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