La toile de BD

Bruno Despres

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 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 started in my PhD thesis.
It 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: Machine Learning design of Volume of Fluid schemes for compressible flows, with H. Jourdren, HAL 2020, JCP 2020

a colloquim talk on ML recently given at LJLL/SU

ANR MUFFIN here

Groupe de travail

Stability and boundary interactions for fusion plasmas

Recent 2017/2018 papers or preprints

Mathematical modeling in applied physics for fusion

Degenerate elliptic equations for resonant wave problems, with A. Nicolopoulos, P. Ciarlet Jr. and M. Campos-Pinto, accepted in IMA Journal of Applied Mathematics 2019
A Stable Formulation of Resonant Maxwell's Equations in Cold Plasma, with A. Nicolopoulos and M. Campos-Pinto, Journal of Computational and Applied Mathematics 2019
Scattering structure and Landau damping for linearized Vlasov equations with inhomogeneous Boltzmannian states, published in AHP 2019
Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension 1+1, accepted in J. Spectral theory, 2019
The Vlasov-Ampere system and the Bernstein-Landau paradox, with F. Charles, A. Rege and R. Weder, Hal 2020 , Arxiv 2020
Corners and stable optimized domain decomposition methods for the Helmholtz problem, with Anouk Nicolopoulos and Bertrand Thierry, HAL 2020

Numerical methods/scientific computing

Machine Learning design of Volume of Fluid schemes for compressible flows, with H. Jourdren, HAL 2020, accepted in JCP
TDG method for Friedrichs systems and the P N model in 2D, with G. Morel and C. Buet, HAL 2019
Trefftz Discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport, with G. Morel and C. Buet, to appear in ACOMP
High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation, with G. Dakin and S. Jaouen, JCP 2019
Sensitivity equation method for the Navier-Stokes equations applied to uncertainty propagation, with C. Fiorina and A. Puscas HAL 2020

Positive polynomials

A projection algorithm on the set of polynomials with two bounds, with M. Campos-Pinto, F. Charles, Herda Numer. Algo. 2020
Iterative Calculation of Sum Of Squares, with Maxime Herda HAL 2018, accepted in SIAM J. Numerical Analysis 2020
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, Siam Numer. Anal. 2019

M2, cours de base B004: Examen de 2eme session le 14/01 à 9h00. Pour vous preparez, vous avez
le site du cours ici ,
le poly ici ,
et des sujets d'examen de 2eme session examen 2017 , examen 2018 , examen 2019 .