Výsledky vyhledávání - "Hélène Hivert"

A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium

Autor: Isabelle Tristani, Hélène Hivert, Maxime Herda, Nathalie Ayi

Publikováno v: Comptes Rendus. Mathématique

In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy-Fokker-Planck equation, for which we adapt hypocoercivity techniques in order

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28bbabdf52cda00abf5881bf985ff5f3
https://hal.archives-ouvertes.fr/hal-02389146v2/document

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Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches

Autor: Sylvie Méléard, Anna Melnykova, Samuel Nordmann, Hélène Hivert, Vincent Calvez, Susely Figueroa Iglesias

Publikováno v: ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, 2020, CEMRACS 2018-Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, 67, pp.135-160. ⟨10.1051/proc/202067009⟩
ESAIM: Proceedings and Surveys, Vol 67, Pp 135-160 (2020)
ESAIM: Proceedings and Surveys, EDP Sciences, 2020, CEMRACS 2018-Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, 67, pp.135-160. ⟨10.1051/proc/202067009⟩

International audience; Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to their offspring. Consistent experimental evidenc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5c63a7240921a8c3c089393d0bc663c
http://arxiv.org/abs/1906.11679

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Numerical schemes for the aggregation equation with pointy potentials

Autor: François Delarue, Sofiane Martel, Frédéric Lagoutière, Kévin Le Balc'h, Hélène Hivert, Nicolas Vauchelet, Benoît Fabrèges

Publikováno v: ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, EDP Sciences, 2019, ⟨10.1051/proc/201965384⟩
ESAIM: Proceedings and Surveys, Vol 65, Pp 384-400 (2019)
ESAIM: Proceedings and Surveys, 2019, ⟨10.1051/proc/201965384⟩

International audience; The aggregation equation is a nonlocal and nonlinear conservation law commonly used to describe the collective motion of individuals interacting together. When interacting potentials are pointy, it is now well established that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f50bf2778b0721635901bd4605dc739a
https://hal.archives-ouvertes.fr/hal-01788050

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Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part I: The Case of Heavy-Tailed Equilibrium

Autor: Mohammed Lemou, Hélène Hivert, Nicolas Crouseilles

Publikováno v: SIAM Journal on Scientific Computing. 38:A737-A764

In this work, we propose some numerical schemes for linear kinetic equations in the anomalous diffusion limit. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale the small mean

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fbf9d9cfa2ba65a632be3499d2a2a2a3
https://doi.org/10.1137/15m1011366

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Study of a depressurisation process at low Mach number in a nuclear reactor core

Autor: Andrea Bondesan, Vanessa Lleras, Yohan Penel, Hélène Hivert, Jonathan Jung, Stéphane Dellacherie, Colin Mietka

Publikováno v: ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, EDP Sciences, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.41-60. ⟨10.1051/proc/201655041⟩
ESAIM: Proceedings and Surveys, Vol 55, Pp 41-60 (2016)
ESAIM: Proceedings and Surveys, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.41-60. ⟨10.1051/proc/201655041⟩
ESAIM: Proceedings and surveys
CEMRACS 2015: Coupling multi-physics models involving fluids
Emmanuel Frénod; Emmanuel Maitre; Antoine Rousseau; Stéphanie Salmon ; Marcela Szopos CEMRACS 2015: Coupling multi-physics models involving fluids, Jul 2015, Marseille, France. EDP Sciences, ESAIM: Proceedings and surveys, 55, pp.41-60, 2016, 〈10.1051/proc/201655041〉

International audience; This paper deals with the numerical treatment of two additional terms in the Lmnc-system derived and studied in previous publications and modelling the coolant in a nuclear reactor core. On the one hand, we investigate the inf

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5ced4706f7a1c2e6da9a5390929990c
https://hal.archives-ouvertes.fr/hal-01258397/file/proc_diploma.pdf

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Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: degenerate collision frequency

Autor: Mohammed Lemou, Hélène Hivert, Nicolas Crouseilles

Publikováno v: SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, 2016, 38 (4)
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2016, 38 (4)

In this work, which is the continuation of [SIAM J. Sci. Comput., 38 (2016), pp. A737--A764], we propose numerical schemes for linear kinetic equations which are able to deal with the fractional diffusion limit. When the collision frequency degenerat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65c24c7b9500c7d381c1c322943f3246
https://inria.hal.science/hal-01245312/file/chl-part2.pdf

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Numerical schemes for kinetic equation with diffusion limit and anomalous time scale

Autor: Hélène Hivert

In this work, we propose numerical schemes for linear kinetic equation, which are able to deal with a diffusion limit and an anomalous time scale of the form \begin{document}${\varepsilon ^2}\left( {1 + \left| {\ln \left( \varepsilon \right)} \right|

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9ee43351f1cccab8f8389e83b2fac95
https://hal.science/hal-01389100

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Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit

Autor: Nicolas Crouseilles, Mohammed Lemou, Hélène Hivert

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, 353 (8), pp.755-760. ⟨10.1016/j.crma.2015.05.003⟩
Comptes Rendus Mathématique
Comptes Rendus Mathématique, Elsevier Masson, 2015, 353 (8), pp.755-760. 〈10.1016/j.crma.2015.05.003〉
Comptes Rendus. Mathématique, 2015, 353 (8), pp.755-760. ⟨10.1016/j.crma.2015.05.003⟩

We construct numerical schemes to solve kinetic equations with anomalous diffusion scaling. When the equilibrium is heavy-tailed or when the collision frequency degenerates for small velocities, an appropriate scaling should be made and the limit mod

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59e18b9a2b78444b11ad7302b98e0c0a
http://arxiv.org/abs/1505.03250

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A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium

Autor: Ayi, Nathalie, Herda, Maxime, Hivert, Hélène, Tristani, Isabelle

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, 2020, 358 (3), pp.333-340. ⟨10.5802/crmath.46⟩
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2020, 358 (3), pp.333-340. ⟨10.5802/crmath.46⟩

International audience; In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy-Fokker-Planck equation, for which we adapt hypocoerciv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::10e3f24d3ecefd0bdf9309482938cfc9
https://hal.science/hal-02389146

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