If all boxes are converged and no extension of the one-mode grids are required, the timepropagation simply continues until the next check time is reached. If, on the other hand, the TD-ADGA grid is no longer converged, the same procedure as for obtaining convergence for the first iteration is carried out until the TD-ADGA grid is converged. If new SPs have been calculated a new PES have also been obtained and the time-propagation is reset to a previous time-step in order for the PES of the dynamics to be continuously updated. How we handle the update of the potential will be described in the following subsection.