3 citations · 6 across the 7 of their papers we have counts for
7 papers
Multiresolution relaxation times lattice Boltzmann schemes with projection
François Dubois, Paulo Cesar Philippi
We propose to extend the multiresolution relaxation times lattice Boltzmann schemes with an additional projection step. For the explicit example of the D2Q9 scheme, we define this…
A quantum approach for determining a state of the opinion
François Dubois
We propose to define a notion of state of the opinion in order to link politician popularity estimations and voting intentions. We present two ways of modelling: a classical approa…
Concavity of thermostatic entropy and convexity of Lax's mathematical entropy
François Dubois
It is shown that for any real gas in chemical equilibrium, the convexity proposed by Lax isequivalent to the concavity of the entropy considered as thermodynamic potential and thep…
Interception of a bolide ?
François Dubois
We present a review of the literature on the subject of a possible collision between the Earthand a meteorite or comet. We emphasize the global effects when sufficient energy is in…
Riemannian formulation of Pontrygin's principle for robotic manipulators
François Dubois, Hedy César Ramírez-De-{Á}vila, Juan Antonio Rojas-Quintero
In this work, we consider a mechanical system whose mass tensor implements a scalar product in a Riemannian manifold. This system is controlled with the help of forces and torques.…
Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation
Hiroshi Otomo, Bruce M. Boghosian, François Dubois
In this work, we improve the accuracy and stability of the lattice Boltzmann model for the Kuramoto-Sivashinsky equation proposed in \cite{2017_Otomo}. This improvement is achieved…
Homographic scheme for Riccati equation
François Dubois, Abdelkader Saïdi
In this paper we present a numerical scheme for the resolution of matrix Riccati equation, usualy used in control problems. The scheme is unconditionnaly stable and the solution is…