  In this paper, we study dimension reduction of the three-dimensional (3D)
Gross-Pitaevskii equation
  (GPE) modelling Bose-Einstein condensation under different limiting
interaction and trapping frequencies parameter regimes.
  Convergence rates for the dimension reduction of 3D ground state and dynamics
of the GPE in the case of disk-shaped condensation and cigar-shaped
condensation are reported based on our asymptotic and numerical results. In
addition, the parameter regimes in which the 3D GPE cannot be reduced to lower
dimensions are identified.
