The objective of this project has been to develop computational methods that will enable more effective analysis of Accelerator Driven Systems (ADS). The work is centered at the University of Missouri at Rolla, with a subcontract at Northwestern University, and close cooperation with the Nuclear Engineering Division at Argonne National Laboratory. The work has fallen into three categories. First, the treatment of the source for neutrons originating from the spallation target which drives the neutronics calculations of the ADS. This work was done at the University of Missouri, and carried out primarily by J. Ferrero, a MS NE student and N. Tsoulfanidis. Second, the generalization of the nodal variational method to treat the R-Z geometry configurations frequently needed for scoping calculations in Accelerator Driven Systems. This work was performed primarily by H. Zhang and E. E. Lewis at Northwestern University. Third, the treatment of void regions within variational nodal methods as needed to treat the accelerator beam tube.