REPLICAS - a new continuous system simulation language

Abstract

A new continuous system simulation language - REPLICAS, The Rational, Efficient Programming Language for the Implementation of Computerized Analysis and Simulation - is proposed for general engineering, scientific and econometric applications. The use of Gear's integration method coupled with a non-linear quasi-Newton solver relying on Broyden's method results in a reliable and efficient simulation system invoked by a language which requires only that the user define a mathematical model in terms of first-order, ordinary differential equations. Extensions to Gear's method accommodate discontinuities, extreme stiffness and steady-state within a single evaluation procedure.