Existence of formal integrals of symplectic integrators
type: Item
instance of: scholarly article
title: Existence of formal integrals of symplectic integrators
zbMATH Open document ID: 0882.58018
DOI: 10.1007/BF00691918
author: Lin Liu
author: Xinhao Liao
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1998-03-12T00:00:00Z
review text: The authors give a recurrent method of solving the formal integrals of some symplectic integrators. In the particular case of the \(N\)-body problem they construct explicitly a symplectic integrator which also preserves the energy and the classical integrals of motion, i.e., the components of the angular momentum.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 1049364
zbMATH Keywords: formal integrals
zbMATH Keywords: \(N\)-body problem
zbMATH Keywords: symplectic integrators
reviewed by: Mircea Puta
MaRDI profile type: Publication
cites work: Canonical transformations depending on a small parameter
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cites work: Q4146925
cites work: Recent progress in the theory and application of symplectic integrators
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full work available at URL: https://doi.org/10.1007/bf00691918
OpenAlex ID: W2019811809
description: scientific article; zbMATH DE number 1049364