Abstract
In this paper various issues related to the development of effective software for second order initial value problems are discussed. In particular the difficulty caused by high frequency negligible components is identified and a class of multistep formulas suitable for problems with these components is proposed. The difficulties involved in choosing an appropriate error control strategy are reviewed and a particular strategy is proposed and justified.
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© 1982 Springer-Verlag
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Enright, W.H. (1982). Developing effective multistep methods for the numerical solution of systems of second order initial value problems. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092970
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DOI: https://doi.org/10.1007/BFb0092970
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