equal to the initial time of the propagation. This is illustrated in Fig. where new SPs are requested in the second update interval. In this case the dynamics are reset to the initial wave function and a new dynamics simulation is started where V upd is used as the PES from the beginning without doing a continuous update. If the TD-ADGA is run with the full restart setting, then each time new SPs are added the dynamics will be reset to the initial time, similar to the case showed in Fig. .