Application of the generalized multigroup method for a continuous gamma spectrum source

Treatment of energy in the solution of the transport equation has been dominated by the multigroup method. This method suffers from two disadvantages: the assumed spectrum becomes discontinuous at the energy boundaries, and it maintains its original shape within the group. These disadvantages reduce its accuracy. To mitigate these inefficiencies, a generalized multigroup method was developed. In this method, an arbitrary set of basis functions is defined that allow the spectrum to adapt within each energy group and be continuous at the boundaries. A linear form of the multigroup method was implemented on a continuous fission gamma spectrum to demonstrate its efficacy. (author)