Object-Oriented Implementation of Software for Solving Ordinary Differential Equations

Abstract

We describe an object-oriented implementation of numerical integration methods for solving ordinary differential equations. Software components that are common to many different integration methods have been identified and implemented in such a way that they can be reused. This facilitates the design of a uniform user interface and makes the task of implementing a new integration method fairly modest. The sharing of code in this type of implementation also allows for less subjective comparisons of the result from different integration methods.