World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
4212
World Ranking
3332
National Ranking
203

Francis Filbet publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Francis Filbet sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 126 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Francis Filbet D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Francis Filbet sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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