article dans une revue28 documents

  • Christophe Besse, Matthias Ehrhardt, Ingrid Lacroix-Violet. Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation. Numerical Methods for Partial Differential Equations, Wiley, 2016, 35 (5), pp.1455-1484. <hal-01105043v3>
  • Vidar Gudmundsson, Sigtryggur Hauksson, Arni Johnsen, Gilbert Reinisch, Andrei Manolescu, et al.. Excitation of radial collective modes in a quantum dot: Beyond linear response. Annalen der Physik, 2014, 526 (5-6), pp.14. <10.1002/andp.201400048>. <hal-00907845>
  • Xavier Antoine, Christophe Besse, Pauline Klein. Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part II: Discretization and Numerical Results. Numerische Mathematik, Springer Verlag, 2013, 125 (2), pp.191-223. <hal-00931115>
  • Xavier Antoine, Weizhu Bao, Christophe Besse. Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Computer Physics Communications, Elsevier, 2013, 184 (12), pp.2621-2633. <10.1016/j.cpc.2013.07.012>. <hal-01094312>
  • Christophe Besse, Julien Coatleven, Sonia Fliss, Ingrid Lacroix-Violet, Karim Ramdani. Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.. Communications in Mathematical Sciences, International Press, 2013, 11 (4), pp.907-938. <hal-00698916>
  • Christophe Besse, Rémi Carles, Florian Méhats. An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2013, 11 (4), pp.1228-1260. <10.1137/120899017>. <hal-00752011>
  • Christophe Besse, Fabrice Deluzet, Claudia Negulescu, Chang Yang. Efficient numerical methods for strongly anisotropic elliptic equations. Journal of Scientific Computing, Springer Verlag, 2013, 55 (1), p. 231-254. <10.1007/s10915-012-9630-7>. <hal-00961522>
  • Xavier Antoine, Christophe Besse, Pauline Klein. Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part I: Construction and a priori Estimates. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, 22 (10), pp.1250025. <10.1142/S021820251250025X>. <hal-00755639>
  • Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon. Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes. Advances in Applied Mechanics, New York ; London ; Paris [etc] : Academic Press, 2011, 3 (5), pp.519--561. <http://www.global-sci.org/aamm/volumes/v3n5/pdf/35-519.pdf>. <hal-00905330>
  • Xavier Antoine, Christophe Besse, Pauline Klein. Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2011, 33 (2), pp.1008-1033. <10.1137/090780535>. <hal-00755578>
  • Xavier Antoine, Christophe Besse, Pauline Klein. Numerical Solution of Time-Dependent Nonlinear Schrödinger Equations Using Domain Truncation Techniques Coupled With Relaxation Scheme. Laser Physics, MAIK Nauka/Interperiodica, 2011, 21 (8), pp.1-12. <hal-00755612>
  • Pauline Klein, Xavier Antoine, Christophe Besse, Matthias Ehrhardt. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities. Communications in Computational Physics, Global Science Press, 2011, 10 (5), pp.1280-1304. <hal-00755605>
  • Xavier Antoine, Christophe Besse, Jeremie Szeftel. Towards Accurate Artificial Boundary Conditions for Nonlinear PDEs Through Examples. Cubo, a Mathematical Journal, 2009, 11 (4), pp.1008-1033. <hal-00755572>
  • Xavier Antoine, Christophe Besse, Pauline Klein. Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Journal of Computational Physics, Elsevier, 2009, 228 (2), pp.312-335. <hal-00347888>
  • Christophe Besse, Rémi Carles, Norbert Mauser, Hans-Peter Stimming. Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2008, 9 (1), pp.11-36. <hal-00020062v2>
  • Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt, Achim Schädle. A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations. Communications in Computational Physics, Global Science Press, 2008, 4 (4), pp.729-796. <hal-00347884>
  • Xavier Antoine, Christophe Besse, Stéphane Descombes. Artificial Boundary Conditions for One-Dimensional Cubic Nonlinear Schrodinger Equations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2006, 43 (6), pp.2272-2293. <hal-00091673>
  • Christophe Besse, Jean Claudel, Pierre Degond, Fabrice Deluzet, Gérard Gallice, et al.. Instability of the ionospheric plasma: modeling and analysis.. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2005, 65 n° 6, pp.2178--2198 (electronic). <hal-00018465>
  • Xavier Antoine, Vincent Mouysset, Christophe Besse. Numerical Schemes for the Simulation of the Two-Dimensional Schrödinger Equation using Non-Reflecting Boundary Conditions. Mathematics of Computation, American Mathematical Society, 2004, 73, pp.1779-1799. <hal-00141066>
  • Christophe Besse, Pierre Degond, Fabrice Deluzet, Jean Claudel, Gerard Gallice, et al.. A model hierarchy for ionospheric plasma modeling.. Math. Models Meth. Appl. Sci., 2004, 14 n°3, pp.393--415. <hal-00018457>
  • Christophe Besse, Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Pierre Degond, Olivier Saut. A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP.. Modelisation Mathématique et Analyse Numérique, EDP sciences SMAI, 2004, 38 n°2, pp.321--344. <hal-00018460>
  • Christophe Besse. A relaxation scheme for the nonlinear Schrödinger equation.. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2004, 42 n° 3, pp.934--952 (electronic). <hal-00018462>
  • Xavier Antoine, Christophe Besse, Vincent Mouysset. Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions.. Math. Comp., 2004, 73 n°248, pp.1779--1799 (electronic). <hal-00018459>
  • Christophe Besse, Norbert J. Mauser, Hans Peter Stimming. Numerical study of the Davey-Stewartson system.. Modelisation Mathématique et Analyse Numérique, EDP sciences SMAI, 2004, 38 n° 6, pp.1035--1054. <hal-00018461>
  • Xavier Antoine, Christophe Besse. Unconditionally Stable Discretization Schemes of Non-Reflecting Boundary Conditions for the One-Dimensional Schrödinger Equation. Journal of Computational Physics, Elsevier, 2003, 188 (1), pp.157-175. <hal-00347877>
  • Christophe Besse, Brigitte Bidégaray, Stéphane Descombes. Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2002, 40 (1), pp.26-40. <hal-00319991>
  • Christophe Besse, Brigitte Bidégaray. Numerical study of self-focusing solutions to the Schrödinger-Debye system. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2001, 35 (1), pp.35-55. <10.1051/m2an:2001106>. <hal-00319989>
  • Xavier Antoine, Christophe Besse. Construction, Structure and Asymptotic Approximations of a Microdifferential Transparent Boundary Condition for the Linear Schrödinger Equation. Journal de Mathématiques Pures et Appliquées, Elsevier, 2001, 80 (7), pp.701-738. <hal-00347875>

