Publications
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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)
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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)
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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]