Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Francis Filbet"'
Autor:
Alain Blaustein, Francis Filbet
Publikováno v:
SIAM Journal on Mathematical Analysis. 55:367-404
Autor:
Francis Filbet, Joachim Crevat
Publikováno v:
BIT Numerical Mathematics
BIT Numerical Mathematics, Springer Verlag, 2021, ⟨10.1007/s10543-021-00844-5⟩
BIT Numerical Mathematics, 2021, ⟨10.1007/s10543-021-00844-5⟩
BIT Numerical Mathematics, Springer Verlag, 2021, ⟨10.1007/s10543-021-00844-5⟩
BIT Numerical Mathematics, 2021, ⟨10.1007/s10543-021-00844-5⟩
International audience; This paper is devoted to the numerical approximation of the spatially-extended FitzHugh-Nagumo transport equation with strong local interactions based on a particle method. In this regime, the time step can be subject to stabi
Publikováno v:
Numerische Mathematik
Numerische Mathematik, 2021, 149 (3), pp.549-593. ⟨10.1007/s00211-021-01248-x⟩
Numerische Mathematik, Springer Verlag, 2021, ⟨10.1007/s00211-021-01248-x⟩
Numerische Mathematik, 2021, 149 (3), pp.549-593. ⟨10.1007/s00211-021-01248-x⟩
Numerische Mathematik, Springer Verlag, 2021, ⟨10.1007/s00211-021-01248-x⟩
International audience; The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes [Filbet & Rodrigues, SIAM J. Numer. Anal., 54 (2) (2016)] for the Vlasov equation with a strong external magnetic fi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f44d66c5319adea8204304a2ecfd0334
https://hal.science/hal-02510283
https://hal.science/hal-02510283
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, Elsevier, In press
Journal of Computational Physics, In press, ⟨10.1016/j.jcp.2021.110881⟩
Journal of Computational Physics, Elsevier, In press
Journal of Computational Physics, In press, ⟨10.1016/j.jcp.2021.110881⟩
We study a class of spatial discretizations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials. In particular, we focus on spectral methods and discontinuous Galerkin approximations. To obtain L 2 stability proper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5653055be94850aed68163e00a161ead
Publikováno v:
Numerische Mathematik
Numerische Mathematik, 2020, 145, pp.473-511
Numerische Mathematik, 2020, 145, pp.473-511
In this work we present the convergence of a positivity preserving semi-discrete finite volume scheme for a coupled system of two non-local partial differential equations with cross-diffusion. The key to proving the convergence result is to establish
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3308634048501ba9d86db92d8aa452f
https://ora.ox.ac.uk/objects/uuid:7cf911f2-1f40-499b-85d6-9e60e8bdbc4c
https://ora.ox.ac.uk/objects/uuid:7cf911f2-1f40-499b-85d6-9e60e8bdbc4c
Autor:
Francis Filbet, L. Miguel Rodrigues
Publikováno v:
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, 2020, 7, pp.1009-1067. ⟨10.5802/jep.134⟩
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2020, 7, pp.1009-1067. ⟨10.5802/jep.134⟩
Journal de l'École polytechnique — Mathématiques, 2020, 7, pp.1009-1067. ⟨10.5802/jep.134⟩
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2020, 7, pp.1009-1067. ⟨10.5802/jep.134⟩
International audience; We study the asymptotic behavior of solutions to the Vlasov equation in the presence of a strong external magnetic field. In particular we provide a mathematically rigorous derivation of the guiding-center approximation in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8f0af9c7956c5af692748a4b342a8e7
https://hal.science/hal-01933746v3/file/3D-full-asymptotics_revision.pdf
https://hal.science/hal-01933746v3/file/3D-full-asymptotics_revision.pdf
Autor:
Francis Filbet, Maxime Herda
Publikováno v:
Numerische Mathematik
Numerische Mathematik, Springer Verlag, 2017
Numerische Mathematik, 2017
Numerische Mathematik, Springer Verlag, 2017
Numerische Mathematik, 2017
International audience; We propose a finite volume scheme for a class of nonlinear parabolic equations endowed with non-homogeneous Dirichlet boundary conditions and which admit relative en-tropy functionals. For this kind of models including porous
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2019
SIAM Journal on Mathematical Analysis, 2019
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2019
SIAM Journal on Mathematical Analysis, 2019
International audience; We introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a04ab96e808dd402b77ecabb7c1ac042
https://hal.archives-ouvertes.fr/hal-01757580v2/file/limhydFHNCFFv1.pdf
https://hal.archives-ouvertes.fr/hal-01757580v2/file/limhydFHNCFFv1.pdf
Publikováno v:
Journal of Scientific Computing
Journal of Scientific Computing, Springer Verlag, 2016, 68, pp. 975-1001
Journal of Scientific Computing, 2016, 68, pp. 975-1001
Journal of Scientific Computing, Springer Verlag, 2016, 68, pp. 975-1001
Journal of Scientific Computing, 2016, 68, pp. 975-1001
International audience; The main purpose of the paper is to show how to use implicit-explicit (IMEX) Runge- Kutta methods in a much more general context than usually found in the literature, obtaining very effective schemes for a large class of probl
Publikováno v:
SIAM Journal on Applied Mathematics
This paper establishes the long time asymptotic limit of the $2d\times 3d$ Vlasov--Maxwell system with a strong external magnetic field. Hence, a guiding-center approximation is obtained in the two-dimensional case with a self-consistent electromagne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eee48e153af29c9ef236cebbe8b6102b
https://hdl.handle.net/21.11116/0000-0001-4943-2
https://hdl.handle.net/21.11116/0000-0001-4943-2