A straightforward numerical technique, based on the Gross-Pitaevskii equati
on, is used to generate a self-consistent description of thermally excited
states of a dilute boson gas. The process of evaporative cooling is then mo
deled by following the time evolution of the system using the same equation
. It is shown that the subsequent rethermalization of the thermally excited
state produces a cooler coherent condensate. Other results presented show
that trapping vortex states with the ground state may be possible in a two-
dimensional experimental environment. [S1050-2947(99)10802-3].