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Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation
The homogeneous Fokker–Planck–Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function de-... -
High order numerical schemes in space and time for solving the wave equation
My work consists in developing some high order numerical schemes in time and space for the modeling of the wave propagation. We have proposed to first discretize the... -
A tetrahedral-based superconvergent scheme for aeroacoustics
We describe a numerical scheme for hyperbolics well adapted to both aerodynamics and aeroacoustics. The scheme is vertex centered, It applies with second order... -
Spurious lattice solitons for linear finite difference schemes
The goal of this work is to show that lattice solitons are solution of the general linear finite-differenced version of the linear advection equation. The occurance of... -
An energy concept for macroscopic traffic flow modeling
International audience -
An energy concept for macroscopic traffic flow modelling
International audience -
Development of decoupled numerical scheme in solving dynamical systems on par...
In this thesis, we are interested in parallelization algorithm for solving dynamical systems. Many industrial applications nowadays lead to large systems of huge... -
Stability of leap-frog constant-coefficientssemi-implicit schemes for the ful...
Accepted in Monthly Weather Review (2003/11/20) -
A multiscale study of stochastic spatially-extended conductance-based models ...
The purpose of the present thesis is the mathematical study of probabilistic models for the generation and propagation of an action potential in neurons and more... -
Conservative numerical schemes for the radial Vlasov-Poisson system: stabilit...
In this paper, we build numerical conservative schemes for the radial Vlasov-Poisson system in order to observe the behavior of solutions around steady states. These... -
Couplages instationnaires de la vapeur humide dans les écoulements de turbine...
In addition to conventional turbomachinery problems, both the behavior and performances of steam turbines are highly dependent on the vapour thermodynamic state and...
