Abstract
This paper is intended to be a survey of the current situation regarding programs for solving initial value problems associated with ordinary differential equations. Factors to be considered in choosing a program are discussed briefly. The main methods for non-stiff problems are outlined, and a basis for comparing their relative merits is described. A summary of the results of some recent tests is presented, and this leads to conclusions and recommendations about what methods to use on non-stiff problems. The calling sequence and a program structure are also discussed. Finally, five methods for solving stiff systems are discussed briefly, and conclusions based on the results of some preliminary comparisons are presented.
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