Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds''
type: Item
instance of: scholarly article
title: Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds''
zbMATH Open document ID: 0821.58020
DOI: 10.1016/0898-1221(94)00221-6
publication date: 1995-03-27T00:00:00Z
review text: In the paper by \textit{W. Zhu} and \textit{M. Qin} [ibid. 27, No. 12, 7-16 (1994; Zbl 0807.58018)] the authors concluded that among the symplectic Runge-Kutta methods, only the diagonally implicit ones are Poisson. In this short remark the author shows that all symplectic Runge-Kutta methods are Poisson because Runge-Kutta methods are equivariant under linear maps.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 737498
zbMATH Keywords: Poisson structure
zbMATH Keywords: Runge-Kutta methods
author: Robert I. McLachlan
reviewed by: A. Klíč
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00221-6
OpenAlex ID: W2080239384
cites work: Poisson schemes for Hamiltonian systems on Poisson manifolds
cites work: Q4026085
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 737498