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 (2018) pdf .

Principal fields of interest: they 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.
Specific applications in Plasma Physics (ICF-Inertial Confinement Fusion and MCF-Magnetic Confinement Fusion) are considered.

Long term interests in the construction of new numerical algorithms materialized recently in 2 directions

new approach to polynomials with sign: Recent Results In Positivity Preserving Polynomials here

play with Machine Learning (who does not these days ?) and Scientific Computing: Master thesis of Sory Bineta Diallo (Algorithmes d'apprentissage et reseaux de neurones appliques au calcul scientifique here ).

Link to the Maunder translation of the 1926 Trefftz paper here

Possibility of a Master internship (M1/M2/"stage ingenieur") on Machine Learning and Scientific Computing at CEA in 2018/2019: contact me (French nationality required).

Possibility of a PHD at CEA on Computational Fluid Dynamics and SciComp in 2019: contact me (French nationality required).

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
- 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
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 basis functions for a class of Friedrichs systems coming from linear transport, with G. Morel and C. Buet, HAL 2019
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
High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation, with G. Dakin and S. Jaouen, JCP Article in press 2019
New book: Numerical Methods for Eulerian and Lagrangian Conservation, Springer/Birkhauser 2017 A recent review can be found here

Positive polynomials

Iterative Calculation of Sum Of Squares, with Maxime Herda HAL 2018
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, accepted in Siam Numer. Anal.
Two sided space-time L1 approximation and optimal control of polynomial systems, with Emmanuel Trelat, SIAM Journal Applied Mathematics & Optimization 2018

Cours 2018-2019

M2, cours de base B004: site du cours ici et poly ici .
Texte TD1 (13/09/2018): ici .
Texte TP1 (20/09/2018): ici .
Fichier Python du TP1 (20/09/2018): ici .
Texte TD2 (27/09/2018): ici .
Texte TP2 (04/10/2018): ici .
Fichier Python du TP2 (04/10/2018): ici et ici .
Texte TD3 (11/09/2018): ici .
Texte TP3 (18/10/2018): ici .
Fichier Python du TP3 (18/10/2018): ici
DM: rendre pour le (16/11/2018) ici .

Bruno Desprs

Bruno Desprs