Christophe Besse

What a pretty face, isn't it?... Professeur à l'Université Toulouse 3 Paul Sabatier
Directeur du LabEx CIMI

Institut de Mathématiques de Toulouse U.M.R CNRS 5219
Université Paul Sabatier Toulouse 3
118 Route de Narbonne
31062 Toulouse Cedex 9
Tél. : +33 (0)5.61.55.75.87
Courriel : Christophe.Besse_at_math.univ-toulouse.fr
(remplacer _at_ par @)

Dernières nouvelles ...

Livre

Publications

  • C. Besse, J.-C. Garreau Editors, Nonlinear Optical and Atomic Systems, At the Interface of PHysics and Mathematics, Lecture Notes in Mathematics 2146, Springer, Link

Nouvelles prépublications

Publications

  • C. Besse, B. Mesognon, P. Noble, Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation, submitted, 2016, Link
  • Abstract: We consider various approximations of artificial boundary conditions for linearized Benjamin-Bona-Mahoney equation. Continuous (respectively discrete) artificial boundary conditions involve non local operators in time which in turn requires to compute time convolutions and invert the Laplace transform of an analytic function (respectively the Z-transform of an holomorphic function). In this paper, we derive explicit transparent boundary conditions both continuous and discrete for the linearized BBM equation. The equation is discretized with the Crank Nicolson time discretization scheme and we focus on the difference between the upwind and the centered discretization of the convection term. We use these boundary conditions to compute solutions with compact support in the computational domain and also in the case of an incoming plane wave which is an exact solution of the linearized BBM equation. We prove consistency, stability and convergence of the numerical scheme and provide many numerical experiments to show the efficiency of our tranparent boundary conditions.

ANR

ANR

  • Coordinateur local de l'ANR BECASIM (2013-2016), programme Méthodes Numérique
  • Membre de l'ANR Moonrise , (2015-2019)
  • Membre de l'ANR Bond , (2013-2017)
  • Membre de l'ANR LODIQUAS, programme Blanc International, (2012-2014)
  • Coordinateur de l'ANR IODISSEE (2009-2014), programme Cosinus, Conception et Simulation
  • Coordinateur local de l'ANR MicroWave (2009-2013), programme Blanc

Mini-cours et présentations

Presentations

English version

Dernière mise à jour

le 23 Janvier 2017

Liste de publications

Vous pouvez trouver ici ma liste de publications, téléchargeables après un simple clic de souris ... Publications

Dernières resources

Habilitation Version courte [05/02/07]
Habilitation à Diriger des Recherches

Main areas


Christophe Besse Professeur à l'Université Toulouse 3 Paul Sabatier