Solution of Linear Systems of Ordinary Differential Equations on an INTEL Hypercube

In this paper there is developed and tested a parallel scheme for the solution of linear systems of ordinary initial value problems based on the box scheme and a modified recursive doubling technique. The box scheme may be replaced by any stable integrator. The algorithm can be modified to solve boundary value problems. Software for both problems is available upon request. 1. Introduction. We consider the solution of linear problems on a hypercube. By a hypercube we intend "a distributed memory MIMD computer with communication between processors via a network having the topology of a p-dimensional cube,