Bruno Després

Professor at the Jacques-Louis Lions Laboratory

Tower 15-25, third floor, office 17

University PARIS 6
4 place Jussieu, Paris IV, 75015, Paris



  • CURRICULUM VITÆ (2010) pdf .
    Bruno Després Lab. JLL University Paris VI
    • My principal fields of interest come from the mathematical analysis and numerical solution of Partial Differential Equations from the mathematical physics (wave equations, compressible fluids) with application mainly to various problems of interest arising in Plasma Physics (ICF-Inertial Confinement Fusion and MCF-Magnetic Confinement Fusion).
    Groupe de travail
  • Stablité et interaction avec les bords pour les plasmas de fusion
    • Grants
  • Onuplafu (2010-2013) funded by UPMC: a summary . It deals with the reflectometry in fusion plasmas.
    Projects
  • Participation to the AEN Fusion founded by INRIA. See the EMAFF project about the numerical simulation of Reduced resistive MHD models.
    Worshops
  • July 2010: Advanced methods for the diffusion equation on general meshes, site, participation and slides of the presentations .
  • August 2011: Fusion School, site, participation and slides of the presentations .
  • December 2011: CFCAM Meeting, site .
    Recent 2011/2012 papers or preprints

  • Nonlinear stability of a Vlasov equation for magnetic plasmas, F. Charles, B. Perthame, R. Sentis and B.D., here.

  • Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes: Numerische Math. (online) mars 2012, with C. Buet and E. Franck here.

  • A new exceptional points method with application to cell-centered Lagrangian schemes and curved meshes: JCP. (online) mars 2012, with A. Claisse, F. Ledoux and E. Labourasse here.

  • Reduced resistive MHD in Tokamaks with general density: M2AN (online) february 2012, with Remy Sart here.

  • New book Lois de conservation eulériennes, lagrangiennes et méthodes numériques in the collection "Mathématiques et application, SMAI, Springer", volume 68, 2011.

    • Cours 2011-2012

    Cours 2008: Introduction aux méthodes de Volumes Finis, pour le Master Mathématiques et Applications .
    Une ébauche de est disponible en anglais: merci de m'envoyer un email Bruno Després si vous en faites copie.

    The monograph is devoted to the numerical analysis of Finite Volume schemes (FV), as opposed to Finite Element Methods (FEM) or Finite Differences (FD). It is based on a M2 course given at the University of Paris VI, Lab. JLL. The discussion is restricted mainly to linear equations. A convenient model for expository purposes is the advection diffusion equation in dimension two. The spirit in which this monograph has been written makes it suitable for students at the Master level (the technicalities of the proves is limited) and for engineers (the presentation is constructive). A second part will devoted to the construction of non linear schemes for the advection equation, and to a detailed analysis of FV for the diffusion equation. Most of material presented reflects also the own interests of the author about the linear foundations of Finite Volume schemes.
    Cours 2004/2005: Analyse numérique et Algorithmique. Notes de cours Le chapitre 5 présente la méthode Multipoles en 1D.
    Coorganizer of a series of Workshops Multimaterial Fluid Flows : Paris 2003, Oxford 2005, Pragues 2007, Pavia 2009 , Bordeaux 2011 . Member of the Gamni-Smai group.