Formal energy of symplectic scheme for Hamiltonian systems and its applications. II
type: Item
instance of: scholarly article
title: Formal energy of symplectic scheme for Hamiltonian systems and its applications. II
zbMATH Open document ID: 0803.70010
DOI: 10.1016/0898-1221(94)90083-3
publication date: 1994-08-07T00:00:00Z
review text: [For part I, see the first author, ibid., No. 7, 31-39 (1994).] For 4-fold and 8-fold compositions of symplectic schemes, the authors obtain the formulae for calculation of the first three terms of the power series in stepsize of their formal energies. Utilizing the special properties of revertible schemes, the authors construct higher order revertible symplectic schemes for general Hamiltonian systems only through formal energies.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 612173
zbMATH Keywords: power series
zbMATH Keywords: order revertible symplectic schemes
author: Yifa Tang
author: Yong-Hong Long
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)90083-3
OpenAlex ID: W2001569514
cites work: The symplecticity of multi-step methods
cites work: Q5750003
cites work: Q3980597
cites work: Construction of higher order symplectic schemes by composition
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 612173