Cameron, William Lyle2014-03-142014-03-141978-01-08etd-04072010-020227http://hdl.handle.net/10919/37568The temperature-density equation of Kinetic Theory and the conservative neutron transport equation are studied. In both cases a modified version of the Larsen-Habetler resolvent integration technique is applied to obtain full-range and half-range expansions. For the neutron transport equation the method applied is seen to have notational advantages over previous approaches. In the case of the temperature-density equation this development extends previous results by enlarging the class of expandable functions and has the added advantage of rigor and simplicity. As a natural extension of the Kinetic Theory results, an integral equation for the surface density is derived for half-space problems involving the boundary condition of arbitrary accommodation.iv, 126 leavesBTDapplication/pdfenIn Copyrightsurface densityLD5655.V856 1978.C25Dissertationhttp://scholar.lib.vt.edu/theses/available/etd-04072010-020227/