This talk presents GPELab (Gross-Pitaevskii Equation Laboratory, http://gpelab.math.cnrs.fr/), an advanced easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics situations related to Bose-Einstein Condensation (BEC). The model equation that GPELab solves is the Gross-Pitaevskii Equation (GPE). Robust and accurate numerical schemes are implemented for computing stationary solutions and the dynamics of BECs through the GPE. We will explain the pseudospectral schemes that are included in GPELab and will show some numerical examples including: 1d, 2d and 3d situations, general potentials, large classes of local and nonlocal nonlinearities, multi-components problems, fast rotating gazes.

Co-authors: Romain Duboscq, Institut de Mathmatiques de Toulouse, Université de Toulouse