A few-group method of calculating the epithermal flux in the vicinity of a slab absorber is developed. Non-moderating absorbers are treated in the P-1, P-3, and DP-1 approximations by applying blackness boundary conditions at the slab surfaces. A code which generates these coefficients is described. Comparison with Monte Carlo calculations indicates that six epithermal groups are needed to calculate the absorption rate to within 2% in a highly absorbing (optical depth = 10.6 at 0.025 ev) boron plate. An iterative method of treating moderating absorbers is also developed. Approximately three quarters of the error caused by neglect of moderation is removed after a single iteration.