Ouvrage (y compris édition critique et traduction)1 document

  • Christophe Besse, Jean-Claude Garreau. Nonlinear Optical and Atomic Systems: At the Interface of Physics and Mathematics. 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. <http://math.univ-lille1.fr/~cempi/>. <hal-01211554>

Chapitre d'ouvrage1 document

  • Xavier Antoine, Christophe Besse. Artificial Boundary Conditions for Schrödinger-type Equations and their Numerical Approximation. Y.Y. Lu, W.W. Sun and Tao Tang. Advances in Scientific Computing and Applications, Science Press, pp.8-21, 2004. <hal-00141072>

Pré-publication, Document de travail8 documents

  • Christophe Besse, Benoît Mésognon-Gireau, Pascal Noble. Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation. 2016. <hal-01305360>
  • Christophe Besse, Feng Xing. Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates. 2016. <hal-01285359>
  • Xavier Antoine, Christophe Besse, Vittorio Rispoli. High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger /Gross-Pitaevskii equations. 2016. <hal-01271463>
  • Christophe Besse, Pascal Noble, David Sanchez. Discrete transparent boundary conditions for the mixed KDV-BBM equation. 2016. <hal-01373388>
  • Xavier Antoine, Christophe Besse, Romain Duboscq, Vittorio Rispoli. Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. 2016. <hal-01356227>
  • Christophe Besse, Feng Xing. Domain decomposition algorithms for two dimensional linear Schrödinger equation. 2015. <hal-01165101v2>
  • Christophe Besse, Guillaume Dujardin, Ingrid Lacroix-Violet. High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates. 2015. <hal-01170888>
  • Christophe Besse, Fabrice Deluzet, Claudia Negulescu, Chang Yang. Effcient numerical methods for strongly anisotropic elliptic equations. 2011. <hal-00586031>

HDR1 document

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