La toile de BD

Bruno Desprs

Professor at the Jacques-Louis Lions Laboratory
et Institut universitaire de France 2016

Tower 15-25, third floor, office 17

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

CV (2016) pdf .

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).

Link to the english translation of the seminal TREFFTZ paper (translation by Maunder) HERE.

New book: Numerical Methods for Eulerian and Lagrangian Conservation HERE.

Talks:

Algorithmic issues for the modeling of uncertainties in kinetic equations INdAM 2016 here,

Numkin 2016 site of the conference :talk New weak formulations for resonant Maxwell's equations and first numerical results

This is new approach to polynomials with sign: play with quaternions algebra and more

Bound preserving polynomials and numerical approximation, in Honor of Tito Trento 70th Birthday (in 2016), here

Groupe de travail

Stability and boundary interactions for fusion plasmas

Recent 2017/2018 papers or preprints

Mathematical modeling in applied physics

Navier-Stokes Hierarchies of Reduced MHD Models in Tokamak Geometry, with Remy Sart, Journal of Mathematical Fluid Mechanics 2017
Waves in fusion plasmas
- A Stable Formulation of Resonant Maxwell's Equations in Cold Plasma, with A. Nicolopoulos and M. Campos-Pinto, Hal preprint
- Constructive formulations of resonant Maxwell's equations, with Martin Campos-Pinto, SIAM J. Math. Anal. 49 (2017)
- Solutions to the cold plasma model at resonances, with Lise-MArie Imbert-Gérard dna Olivier Lafitte, Journal Ecole Polytechnique (2017)
Anisotropic models and angular moments methods for the Compton scattering, with C. Buet and T. Leroy, Hal preprint

Numerical methods/scientific computing

Trefftz Discontinuous Galerkin Method for Friedrichs Systems with Linear Relaxation: Application to the P 1 Model, with G. Morel and C. Buet, Special issue CMAM, De Gruyter publisher
Inverse Lax-Wendroff boundary treatment for compressible Lagrange-remap hydrodynamics on Cartesian grids, with G. Dakin and S. Jaouen, JCP Article in press 2017

Positive polynomials

Polynomials with bounds and numerical approximation, Numerical Algorithms 2017 and Erratum (with M. Herda).
Algorithms for positive polynomial approximation, with F. Charles and M. Campos-Pinto, HAL Preprint 2017
Two sided space-time L1 approximation and optimal control of polynomial systems, with Emmanuel Trelat, HAL Preprint 2017

Cours 2017-2018

M2, cours de base B004: site du cours ici et poly ici .
Texte TD1 (12/09): ici .
Texte TP1 (19/09): ici .
Code Scilab TP1 (19/09): ici .
Texte TD2 (26/09): ici .
Devoir maison. Renvoyer pour le 27/10: ici .
Texte TP1 (04/10): ici .
Code Scilab TP2 (04/10): ici , et ici . Code Scilab TP2 (04/10), version avec corrections: ici .
Texte TD3 (11/10): ici .
Texte TP3 (18/10): ici .
Code TP3 (18/10): ici et un fin de fichier de résultat pour le schéma upwind, solution régulière (à afficher avec gnuplot en échelle log).

Bruno Desprs

Bruno Desprs