Analytical Continuation for Calculating Multigroup-Multizone Eigenvalue Problems using Lie Series

A calculation of the critical volume of cylindrical reactors by means of n-group diffusion theory illustrates the usefulness of Lie series in reactor theory. In the case of Bessel functions of large arguments, analytical methods give rise to numerical difficulties. The present work deals with an analytical method developed to avoid such difficulties; problems of this kind can be solved on comparatively small computers.