Computational aspects of the two-dimensional propagation of R-matrices on MPPs

The simulation of electron collisions, at intermediate energies, with atoms , ions and molecules in highly excited Rydberg states is a physically impor tant and computationally challenging problem. A suitable computational tech nique, to meet this challenge for the general two-electron problem, involve s an adaptation of the intermediate energy R-matrix approach, in which the (r(1), r(2)) plane of the inner region is partitioned into a set of connect ed subregions and a global R-matrix is propagated, in two dimensions, acros s this plane. In this paper we examine the computational aspects of this te chnique and, in particular, describe a parallel strategy for exploiting the architecture of distributed memory parallel computers. (C) 1998 Elsevier S cience B.V.