Re. Robson et A. Prytz, THE DISCRETE ORDINATE PSEUDOSPECTRAL METHOD - REVIEW AND APPLICATION FROM A PHYSICISTS PERSPECTIVE, Australian journal of physics, 46(4), 1993, pp. 465-495
A discussion of the discrete ordinate method for solving differential
equations is presented along with a number of examples that have appli
cation in various fields of physics. In particular, diffusion cooling,
boundary layer meteorology and the diffusion of water in soils are st
udied. It is shown that the discrete ordinate method is considerably m
ore accurate than finite difference methods of the same order. Results
are presented for linear and nonlinear models, with a comprehensive a
nalysis of the results and accuracies.