Abstract
In this paper we consider stepsize selection in one class of Adams linear multistep methods for ordinary differential equations. In particular, the exact form of the local error for a variable step method is considered and a new class of direct approximations proposed. The implications of this approach are then discussed and illustrations provided with numerical results.
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Willé, D.R. Experiments in stepsize control for Adams linear multistep methods. Advances in Computational Mathematics 8, 335–344 (1998). https://doi.org/10.1023/A:1018960717197
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DOI: https://doi.org/10.1023/A:1018960717197