Specification of PSIDE

PSIDE is a code for solving implicit differential equations on parallel computers. It is an implementation of the four-stage Radau IIA method. The nonlinear systems are solved by a modified Newton process, in which every Newton iterate itself is computed by an iteration process. This process is constructed such that the four stage values can be computed simultaneously. We describe here how PSIDE is set up as a modular system and what control strategies have been chosen. 1991 Mathematics Subject Classification: Primary: 65-04, Secondary: 65L05, 65Y05. 1991 Computing Reviews Classification System: G.1.7, G.4.