FORMULAS FOR MODULAR INTEGRATION OF SYSTEMS OF ODES

Formulas are presented for modular integration of systems of first or second-order ordinary differential equations which have been separated into subsystems. Using these formulas, each subsystem (or module) may be integrated essentially independently using an appropriate processor or specialized integration technique. Included is a general mathematical procedure for devising formulas for modular integration, depending on the order of accuracy required and other considerations.