  Double electron ionisation process occurs when an intense laser pulse
interacts with atoms or molecules. Exact {\it ab initio} numerical simulation
of such a situation is extremely computer resources demanding, thus often one
is forced to apply reduced dimensionality models to get insight into the
physics of the process. The performance of several algorithms for simulating
double electron ionization by strong femtosecond laser pulses are studied. The
obtained ionization yields and the momentum distributions of the released
electrons are compared, and the effects of the model dimensionality on the
ionization dynamics discussed.
