An object-oriented approach to numerical methods: the Regula Falsi method for solving equations with tight tolerances for environmental applications

The Regula Falsi method for numerical solution of a system of algebraic equ ations containing a single equation and a single unknown is implemented wit h an object-oriented methodology. The method is applied to the solution of equations predicting atmospheric emissions from combustion point sources. T wo physical approaches are taken in modeling the combustion phenomenon: a k inetic approach and an equilibrium approach. Emissions from the kinetic app roach are found to be significantly smaller than those from the equilibrium approach, indicating marked potential for overall industrial emissions red uction through improvements in the design of burners for boilers, incinerat ors, and furnaces. The object-oriented methodology displays significant ben efits in terms of modularity, code reuse, and future upgrades. (C) 1998 Pub lished by Elsevier Science B.V. Ail rights reserved.