Publications

Thesis manuscript:

Quelques contributions à l’analyse mathématique et numérique d’équations cinétiques collisionnelles, (introduction in french, body in english), September 2012, Université Lyon 1.

Preprints:

  1. Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations, with Marianne Bessemoulin-Chatard, Maxime Herda.
  2. MyBinder

  3. Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations, with W. Melis and G. Samaey, in revision for publication in SMAI J. Comput. Math.
  4. A Spectral Study of the Linearized Boltzmann Equation for Diffusively Excited Granular Media, in revision.

Papers:

  1. An efficient numerical method for solving the Boltzmann equation in multidimensions, with G.Dimarco, R. Loubère and J. Narski J. Comput. Phys. 353 (2018), pp. 46-81. DOI 10.1016/j.jcp.2017.10.010.
  2. Residual equilibrium schemes for time dependent partial differential equations , with L. Pareschi. Comput. Fluids 156 (2017), pp: 329-342. DOI 10.1016/j.compfluid.2017.07.013
  3. Projective Integration for Nonlinear BGK Kinetic Equations, with W. Melis W. and G. Samaey (2017). In: Finite Volumes for Complex Applications VIII – Hyperbolic, Elliptic and Parabolic Problems. DOI 10.1007/978-3-319-57394-6_16.
  4. Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 , with P-E. Jabin. Quart. Appl. Math. (2016). DOI 10.1090/qam/1442.
  5. An Exact Rescaling Velocity Method for some Kinetic Flocking Models, with C. Tan, SIAM J. Num. Anal. 54(2), (2016) pp. 641–664. DOI 10.1137/140993430.
  6. H-theorem for granular gases, with M. I. García de Soria, P. Maynar, S. Mischler, C. Mouhot and E. Trizac, J. Stat. Mech. (2015) P11009. DOI 10.1088/1742-5468/2015/11/P11009.
  7. A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations, with F. Filbet, SIAM J. Sci. Comput. 37-3 (2015), pp. A1218-A1247. DOI: 10.1137/140958773.
  8. On steady-state preserving spectral methods for homogeneous Boltzmann equations, with F. Filbet and L. Pareschi, Comptes rendus de l’académie des sciences, Volume 353, Issue 4 (2015), Pages 309–314. DOI 10.1016/j.crma.2015.01.015.
  9. Large-time behavior of the solutions to Rosenau type approximations to the heat equation, with G. Toscani, SIAM J. App. Math, 73,4 (2013), pp. 1416-1438. DOI: 10.1137/120876290
  10. A Rescaling Velocity Method for Dissipative Kinetic Equations – Applications to Granular Media, with F. Filbet, J. Comput. Phys. (2013), 248, pp. 177-199. DOI: 10.1016/j.jcp.2013.04.023
  11. Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation, with C. Mouhot and L. Pareschi, ESAIM: Math. Model. Numer. Anal, 47, 5 (2013), pp. 1515–1531. DOI: 10.1051/m2an/2013078
  12. Blow Up Analysis for Anomalous Granular Gases, SIAM J. Math. Anal., 44, 3 (2012), pp. 1544-1561. DOI: 10.1137/110835645

Report:

  1. Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations, with Marianne Bessemoulin-Chatard, Maxime Herda, Oberwolfach Report No. 56/2018. DOI: 10.4171/OWR/2018/56

In french:

Scientific Poster: