A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation
type: Item
instance of: scholarly article
title: A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation
zbMATH Open document ID: 1421.65018
author: Hong Li Yang
author: Xianyang Zeng
published in: Numerical Algorithms
publication date: 2017-11-24T00:00:00Z
review text: The authors focus on the extended Runge-Kutta-Nyström (ERKN) methods proposed by \textit{X. Wu} et al. [Comput. Phys. Commun. 181, No. 11, 1873--1887 (2010; Zbl 1217.65141)]. In recent years, many ERKN methods have been presented and they are known for their numerical efficiency to solve multifrequency multidimensional ordinary differential equations. In this paper, a feasible effective technique is presented which allows one to construct ERKN methods in a very short time, even for high-order integrators. Moreover, this paper provides results which guarantee that the ERKN method obtained from the presented technique shares the same order, same symplectic property and same symmetric property with the underlying RKN method. Unfortunately, neither numerical examples nor comparisons among ERKN methods are reported.
reviewed by: Raffaella Pavani
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 6812490
zbMATH Keywords: ERKN methods
zbMATH Keywords: symplectic conditions and symmetric conditions
zbMATH Keywords: rooted tree theory
zbMATH Keywords: a feasible and effective technique
zbMATH Keywords: scientific computation
MaRDI profile type: Publication
full work available at URL: s11075-017-0281-5
OpenAlex ID: W2588783000
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DOI: 10.1007/S11075-017-0281-5
description: scientific article; zbMATH DE number 6812490