Perturbed collocation and symplectic RKN methods (Q1899277)
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scientific article; zbMATH DE number 803461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbed collocation and symplectic RKN methods |
scientific article; zbMATH DE number 803461 |
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Perturbed collocation and symplectic RKN methods (English)
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5 March 1996
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It is shown that, within the class of Runge-Kutta-Nyström collocation methods, only the method of maximal order \(p = 2s\) is symplectic. By extending the idea of perturbed collocation proposed by \textit{S. P. Nørsett} and \textit{G. Wanner} [Numer. Math. 38, 193-208 (1981; Zbl 0471.65045)]to Nyström methods, new classes of symplectic methods or the orders \(2s - 1\) and \(2s - 2\) are derived.
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perturbed collocation
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Runge-Kutta-Nyström collocation methods
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method of maximal order
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symplectic methods
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