Speaker: Eric Machorro Title: Discontinuous Galerkin Finite Element Method applied to the 1-D Spherical Neutron Transport Equation Abstract: Discontinuous Galerkin finite-element methods are used to estimate solutions to the 1-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behavior that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements.