Bruno Desprs
Professor at the
Jacques-Louis Lions Laboratory
et
Institut universitaire de France 2016
Adress
University
PARIS 6, UPMC
4 place Jussieu,
Paris IV, 75015, Paris
My principal fields of interest come from the mathematical analysis and numerical solution of Partial Differential Equations.
Applications come from the mathematical physics (wave equations, compressible fluids) for various problems of interest.
Specific applications in Plasma Physics (ICF-Inertial Confinement Fusion and MCF-Magnetic Confinement Fusion) are considered.
Talks:
This is new approach to polynomials with sign: play with algebra and numerical analysis
Groupe de travail
Recent 2017/2018 papers or preprints
-
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-Gerard dna Olivier Lafitte,
Journal Ecole Polytechnique (2017)
- Modelling of radio frequency sheath and fast wave coupling on the realistic ion cyclotron resonant antenna surroundings and the outer wall, with L Lu, L Colas et al, Plasma Physics and Controlled Fusion 2018
- A Stable Formulation of Resonant Maxwell's Equations in Cold Plasma,
with A. Nicolopoulos and M. Campos-Pinto,
Hal preprint
- Anisotropic models and angular moments methods for the Compton scattering,
with C. Buet and T. Leroy,
Hal preprint
- 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
- New book: Numerical Methods for Eulerian and Lagrangian Conservation, Springer/Birkhauser 2017
- 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, SIAM Journal Applied Mathematics & Optimization 2018
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).