Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems
type: Item
instance of: scholarly article
title: Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems
zbMATH Open document ID: 1266.65201
author: Xiong You
author: Wei Shi
author: Zhongli Liu
author: Zhao-Xia Chen
published in: Computer Physics Communications
publication date: 2013-04-12T00:00:00Z
review text: The authors discuss the symmetric and symplectic extended Runge-Kutta-Nyström (ERKN) methods for oscillatory Hamiltonian systems. They investigate the symmetry and symplecticity conditions for EKRN methods when they apply Hamiltonion systems of particular form. They briefly discuss the formulation of EKRN methods and derive symmetry and and symplecticity conditions. Stability and phase properties of the new methods are given. Numerical experiments are given to check the effectiveness and efficiency of the new methods.
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6153329
zbMATH Keywords: symmetry
zbMATH Keywords: symplectic extended Runge-Kutta-Nyström (ERKN) methods
zbMATH Keywords: oscillatory Hamiltonian systems
zbMATH Keywords: stability
zbMATH Keywords: numerical experiments
reviewed by: Seenith Sivasundaram
MaRDI profile type: Publication
full work available at URL: j.cpc.2011.09.002
OpenAlex ID: W2040409729
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DOI: 10.1016/J.CPC.2011.09.002
description: scientific article; zbMATH DE number 6153329