1 citations · 2 across the 14 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.NA2024
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…
math.AP2024★ 1 cited
Continuum limit of the discrete nonlinear Klein-Gordon equation
Quentin Chauleur
We study the convergence of solutions of the discrete nonlinear Klein-Gordon equation on an infinite lattice in the continuum limit, using recent tools developed in the context of…
math.NA2024
Finite volumes for the Gross-Pitaevskii equation
Quentin Chauleur
We study the approximation by a semi-discrete finite-volume scheme of the Gross-Pitaevskii equation with time-dependent potential in two dimensions, performing a two-point flux app…