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.

Ordinary Differential Equations (acm G.1.7), MATHEMATICAL SOFTWARE (acm G.4)
Explicit machine computation and programs (not the theory of computation or programming) (msc 65-04), Initial value problems (msc 65L05), Parallel computation (msc 65Y05)
Modelling, Analysis and Simulation [MAS]
Modelling, Analysis and Computation

de Swart, J.J.B, Lioen, W.M, & van der Veen, W.A. (1998). Specification of PSIDE. Modelling, Analysis and Simulation [MAS]. CWI.