Particular numerical methods are described for solving the two-group neutron transport equations obtained in a companion paper. Numerical solutions are presented for the Milne problem and the constant source problem, and the results are compared with P1, P3, and double P1 calculations. The most interesting result is the occurrence of a resonance in the continuum expansion coefficient which appears to be due to a zero of the dispersion function Ω(z) in the unphysical Riemann sheet.