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, in revision for publication in Journal of Computational Physics.
  2. A Spectral Study of the Linearized Boltzmann Equation for Diffusively Excited Granular Media, in revision.

Papers:

  1. Residual equilibrium schemes for time dependent partial differential equations , with L. Pareschi, to appear in Computer and Fluids. DOI 10.1016/j.compfluid.2017.07.013
  2. 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.
  3. Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 , with P-E. Jabin. Quart. Appl. Math. (2016). DOI 10.1090/qam/1442.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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
  9. 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
  10. 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
  11. 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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