19 citations · 62 across the 8 of their papers we have counts for
10 papers
Main topics of the NumHyp-2015' discussion session
Denys Dutykh, Laurent Gosse
Three main topics were raised in this discussion session, which took place on the 19th of June at the NumHyp-2015 meeting: nonlinear resonance for 1D systems of balance laws, dispe…
A well-balanced scheme for chemotactic travelling waves at the mesoscopic scale
Vincent Calvez, Laurent Gosse, Monika Twarogowska
We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equati…
Concentration waves of chemotactic bacteria: the discrete velocity case
Vincent Calvez, Laurent Gosse, Monika Twarogowska
The existence of travelling waves for a coupled system of hyperbolic/ parabolic equations is established in the case of a finite number of velocities in the kinetic equation. This…
Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting
Laurent Gosse, Nicolas Vauchelet
This paper is concerned with diffusive approximations of peculiar numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applic…
Time--Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System
Laurent Gosse
Several singular limits are investigated in the context of a system arising for instance in the modeling of chromatographic processes. In particular, we focus on the c…
Resolution of the finite Markov moment problem
Laurent Gosse, Olof Runborg
We expose in full detail a constructive procedure to invert the so--called "finite Markov moment problem". The proofs rely on the general theory of Toeplitz matrices together with…