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Elsevier, Applied Mathematics Letters, 6(25), p. 995-999

DOI: 10.1016/j.aml.2011.11.014

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On the continuous extension of Adams–Bashforth methods and the event location in discontinuous ODEs

Journal article published in 2012 by Marco Berardi, Luciano Lopez ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The interpolation polynomial in the k-step Adams–Bashforth method may be used to compute the numerical solution at off grid points. We show that such a numerical solution is equivalent to the one obtained by the Nordsieck technique for changing the step size. We also provide an application of this technique to the event location in discontinuous differential systems.