Christophe Besse

What a pretty face, isn't it?... Professor -- Université Toulouse 3 Paul Sabatier
Head of CIMI LabEx

Institut de Mathématiques de Toulouse U.M.R CNRS 5219
Université Paul Sabatier Toulouse 3
118 Route de Narbonne
31062 Toulouse Cedex 9
Phone : +33 (0)5.61.55.75.87
Email : Christophe.Besse_at_math.univ-toulouse.fr
(to replace _at_ by @)

Lastest news...

Book

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

New preprints

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

  • Local head of the projet ANR BECASIM (2013-2016), Méthodes Numérique program
  • Member of the project ANR Moonrise , (2015-2019)
  • Member of the project ANR Bond , (2013-2017)
  • Member of the project ANR LODIQUAS (2012-2014), Blanc International program
  • Head dof the project ANR IODISSEE (2009-2013), Cosinus program, Conception et Simulation, funded by the ANR Agency
  • Local head of the project ANR MicroWave (2009-2013), Blanc program, funded by the ANR Agency

Presentation (forthcoming)

Presentations

French version

Last update

Monday, January 23 2017

Publications

If you're interested, you can find my publications right here... Publications

Lastest resources

Habilitation Thesis short version [05/02/07]
Habilitation Thesis

Main areas


Christophe Besse Professor -- Université Toulouse 3 Paul Sabatier