Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Lafitte, Pauline"'
Autor:
Belin, Théo, Lafitte, Pauline
In this work, we obtain quantitative estimates of the continuity constant for the $L^p$ maximal regularity of relatively continuous nonautonomous operators $\mathbb{A} : I \longrightarrow \mathcal{L}(D,X)$, where $D \subset X$ densely and compactly.
Externí odkaz:
http://arxiv.org/abs/2403.00386
Autor:
Dujardin, Guillaume, Lafitte, Pauline
This manuscript deals with the analysis of numerical methods for the full discretization (in time and space) of the linear heat equation with Neumann boundary conditions, and it provides the reader with error estimates that are uniform in time. First
Externí odkaz:
http://arxiv.org/abs/2312.00058
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Chapman-Enskog expansions and analyse the shock profile structure for su
Externí odkaz:
http://arxiv.org/abs/2306.01330
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 470 Part A
Autor:
Lusardi, Léo, André, Eliot, Castañeda, Irene, Lemler, Sarah, Lafitte, Pauline, Zarzoso-Lacoste, Diane, Bonnaud, Elsa
Publikováno v:
In Ecological Modelling July 2024 493
In this article, we propose and study several discrete versions of homogeneous and inhomogeneous one-dimensional Fokker-Planck equations. In particular, for these discretizations of velocity and space, we prove the exponential convergence to the equi
Externí odkaz:
http://arxiv.org/abs/1802.02173
Autor:
Al-Taki Bilal, Atsou Kevin, Casanova Jean-Jéróme, Goudon Thierry, Lafitte Pauline, Lagoutière Frédéric, Minjeaud Sebastian
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 70, Pp 1-13 (2021)
In this paper we write, analyze and experimentally compare three different numerical schemes dedicated to the one dimensional barotropic Navier-Stokes equations: a staggered scheme based on the Rusanov one for the inviscid (Euler) system,a staggered
Externí odkaz:
https://doaj.org/article/34de5b69db8048ec837aa534b1a879f9
Autor:
Dujardin, Guillaume, Lafitte, Pauline
This paper deals with the numerical integration of well-posed multiscale systems of ODEs or evolutionary PDEs. As these systems appear naturally in engineering problems, time-subcycling techniques are widely used every day to improve computational ef
Externí odkaz:
http://arxiv.org/abs/1410.3064
We present a general, high-order, fully explicit relaxation scheme which can be applied to any system of nonlinear hyperbolic conservation laws in multiple dimensions. The scheme consists of two steps. In a first (relaxation) step, the nonlinear hype
Externí odkaz:
http://arxiv.org/abs/1406.4305
We investigate a high-order, fully explicit, asymptotic-preserving scheme for a kinetic equation with linear relaxation, both in the hydrodynamic and diffusive scalings in which a hyperbolic, resp. parabolic, limiting equation exists. The scheme firs
Externí odkaz:
http://arxiv.org/abs/1404.6104