Canonical Runge-Kutta methods
type: Item
instance of: scholarly article
title: Canonical Runge-Kutta methods
zbMATH Open document ID: 0675.34010
DOI: 10.1007/BF00945133
author: F. M. Lasagni
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1988-01-01T00:00:00Z
review text: An integration procedure is called canonical if it generates a globally canonical map if applied to a Hamiltonian system. In this note the author characterizes all canonical Runge-Kutta methods for Hamiltonian systems of the form \(\dot x=H^ T_ y\), \(\dot y=-H^ T_ x\) with Hamiltonian H(x,y,t), \(x,y\in {\mathbb{R}}^ n\), \(t\in {\mathbb{R}}\).
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 4105366
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: canonical Runge-Kutta methods
reviewed by: Stefan Balint
MaRDI profile type: Publication
cites work: Q3729973
cites work: Algebraically Stable and Implementable Runge-Kutta Methods of High Order
cites work: Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I
full work available at URL: https://doi.org/10.1007/bf00945133
OpenAlex ID: W2046608570
description: scientific article; zbMATH DE number 4105366