# GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations II: Dynamics and stochastic simulations

## Description

Abstract GPELab is a free Matlab toolbox for modeling and numerically solving large classes of systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein condensates. The aim of this second paper, which follows (Antoine and Duboscq, 2014), is to first present the various pseudospectral schemes available in GPELab for computing the deterministic and stochastic nonlinear dynamics of Gross–Pitaevskii equations (Antoine, et al., 2013). Next, the corresponding GPELab functions are exp... Title of program: GPELab Catalogue Id: AETU_v2_0 Nature of problem Simulation of dynamical solutions for a class of systems (multi-components) of time-dependent Gross-Pitaevskii equations in 1d, 2d and 3d. This program is particularly well designed for the simulation of the dynamics of Bose-Einstein condensates as well as the computation of ground states. Versions of this program held in the CPC repository in Mendeley Data AETU_v1_0; GPELab; 10.1016/j.cpc.2014.06.026 AETU_v2_0; GPELab; 10.1016/j.cpc.2015.03.012 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)