1 citations · 1 across the 2 of their papers we have counts for
3 papers
Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
Quentin Chauleur, Radu Chicireanu, Guillaume Dujardin +2
We consider the Gross-Pitaevskii equation with a confining ring potential with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we numerically highlight the n…
Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
André de Laire, Guillaume Dujardin, Salvador López-Martínez
The existence and decay properties of dark solitons for a large class of nonlinear nonlocal Gross-Pitaevskii equations with nonzero boundary conditions in dimension one has been es…
Â-and Î-stability of collocation Runge-Kutta methods
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper deals with stability of classical Runge-Kutta collocation methods. When such methods are embedded in linearly implicit methods as developed in [12] and used in [13] for…