Publications

C. Berthon, M. Bessemoulin-Chatard, A. Crestetto, F. Foucher
A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem
Calcolo, 56, 2019 [hal]
M. Bessemoulin-Chatard, C. Chainais-Hillairet
Uniform-in-time bounds for approximate solutions of the drift-diffusion system
Numer. Math., 141, pp. 881-916, 2019 [hal]
M. Bessemoulin-Chatard, C. Chainais-Hillairet, H. Mathis
Analysis of numerical schemes for semiconductors energy-transport models
APNUM, 168, pp. 143-169, 2021 [hal]
M. Bessemoulin-Chatard, F. Filbet
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
JCP, 451, 2022 [hal]
M. Bessemoulin-Chatard, M. Herda, T. Rey
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Math. of Comp., 89, pp. 1093-1133, 2020 [hal]
Code associé à l'article [lien]
M. Bessemoulin-Chatard, G. Lissoni, H. Mathis
Numerical analysis of DDFV schemes for semiconductors energy-transport models
CAM, 41, 2022 [hal]
S. Billiard, M. Derex, L. Maisonneuve, T. Rey
Convergence of knowledge in a stochastic culturalevolution model with population structure, social learning and credibility biases
M3AS, 30, pp. 2691-2723, 2020 [hal]
S. Bulteau, M. Badsi, C. Berthon, M. Bessemoulin-Chatard
A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction
Calcolo, 58, 2021 [hal]
S. Bulteau, C. Berthon, M. Bessemoulin-Chatard
Convergence rate of an asymptotic preserving scheme for the diffusive limit of the $p$-system with damping
CMS, 17, pp. 1459-1486, 2019 [hal]
C. Cancès, C. Chainais-Hillairet, J. Fuhrmann, B. Gaudeul
A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model
IMA J. Numer. Anal., 41, pp. 271-314, 2021 [hal]
C. Cancès, C. Chainais-Hillairet, M. Herda, S. Krell
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations
SIAM J. Numer. Anal., 58, 2020 [hal]
J. A. Carrillo, J. Hu, Z. Ma, T. Rey
Recent development in kinetic theory of granular materials: analysis and numerical methods
Trails in Kinetic Theory, pp. 1-36, 2021 [hal]
A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou
A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation
Communications in Mathematical Sciences , 18, pp. 2305-2339, 2020 [hal]
A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou
Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling
Journal of Computational Physics, 394, pp. 243-262, 2019 [hal]
A. Crestetto, N. Crouseilles, M. Lemou
A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling
Communications in Mathematical Sciences, 16, pp. 897-911, 2018 [hal]
A. Crestetto, F. Deluzet, D. Doyen
Bridging kinetic plasma descriptions and single fluid models
Journal of Plasma Physics, 86, 2020 [hal]
A. Crestetto, C. Klingenberg, M. Pirner
Kinetic/Fluid micro-macro numerical scheme for a two component plasma
Multiscale Modeling and Simulation, 18, 2020 [hal]
J.-M. Hérard et H. Mathis
A three-phase flow model with two miscible phases
M2AN, 53, pp. 1373-1389, 2019 [hal]
W. Melis, T. Rey, G. Samaey
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
SMAI J. Comput. Math., 5, pp. 53-88, 2019 [hal]
L. Pareschi, T. Rey
On the stability of equilibrium preserving spectral methods for the homogenenous Boltzmann equation
Applied Math. Letters, 120, 2021 [hal]
E. H. Quenjel, M. Saad, M. Ghilani et M. Bessemoulin-Chatard
Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations
Calcolo, 57, 2020 [hal]

Communications (with proceedings)

H. Mathis
A thermodynamically consistent model of a liquid-vapor fluid with a gas
Compressible Multiphase Flows : derivation, closure laws and thermodynamics , Strasbourg, May 2018
T. Rey
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations, Oberwolfach, Germany, December 2018 [pdf]
M. Bessemoulin-Chatard, C. Chainais-Hillairet, H. Mathis
Numerical schemes for semiconductors energy-transport models
Finite Volumes for Complex Applications IX, Bergen, June 2020 [hal]
C. Chainais-Hillairet, M. Herda
L ∞ Bounds for Numerical Solutions of Noncoercive Convection-Diffusion Equations
Finite Volumes for Complex Applications IX, Bergen, June 2020 [hal]
A. El Keurti, T. Rey
Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
Finite Volumes for Complex Applications IX, Bergen, June 2020 [hal]
G. Lissoni
DDFV schemes for semiconductors energy-transport models
Algoritmy 2020, Vysoke Tatry, Podbanske, September 2020 [hal]

Communications (without proceedings)

A. Crestetto
Particle Micro-Macro schemes for collisional kinetic equations in the diffusive scaling
Asymptotic Behavior of systems of PDE arising in physics and biology: theoretical and numerical points of view (ABPDE III), Lille, August 2018
A. Crestetto
Particle Micro-Macro schemes for collisional kinetic equations in the diffusive scaling
Numerical Methods for Multiscale PDEs, Cargèse, September 2018
M. Bessemoulin-Chatard
Analysis of a finite volume scheme discretizing drift-diffusion systems
AMaSiS 2018: Applied Mathematics and Simulation for Semiconductors, Berlin, October 2018
T. Rey
Projective integration of collisional kinetic equations
Trails in kinetic theory: foundational aspects and numerical methods, Bonn, May 2019
A. Crestetto
Micro-macro discretizations for collisional kinetic equations of Boltzmann-BGK type in the diffusive scaling
Qualitative behaviour of kinetic equations and related problems: numerical and theoretical aspects, Bonn, June 2019
M. Bessemoulin-Chatard
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Qualitative behaviour of kinetic equations and related problems: numerical and theoretical aspects, Bonn, June 2019
H. Mathis
A three-phase flow model with two miscible phases
ICIAM 2019, Valence, July 2019
A. Crestetto
Micro-macro discretizations for collisional kinetic equations of Boltzmann-BGK type in the diffusive scaling
Workshop on Multiscale Methods for Deterministic and Stochastic Dynamics, Genève, January 2020
T. Rey
On conservative spectral methods for the Boltzmann equation
British Applied Mathematics Symposium, Glasgow (online), April 2021
T. Rey
An Overview of the Kinetic Theory of Granular Gases: Theory, Numerical Experiments and Open Problems
Conference on Recent Developments in Numerical Kinetic Theory, University of Wisconsin - Madison (online), June 2021
T. Rey
Projective Integration of Nonlinear Collisional Kinetic Equation
Conference on Modelling and Numerical Simulation of Non-Equilibrium Processes, Institute for Mathematical Sciences, Singapour University (online), January 2022
T. Rey
On conservative spectral methods for the Boltzmann equation
Minisymposium on the Challenges in the Kinetic Modeling of Complex Systems, SIAM PD 2022, online, March 2022
M. Bessemoulin-Chatard
Stability and convergence of conservative DG/Hermite methods for the Vlasov-Poisson system
SIAM Conference on Analysis of Partial Differential Equations, online, March 2022

Habilitation manuscript

H. Mathis
Entropie en dynamique des fluides
Université de Nantes, 2020 [hal]