Thomas Rey Professeur des UniversitésLaboratoire J.A. DieudonnéUniversité Côte d'Azur

Publications

Article dans une revue (20)

Continuous limits of large plant-pollinator random networks and some applications Sylvain Billiard,Hélène Leman,Thomas Rey,Viet-Chi Tran MathematicS In Action, 2025 Article dans une revue hal-03525607v3
Discrete hypocoercivity for a nonlinear kinetic reaction model Marianne Bessemoulin-Chatard,Tino Laidin,Thomas Rey IMA Journal of Numerical Analysis, In press, 45 (4), pp.2204-2247. ⟨10.1093/imanum/drae058⟩ Article dans une revue hal-04494454v1
On Deterministic Numerical Methods for the quantum Boltzmann-Nordheim Equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation Alexandre Mouton,Thomas Rey Journal of Computational Physics, 2023, 488, pp.112197. ⟨10.1016/j.jcp.2023.112197⟩ Article dans une revue hal-03395448v1
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation Lorenzo Pareschi,Thomas Rey SIAM Journal on Numerical Analysis, 2022, 60 (6), pp.3216-3240. ⟨10.1137/21M1423452⟩ Article dans une revue hal-03239753v1
Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures Rafael Bailo,Thomas Rey Journal of Computational Physics, 2022, 458, pp.111082. ⟨10.1016/j.jcp.2022.111082⟩ Article dans une revue hal-03262587v1
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation Lorenzo Pareschi,Thomas Rey Applied Mathematics Letters, 2021, 120, pp.107187. ⟨10.1016/j.aml.2021.107187⟩ Article dans une revue hal-03000138v1
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations Marianne Bessemoulin-Chatard,Maxime Herda,Thomas Rey Mathematics of Computation, 2020, 89, pp.1093-1133. ⟨10.1090/mcom/3490⟩ Article dans une revue hal-01957832v2
Convergence of knowledge in a stochastic cultural evolution model with population structure, social learning and credibility biases Sylvain Billiard,Maxime Derex,Ludovic Maisonneuve,Thomas Rey Mathematical Models and Methods in Applied Sciences, 2020, 30 (14), pp.2691-2723. ⟨10.1142/S0218202520500529⟩ Article dans une revue hal-02357188v2
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations Ward Melis,Thomas Rey,Giovanni Samaey SMAI Journal of Computational Mathematics, 2019, 5, pp.53-88. ⟨10.5802/smai-jcm.43⟩ Article dans une revue hal-01666346v1
An efficient numerical method for solving the Boltzmann equation in multidimensions Giacomo Dimarco,Raphaël Loubère,Jacek Narski,Thomas Rey Journal of Computational Physics, 2018, 353, pp.46-81. ⟨10.1016/j.jcp.2017.10.010⟩ Article dans une revue hal-01357112v1
Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 Pierre-Emmanuel Jabin,Thomas Rey Quarterly of Applied Mathematics, 2017, 75, pp.155-179. ⟨10.1090/qam/1442⟩ Article dans une revue hal-01279961v1
Residual equilibrium schemes for time dependent partial differential equations Lorenzo Pareschi,Thomas Rey Computers and Fluids, 2017, ⟨10.1016/j.compfluid.2017.07.013⟩ Article dans une revue hal-01270297v1
An Exact Rescaling Velocity Method for some Kinetic Flocking Models Thomas Rey,Changhui Tan SIAM Journal on Numerical Analysis, 2016, 54 (2), pp.641-664. ⟨10.1137/140993430⟩ Article dans une revue hal-01078298v2
Towards an $H$-theorem for granular gases Maria Isabel Garcia de Soria,Pablo Maynar,Stéphane Mischler,Clément Mouhot,Thomas Reyet al. Journal of Statistical Mechanics: Theory and Experiment, 2015, 2015, pp.P11009. ⟨10.1088/1742-5468/2015/11/P11009⟩ Article dans une revue hal-01242931v1
On steady-state preserving spectral methods for homogeneous Boltzmann equations Francis Filbet,Lorenzo Pareschi,Thomas Rey Comptes Rendus. Mathématique, 2015, 353 (4), pp.309-314. ⟨10.1016/j.crma.2015.01.015⟩ Article dans une revue hal-01053930v1
A hierarchy of hybrid numerical methods for multi-scale kinetic equations Francis Filbet,Thomas Rey SIAM Journal on Scientific Computing, 2015, 37 (3), pp.A1218-A1247. ⟨10.1137/140958773⟩ Article dans une revue hal-00951980v1
Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation Thomas Rey,Giuseppe Toscani SIAM Journal on Applied Mathematics, 2013, 73 (4), pp.1416-1438. ⟨10.1137/120876290⟩ Article dans une revue hal-00694908v2
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation Clément Mouhot,Lorenzo Pareschi,Thomas Rey ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (5), pp.1515-1531. ⟨10.1051/m2an/2013078⟩ Article dans une revue hal-00661151v2
A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media Francis Filbet,Thomas Rey Journal of Computational Physics, 2013, 248, pp.177-199. ⟨10.1016/j.jcp.2013.04.023⟩ Article dans une revue hal-00690598v3
Blow up Analysis for Anomalous Granular Gases Thomas Rey SIAM Journal on Mathematical Analysis, 2012, 44 (3), pp. 1544-1561. ⟨10.1137/110835645⟩ Article dans une revue hal-00588970v3

