Who I am
I am a senior research scientist ("directeur de recherche") at Inria.
I am the scientific leader of the PARADYSE project-team at the centre Inria de l'université de Lille.
I am the deputy director for science ("délégué scientifique adjoint") of the resarch center. The director for science is Nathalie Mitton.
I am a member of the team "numerical analysis and PDEs" of the Laboratoire Paul Painlevé.
I am a part-time non-permanent professor ("Professeur chargé de cours d'exercice incomplet") at the Applied Mathematics Department of the École polytechnique.
What I do
I work in applied mathematics and my main research topic is the numerical approximation of the solutions of evolutionary problems. I study numerical approximations of solutions of deterministic (and sometimes stochastic) Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs) and systems, written as well-posed Cauchy-problems. I am interested in quantitative properties of the methods (high order methods, computational efficiency, etc) as well as in qualitative properties (long-time behiaviour, geometry, AP-schemes, etc).
My scientific interests lie in the efficient numerical simulation of fundamental models of Physics. I work with fellow mathematicians as well as physicists (in particular of the PhLAM laboratory in Lille). Applications of my work include nonlinear optics and cold atoms.
PhD and postdoc students
PhD students
- Abbas El Hajj, started in Nov. 2024, co-advised with B. Braconnier and C. Preux
- Sebastian Tapia, started in Oct. 2024, co-advised with A. de Laire
- Andre Berg, 2017-2023, co-advised with D. Cohen, "Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion"
- Anthony Nahas, 2019-2022, co-advised with I. Lacroix-Violet, "Numerical simulation of Bose-Einstein condensates"
- Pierre Mennuni, 2016-2019, co-advised with S. De Bièvre and A. de Laire, "Ondes progressives de l’équation de Gross–Pitaevskii non locale : analyse et simulations"
postdocs
- Quentin Chauleur, 2022-2024, co-advised with R. Chicireanu
- Maxime Gazeau, 2013-2014, co-advised with C. Besse