Stability regions of one step mixed collocation methods for \(y''=f(x,y)\)
type: Item
instance of: scholarly article
title: Stability regions of one step mixed collocation methods for \(y''=f(x,y)\)
zbMATH Open document ID: 1069.65092
author: Xianqiang Yang
published in: Applied Numerical Mathematics
publication date: 2005-04-21T00:00:00Z
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L50
zbMATH DE Number: 2160259
zbMATH Keywords: collocation methods
zbMATH Keywords: Runge-Kutta-Nyström methods
zbMATH Keywords: Stability analysis
zbMATH Keywords: Lobatto nodes
zbMATH Keywords: stepsize control
zbMATH Keywords: Gauss nodes
zbMATH Keywords: Radau nodes
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.08.020
OpenAlex ID: W1505087458
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cites work: A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\)
cites work: Stability of collocation methods for the numerical solution ofy″=f (x,y)
cites work: Q4002473
cites work: Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
cites work: A phase-fitted collocation-based Runge-Kutta-Nyström method
cites work: Compuation of the interval of stability of Runge-Kutta-Nyström methods
cites work: Q4356577
cites work: Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
cites work: Stability of collocation-based Runge-Kutta-Nyström methods
DOI: 10.1016/J.APNUM.2004.08.020
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description: scientific article; zbMATH DE number 2160259