Communication dans un congrès (3)

Hybrid Kinetic/Fluid numerical method for the Vlasov-Poisson-BGK equation in the diffusive scaling Tino Laidin,Thomas Rey FVCA 10 - 2023 - International Conference on Finite Volumes for Complex Applications X, Oct 2023, Strasbourg, France. pp.229-237, ⟨10.1007/978-3-031-40860-1_24⟩ Communication dans un congrès hal-04023578v2
Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions Anissa El Keurti,Thomas Rey International Conference on Finite Volumes for Complex Applications, Jun 2020, Bergen, Norway. ⟨10.1007/978-3-030-43651-3_20⟩ Communication dans un congrès hal-02408246v1
Projective integration for nonlinear BGK kinetic equations Ward Melis,Thomas Rey,Giovanni Samaey Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.155-162, ⟨10.1007/978-3-319-57394-6⟩ Communication dans un congrès hal-01451580v1

Chapitre d'ouvrage (1)

Recent development in kinetic theory of granular materials: analysis and numerical methods José Carrillo,Jingwei Hu,Zheng Ma,Thomas Rey Giacomo Albi; Sara Merino-Aceituno; Alessia Nota; Mattia Zanella. Trails in Kinetic Theory, Springer, pp.1-36, 2021, SEMA SIMAI Springer Series, 978-3-030-67103-7. ⟨10.1007/978-3-030-67104-4_1⟩ Chapitre d'ouvrage hal-02460375v1

Pré-publication, Document de travail (7)

A Parareal in time numerical method for the collisional Vlasov equation in the hyperbolic scaling Tino Laidin,Thomas Rey 2025 Pré-publication, Document de travail hal-04929730v1
Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation Gabriella Puppo,Thomas Rey,Tommaso Tenna 2025 Pré-publication, Document de travail hal-05115202v1
Discrete $H$-theorem for a finite volume discretization of a nonlinear kinetic system: application to hypocoercivity Marianne Bessemoulin-Chatard,Tino Laidin,Thomas Rey 2025 Pré-publication, Document de travail hal-05369620v1
High-Order Asymptotic-Preserving IMEX schemes for an ES-BGK model for Gas Mixtures Domenico Caparello,Lorenzo Pareschi,Thomas Rey 2025 Pré-publication, Document de travail hal-05385222v1
Hierarchical dynamic domain decomposition for the multiscale Boltzmann equation Domenico Caparello,Lorenzo Pareschi,Thomas Rey 2025 Pré-publication, Document de travail hal-05057640v2
The Boltzmann equation for a multi-species inelastic mixture Thomas Rey,Tommaso Tenna 2024 Pré-publication, Document de travail hal-04748574v1
A Spectral Study of the Linearized Boltzmann Equation for Diffusively Excited Granular Media Thomas Rey 2013 Pré-publication, Document de travail hal-03516859v1

Thèse (1)

Quelques contributions à l'analyse mathématique et numérique d'équations cinétiques collisionnelles Thomas Rey Théorie spectrale [math.SP]. Université Claude Bernard - Lyon I, 2012. Français. ⟨NNT : 2012LYO10138⟩ Thèse tel-00738709v2

HDR (2)

Contributions to the Mathematical and Numerical Analysis of Multiscale Kinetic Equations Thomas Rey Numerical Analysis [math.NA]. Université de Lille, 2023 HDR tel-04032898v1
Habilitation à diriger des recherches Thomas Rey Biologie végétale. Université toulouse 3 Paul Sabatier, 2021 HDR tel-04748243v1

Logiciel (1)

KINEBEC - Numerical simulation of Boltzmann-Nordheim equation Alexandre Mouton,Thomas Rey 2021, ⟨swh:1:dir:7fe30a7f2000e428017805003dee352f95b877ba;origin=https://hal.archives-ouvertes.fr/hal-03464411;visit=swh:1:snp:25f26c730a7673ba183f92abd767d501716332ff;anchor=swh:1:rel:97d086f20d7c60fdd7fddbb656101e22d990311a;path=/⟩ Logiciel hal-03464411v1