Störmer-Cowell: straight, summed and split. an overview

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Frankena, J.F. (1995) Störmer-Cowell: straight, summed and split. an overview. Journal of Computational and Applied Mathematics, 62 (2). pp. 129-154. ISSN 0377-0427

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Abstract:In this paper we consider the relationship between some (forms of) specific numerical methods for (second-order) initial value problems. In particular, the Störmer-Cowell method in second-sum form is shown to be the Gauss-Jackson method (and analogously, for the sake of completeness, we relate Adams-Bashforth-Moulton methods to their first-sum forms). Furthermore, we consider the split form of the Störmer-Cowell method. The reason for this consideration is the fact that these summed and split forms exhibit a better behaviour with respect to rounding errors than the original method (whether in difference or in ordinate notation). Numerical evidence will support the formal proofs that have been given elsewhere.
Item Type:Article
Copyright:© 1995 Elsevier Science
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/30264
Official URL:http://dx.doi.org/10.1016/0377-0427(94)00102-0
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