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Mathematics

D-Index
31
Citations
4212
World Ranking
3331
National Ranking
203

Overview

Francis Filbet is a researcher affiliated with the Toulouse Mathematics Institute in France. Their work primarily spans the fields of mathematics, physics and astronomy, and engineering, with significant contributions to applied mathematics, computational mechanics, and statistical and nonlinear physics.

Their research focuses on topics including gas dynamics and kinetic theory, computational fluid dynamics and aerodynamics, fluid dynamics and turbulent flows, magnetic confinement fusion research, advanced numerical methods in computational mathematics, theoretical and computational physics, and statistical mechanics and entropy.

Francis Filbet has published extensively, with a noticeable presence in venues such as arXiv (Cornell University), Journal of Computational Physics, Numerische Mathematik, Communications on Applied Mathematics and Computation, and the SIAM Journal on Mathematical Analysis.

Recent papers include:

  • Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System, 2020, Communications on Applied Mathematics and Computation
  • Fokker-Planck multi-species equations in the adiabatic asymptotics, 2022, Journal of Computational Physics
  • Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas, 2021, Numerische Mathematik
  • Concentration Phenomena in Fitzhugh-Nagumo Equations: A Mesoscopic Approach, 2023, SIAM Journal on Mathematical Analysis
  • On a discrete framework of hypocoercivity for kinetic equations, 2023, Mathematics of Computation

Frequent collaborators in their research include Alain Blaustein, L. Miguel Rodrigues, Hamed Zakerzadeh, Marianne Bessemoulin-Chatard, and Tao Xiong.

Best Publications

  • Conservative numerical schemes for the Vlasov equation

    Francis Filbet;Eric Sonnendrücker;Pierre Bertrand

  • Comparison of Eulerian Vlasov solvers

    Francis Filbet;Eric Sonnendrücker

  • A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

    Francis Filbet;Shi Jin

  • Derivation of hyperbolic models for chemosensitive movement

    Francis Filbet;Philippe Laurençot;Benoît Perthame

  • Numerical Simulation of the Smoluchowski Coagulation Equation

    Francis Filbet;Philippe Laurençot

  • A finite volume scheme for the Patlak–Keller–Segel chemotaxis model

    Francis Filbet

  • Solving the Boltzmann Equation in N log 2 N

    Francis Filbet;Clément Mouhot;Lorenzo Pareschi

  • High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations

    Sebastiano Boscarino;Francis Filbet;Giovanni Russo

  • A FINITE VOLUME SCHEME FOR NONLINEAR DEGENERATE PARABOLIC EQUATIONS

    Marianne Bessemoulin-Chatard;Francis Filbet

  • High order numerical methods for the space non-homogeneous Boltzmann equation

    Francis Filbet;Giovanni Russo

  • A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

    Francis Filbet;Lorenzo Pareschi;Lorenzo Pareschi

  • An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation

    Francis Filbet;Shi Jin

  • On discrete functional inequalities for some finite volume schemes

    Marianne Bessemoulin-Chatard;Claire Chainais-Hillairet;Francis Filbet

  • Convergence of a finite volume scheme for coagulation-fragmentation equations

    Jean-Pierre Bourgade;Francis Filbet

  • Solving the Boltzmann equation in N log N

    Francis Filbet;Clément Mouhot;Lorenzo Pareschi

  • A NUMERICAL SCHEME FOR THE QUANTUM BOLTZMANN EQUATION WITH STIFF COLLISION TERMS

    Francis Filbet;Jingwei Hu;Jingwei Hu;Shi Jin

  • Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics

    Giovanni Russo;Francis Filbet

  • Analysis of spectral methods for the homogeneous Boltzmann equation

    Francis Filbet;Clément Mouhot;Clément Mouhot

  • Numerical approximation of collisional plasmas by high order methods

    Nicolas Crouseilles;Francis Filbet

  • Modeling and Numerical Simulation of Space Charge Dominated Beams in the Paraxial Approximation

    Francis Filbet;Eric Sonnendrücker

  • Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field

    Francis Filbet;Luis Miguel Rodrigues

  • Approximation of Hyperbolic Models for Chemosensitive Movement

    Francis Filbet;Chi-Wang Shu

  • An Asymptotic Preserving Scheme for the ES-BGK model

    Francis Filbet;Shi Jin

Frequent Co-Authors

Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University
Clément Mouhot
Clément Mouhot University of Cambridge
Giovanni Russo
Giovanni Russo University of Catania
Shi Jin
Shi Jin Shanghai Jiao Tong University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Chi-Wang Shu
Chi-Wang Shu Brown University
José A. Carrillo
José A. Carrillo University of Oxford
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Yan Guo
Yan Guo Brown University
Giuseppe Toscani
Giuseppe Toscani University of Pavia

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