Solutions to the multidimensional linear transport equation by the spectral method

The spectral method is used to develop a solution for multidimensional tran sport problems for neutral particles in cartesian geometry. The procedure i s based on the expansion of the angular flux in a truncated series of ortho gonal polynomials that results in the transformation of the multidimensiona l problem into a set of one-dimensional problems, whose solutions are well established. The convergence of this approach is studied in the context of the multidimensional discrete-ordinates equations. (C) 1999 Published by El sevier Science Ltd. All rights reserved.