5 citations · 5 across the 3 of their papers we have counts for
4 papers
Convergence of a Normalized Gradient Algorithm for Computing Ground States
Erwan Faou, Tiphaine Jézéquel
We consider the approximation of the ground state of the one-dimensional cubic nonlinear Schr{ö}dinger equation by a normalized gradient algorithm combined with linearly implicit t…
Homoclinic connections with many loops near a resonant fixed point for Hamiltonian systems
Tiphaine Jézéquel, Patrick Bernard, Éric Lombardi
In this paper we study the dynamics near the equilibrium point of a family of Hamiltonian systems in the neighborhood of a resonance. The existence of a family of periodic…
Resonant time steps and instabilities in the numerical integration of Schrödinger equations
Erwan Faou, Tiphaine Jézéquel
We consider the linear and non linear cubic Schrödinger equations with periodic boundary conditions, and their approximations by splitting methods. We prove that for a dense set of…
Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann
We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this pap…