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
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
materialized recently in 2 directions
new approach to polynomials with sign:
Recent Results In Positivity Preserving Polynomials
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