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. Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations, with W. Melis and G. Samaey.
  2. 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

In french:

Scientific Poster:

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