21 citations · 21 across the 4 of their papers we have counts for
5 papers
Strang splitting schemes for N-level Bloch models
Marc Songolo, Brigitte Bidégaray-Fesquet
We extend to the N-level Bloch model the splitting scheme which use exact numerical solutions of sub-equations. These exact solutions involve matrix exponentials which we want to a…
Self-triggered stabilizing controllers for linear continuous-time systems
Fairouz Zobiri, Nacim Meslem, Brigitte Bidegaray-Fesquet
Self-triggered control is an improvement on event-triggered control methods. Unlike the latter, self-triggered control does not require monitoring the behavior of the system consta…
From Newton's cradle to the discrete p-Schrödinger equation
Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James
We investigate the dynamics of a chain of oscillators coupled by fully-nonlinear interaction potentials. This class of models includes Newton's cradle with Hertzian contact interac…
Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations
Brigitte Bidégaray-Fesquet
The stability of five finite difference-time domain (FD-TD) schemes coupling Maxwell equations to Debye or Lorentz models have been analyzed in [1] (P.G. Petropoulos, "Stability an…
From Bloch model to the rate equations II: the case of almost degenerate energy levels
Brigitte Bidegaray-Fesquet, Francois Castella, Eric Dumas +1
Bloch equations give a quantum description of the coupling between an atom and a driving electric force. In this article, we address the asymptotics of these equations for high fre…