Perturbed collocation and symplectic RKN methods
type: Item
instance of: scholarly article
title: Perturbed collocation and symplectic RKN methods
zbMATH Open document ID: 0832.65072
DOI: 10.1007/BF02431994
published in: Advances in Computational Mathematics
publication date: 1996-03-05T00:00:00Z
review text: 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.
reviewed by: Ernst Hairer
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 803461
zbMATH Keywords: perturbed collocation
zbMATH Keywords: Runge-Kutta-Nyström collocation methods
zbMATH Keywords: method of maximal order
zbMATH Keywords: symplectic methods
author: Geetha Ramaswami
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02431994
OpenAlex ID: W2016269837
description: scientific article; zbMATH DE number 803461