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 (ICFInertial Confinement Fusion and MCFMagnetic Confinement
Fusion) are considered.
colloquim talk on Scattering theory (Lax, Kato, ...) interpretation of linearized Landau damping:
recently given at IAMP
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
Machine Learning
and Scientific Computing:
Machine Learning design of Volume of Fluid schemes for compressible flows, with H. Jourdren,
HAL 2020, JCP 2020
colloquim talk on ML:
recently given at LJLL/SU
Play with both polynomials and Machine Learning:
A functional equation with polynomial solutions and application to Neural Networks,
with Matthieu Ancellin
HAL 2020
ANR MUFFIN 2019/2023 here
: ITER oriented project
ANR CHROME 2012/2016 completed
: ITER oriented project
Groupe de travail
Stability and boundary interactions for fusion plasmas
Recent 2019/2020 papers or preprints
Polynomials (positive, with Machine Learning, ...)
Numerical methods/scientific computing

Machine Learning design of Volume of Fluid schemes for compressible flows,
with H. Jourdren,
HAL 2020, published in JCP

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

Sensitivity equation method for the NavierStokes equations applied to uncertainty propagation,
with C. Fiorina and A. Puscas
HAL 2020
Mathematical modeling in applied physics, with emphasis on plasma and fusion plasma
 Trace class properties of the non homogeneous linear VlasovPoisson equation in dimension 1+1,
accepted in J. Spectral theory, 2019
 The VlasovAmpere system and the BernsteinLandau 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
 A variational sheath model for gyrokinetic VlasovPoisson equations,
with Mehdi Badsi, Martin CamposPinto and Ludov GodardCadillac,
HAL 2021
 On Domain Decomposition Methods with optimized transmission conditions and crosspoints,
with Anouk Nicolopoulos and Bertrand Thierry,
HAL 2021
Master M2A: Analyse numerique et Neural Networks