Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type
type: Item
instance of: scholarly article
title: Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type
zbMATH Open document ID: 1301.65071
author: D. Kharzeev
published in: Computer Physics Communications
publication date: 2014-09-24T00:00:00Z
review text: The paper is devoted to the construction of high-order exponentially fitted Runge-Kutta-Nyström methods for solving non-stiff systems of oscillatory ordinary differential equations. Two methods are proposed, allowing to explicitly determine both a fixed step size and a variable step method. The construction asserts that the desired stability and convergence properties are satisfied.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 6347247
zbMATH Keywords: exponential fitting
zbMATH Keywords: Runge-Kutta-Nyström methods
zbMATH Keywords: symmetric and symplectic methods
zbMATH Keywords: parallel methods
zbMATH Keywords: oscillatory differential systems
zbMATH Keywords: non-stiff system
zbMATH Keywords: variable step method
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.cpc.2012.12.018
OpenAlex ID: W2011409874
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DOI: 10.1016/J.CPC.2012.12.018
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