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ANR project: Code decision (reference) : ANR-17-CE40-0027
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A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model

Clément Cancès , Claire Chainais-Hillairet , Jürgen Fuhrmann , Benoît Gaudeul
IMA Journal of Numerical Analysis, 2021, 41 (1), pp.271-314. ⟨10.1093/imanum/draa002⟩
Journal articles hal-02194604v3
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Hybrid Kinetic/Fluid numerical method for the Vlasov-BGK equation in the diffusive scaling

Tino Laidin
Kinetic and Related Models , 2023, ⟨10.3934/krm.2023013⟩
Journal articles hal-03560784v2
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Analysis of numerical schemes for semiconductors energy-transport models

Marianne Bessemoulin-Chatard , Claire Chainais-Hillairet , Hélène Mathis
Applied Numerical Mathematics, 2021, 168, pp.143-169. ⟨10.1016/j.apnum.2021.05.030⟩
Journal articles hal-02940224v2
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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⟩
Book sections hal-02460375v1
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Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling

Anaïs Crestetto , Nicolas Crouseilles , Giacomo Dimarco , Mohammed Lemou
Journal of Computational Physics, 2019, 394, pp.243-262. ⟨10.1016/⟩
Journal articles hal-01849671v2
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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⟩
Journal articles hal-03239753v1
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Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches

Claire Chainais-Hillairet , Maxime Herda , Simon Lemaire , Julien Moatti
Numerische Mathematik, 2022, 151, pp.963-1016. ⟨10.1007/s00211-022-01289-w⟩
Journal articles hal-03281500v2
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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, In press
Journal articles hal-03525607v2
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Convergence rate of an asymptotic preserving scheme for the diffusive limit of the p-system with damping

Solène Bulteau , Christophe Berthon , Marianne Chatard Bessemoulin-Chatard
Communications in Mathematical Sciences, In press
Journal articles hal-01895417v1
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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⟩
Conference papers hal-02408246v1
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A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation

Anaïs Crestetto , Nicolas Crouseilles , Giacomo Dimarco , Mohammed Lemou
Communications in Mathematical Sciences, 2020, 18 (8), pp.2305-2339. ⟨10.4310/CMS.2020.v18.n8.a10⟩
Journal articles hal-02413232v1
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On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system

Marianne Bessemoulin-Chatard , Francis Filbet
SIAM Journal on Numerical Analysis, 2023, 61 (4), pp.1664-1688. ⟨10.1137/22M1518232⟩
Journal articles hal-03760711v2
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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⟩
Journal articles hal-01957832v2
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Large time behavior of nonlinear finite volume schemes for convection-diffusion equations

Clément Cancès , Claire Chainais-Hillairet , Maxime Herda , Stella Krell
SIAM Journal on Numerical Analysis, 2020, 58 (5), pp.2544-2571. ⟨10.1137/19M1299311⟩
Journal articles hal-02360155v2
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A stable fixed point method for the numerical simulation of a kinetic collisional sheath

Mehdi Badsi , Christophe Berthon , Anaïs Crestetto
Journal of Computational Physics, 2021, ⟨10.1016/⟩
Journal articles hal-02777893v2
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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/⟩
Journal articles hal-03395448v1
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Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion

Clément Cancès , Claire Chainais-Hillairet , Benoît Merlet , Federica Raimondi , Juliette Venel
Zeitschrift für Angewandte Mathematik und Physik, 2023, 74 (3), pp.96. ⟨10.1007/s00033-023-01970-6⟩
Journal articles hal-03549457v2
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A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling

Anaïs Crestetto , Nicolas Crouseilles , Mohammed Lemou
Communications in Mathematical Sciences, 2018, 16 (4), pp.887-911. ⟨10.4310/CMS.2018.v16.n4.a1⟩
Journal articles hal-01439288v2
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A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction

Solène Bulteau , Mehdi Badsi , Christophe Berthon , Marianne Bessemoulin-Chatard
Preprints, Working Papers, ... hal-02479094v2
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On the Stability of Conservative Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov-Poisson System

Marianne Bessemoulin-Chatard , Francis Filbet
Journal of Computational Physics, In press, ⟨10.1016/⟩
Journal articles hal-03259688v3
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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⟩
Journal articles hal-03000138v1
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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/⟩
Journal articles hal-03262587v1
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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⟩
Journal articles hal-02357188v2