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. An efficient numerical method for solving the Boltzmann equation in multidimensions, with Giacomo Dimarco, Raphaël Loubère, Jacek Narski.
  2. Residual equilibrium schemes for time dependent partial differential equations , with L. Pareschi.
  3. A Spectral Study of the Linearized Boltzmann Equation for Diffusively Excited Granular Media, in revision.
  4. Projective Integration for Nonlinear BGK Kinetic Equations, with W. Melis W. and G. Samaey G. (2017) . In: Finite Volumes for Complex Applications VIII – Hyperbolic, Elliptic and Parabolic Problems. DOI 10.1007/978-3-319-57394-6_16.
  5. Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 , with P-E. Jabin. Quart. Appl. Math. (2016). DOI 10.1090/qam/1442.
  6. 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.
  7. 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.
  8. 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.
  9. 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, April 2015, Pages 309–314. DOI 10.1016/j.crma.2015.01.015.
  10. Large-time behavior of the solutions to Rosenau type approximations to the heat equation, with Giuseppe Toscani, SIAM J. App. Math, 73,4 (2013), pp. 1416-1438. DOI: 10.1137/120876290
  11. 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
  12. 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 (September 2013), pp. 1515–1531. DOI: 10.1051/m2an/2013078
  13. Blow Up Analysis for Anomalous Granular Gases, SIAM J. Math. Anal., 44, 3 (2012), pp. 1544-1561. DOI: 10.1137/110835645

In french:

Scientific Poster: