A note on step-size selection in the Störmer-Cowell methods

Authors:
Higinio Ramos;Jesús Vigo-Aguiar
Affiliations:
Escuela Politécnica Superior, Campus Viriato, Zamora, Spain;Escuela Politécnica Superior, Campus Viriato, Zamora, Spain and Facultad de Ciencias, Universidad de Salamanca, Spain
Venue:
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
Year:
2005

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Abstract

In this paper, we consider a strategy aimed at rendering the variable-step-size Stormer-Cowell methods more efficiently, providing a way to increase the order when selecting the new step in an adequate form.