[en] An analytic and a computer generated simulation of the production of Ultra-Cold Neutrons (UCN) is presented using Bragg scattering from a moving crystal to Doppler shift higher velocity neutrons into the UCN region. The calculation was carried out with a view toward its application at the Intense Pulsed Neutron Source (IPNS) now under construction at Argonne National Laboratory. This method for the production of UCN appears well matched to a pulsed source, and we show that the UCN can be stored in a neutron bottle at the peak flux which can potentially be much higher than at the present high flux reactors. The predicted density of stored UCN indicates that a highly precise measurement of the neutron electric dipole moment (EDM) will be possible within the next few years