6 papers
A Fokker-Planck approach to the study of robustness in gene expression
Pierre Degond, Maxime Herda, Sepideh Mirrahimi
We study several Fokker-Planck equations arising from a stochastic chemical kinetic system modeling a gene regulatory network in biology. The densities solving the Fokker-Planck eq…
bounds for numerical solutions of noncoercive convection-diffusion equations
Claire Chainais-Hillairet, Maxime Herda
In this work, we apply an iterative energy method à la de Giorgi in order to establish bounds for numerical solutions of noncoercive convection-diffusion equations wit…
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
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-Pl…
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations
Clément Cancès, Claire Chainais-Hillairet, Maxime Herda +1
In this contribution we analyze the large time behavior of a family of nonlinear finite volume schemes for anisotropic convection-diffusion equations set in a bounded bidimensional…
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Marianne Bessemoulin-Chatard, Maxime Herda, Thomas Rey
In this article, we are interested in the asymptotic analysis of a finite volume scheme for one dimensional linear kinetic equations, with either Fokker-Planck or linearized BGK co…
Computation of sum of squares polynomials from data points
Bruno Després, Maxime Herda
We propose an iterative algorithm for the numerical computation of sums of squares of polynomials approximating given data at prescribed interpolation points. The method is based o…