Publications par thèmes de recherche

Développement et analyse de méthodes numériques Lagrangiennes et semi-Lagrangiennes pour le transport

• F. Charles. Particle methods for transport equations: foundations and improved reconstruction methods. Lecture notes de l’école d’été "11th Summer School on Methods and Models of Kinetic Theory" (MMKT 22). Soumis, 2023. HAL
• From particle methods to forward-backward Lagrangian schemes, with Martin Campos Pinto. SMAI Journal of Computational Mathematics, 2018. HAL, Publication (open access), Bibtex.
• Convergence of a linearly transformed particle method for aggregation equations, with Martin Campos Pinto, José Antonio Carrillo de La Plata, Young-Pil Choi, Numerische mathematik, 2018. HAL, Publication, Bibtex.
• Uniform convergence of a linearly transformed particle method for the Vlasov-Poisson system, with Martin Campos Pinto, SIAM Journal on Numerical Analysis, 2016. HAL, Publication, Bibtex.
• Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation, with Bruno Després and Michel Mehrenberger. SIAM Journal of Numerical Analysis, 2013. HAL, Publication.

Développement de modèles cinétiques pour les écoulements gaz-particules, analyse et simulation numérique

• From collisional kinetic models to sprays: internal energy exchanges, with Laurent Desvillettes, accepté pour publication dans Communications in Mathematical Sciences (2024). HAL.
• Mathematical and numerical study of a kinetic model describing the evolution of planetary rings, with Annamaria Massimini and Francesco Salvarani, in Computers and Mathematics with Applications, 2023. Publication, HAL.
• Mathematical and numerical study of a dusty knudsen gas mixture : extension to non-spherical dust particles. Recent Advances in Kinetic Equations and Applications, Springer INdAM Series, 2021. HAL, Publication.
• Mathematical and Numerical study of a dusty knudsen gas mixture, with Francesco Salvarani, in Acta Applicandae Mathematicae, 2019. HAL, Publication, Bibtex
• Kinetic Modelling of the Transport of Dust Particles in a Rarefied Atmosphere, with Stéphane Dellacherie and Jacques Segré. Mathematical Models and Methods in Applied Sciences, 2012. Preprint, Publication
• Small Mass Ratio Limit of Boltzmann Equations in the Context of the Study of Evolution of Dust Particles in a Rarefied Atmosphere, with L. Desvillettes. Journal of Statistical Physics, 2009. Publication.
• Kinetic modelling and numerical simulations using particle methods for the transport of dust in a rarefied gas. American Institute of Physics. Proceeding of the 26 th symposium "Rarefied gas dynamics'' (RGD), 2008. HAL, Publication.

Analyse et simulation numérique de modèles de plasmas

• Discrete moments models for Vlasov equations with non constant strong magnetic limit, with Bruno Després, Ruiyang Dai, Sever Hirstoaga, Comptes Rendus Mécanique, 351:1–23, 2023. HAL, publication.
• The Vlasov-Ampère system and the Bernstein-Landau paradox, with Bruno Després, Alexandre Rege, Ricardo Weder, Journal of Statistical Physics, 2021. HAL, Publication
• Nonlinear stability of a Vlasov equation for magnetic plasmas, with Bruno Després, Benoît Perthame and Rémi Sentis. Kinetic and related Models, 2013. HAL, Publication
• Numerical Simulation By a Random Particle Method of Deuterium-Tritium Reactions in a Plasma, with C. Copol, S. Dellacherie, J.M Mounsamy. ESAIM PROCEEDINGS, 2012. HAL, Publication.
• Numerical approximation of Knudsen layer for the Euler-Poisson system, with N.Vauchelet, C. Besse, Th. Goudon, I. Lacroix-Violet,  J-P Dudon, L. Navoret. ESAIM PROCEEDINGS, 2011. HAL, Publication

Algorithmes d'interpolation par polynômes positifs

• A projection algorithm on the set of polynomials with two bounds, with Martin Campos-Pinto, Bruno Després, Maxime Herda, Numerical Algorithms, 2020. HAL, Publication.
• Algorithms for Positive Polynomial Approximation, with Martin Campos Pinto and Bruno Després. SIAM Jounal of Numerical Analysis, 2019. HAL, Publication.

Autres

• An Efficient Kinetic Model for Assemblies of Amyloid Fibrils and Its Application to Polyglutamine Aggregation, with S. Prigent, A. Ballesta, P. Gabriel, L.M. Tine, H. Rezaei and M. Doumic. Plos One, 2012. HAL.
• Label structured cell proliferation models, with H.T. Banks, M. Doumic, K.L. Sutton, W.C. Thompson. Appl. Math. Lett., Vol. 23, No. 12, 1412--1415, 2010. HAL.

Doctorat et HDR

• Habilitation à diriger des recherches soutenue le 11 janvier 2021 : Développement de modèles et analyse de méthodes numériques pour des problèmes cinétiques issus de la physique des plasmas et des écoulements gaz-particules. Manuscrit, slides de soutenance.
• Thèse de doctorat soutenue le 29 Novembre 2009 : Modélisation mathématique et étude numérique d'un aérosol dans un gaz raréfié. Application à la simulation du transport de particules de poussière en cas d'accident de perte de vide dans ITER . Slides de soutenance. Plus de détails : voir ici