# The development of the boundary-value codes in the ordinary differential equations chapter of the NAG library

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## Abstract

We discuss the historical development of the ordinary differential equations chapter of the Numerical Algorithms Groups Library with special emphasis on boundary-value codes. Much of this development has been motivated by the need to solve practical problems. We give six examples of problems which have influenced us and we consider in some detail how these problems can be solved using the shooting and matching codes in the NAG library. We also briefly describe other boundary-value codes in the NAG library and discuss future plans. In an appendix we give a classified list of the current NAG library boundary-value codes.

## Keywords

Newton Iteration Nonlinear Eigenvalue Problem Chebyshev Series Match Code Modify Newton Method
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## Copyright information

© Springer-Verlag Berlin Heidelberg 1979