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Thomas Rey

Professeur des Universités Laboratoire J.A. Dieudonné Université Côte d'Azur
27
Documents

Domaines de recherche

Equations aux dérivées partielles [math.AP] Mathématiques [math]

Publications

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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
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Continuous limits of large plant-pollinator random networks and some applications

Sylvain Billiard , Hélène Leman , Thomas Rey , Viet-Chi Tran
MathematicS In Action, inPress
Article dans une revue hal-03525607v2
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Towards an $H$-theorem for granular gases

Maria Isabel Garcia de Soria , Pablo Maynar , Stéphane Mischler , Clément Mouhot , Thomas Rey
Journal of Statistical Mechanics: Theory and Experiment, 2015, 2015, pp.P11009. ⟨10.1088/1742-5468/2015/11/P11009⟩
Article dans une revue hal-01242931v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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