Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems
type: Item
instance of: scholarly article
title: Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems
zbMATH Open document ID: 1355.65097
author: Jiyong Li
author: X. F. Wang
published in: Applied Numerical Mathematics
publication date: 2016-12-23T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 6668307
zbMATH Keywords: multi-step Runge-Kutta-Nyström methods
zbMATH Keywords: order conditions
zbMATH Keywords: special Nyström-series
zbMATH Keywords: explicit methods
zbMATH Keywords: special second-order initial value problems
zbMATH Keywords: B-series
zbMATH Keywords: numerical result
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.apnum.2016.11.002
OpenAlex ID: W2555609410
cites work: An Algebraic Theory of Integration Methods
cites work: The Order of Numerical Methods for Ordinary Differential Equations
cites work: A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
cites work: Order conditions for a class of two-step methods for y'' = f (x, y)
cites work: P-stability and exponential-fitting methods for y'' = f(x,y)
cites work: On accuracy and unconditional stability of linear multistep methods for second order differential equations
cites work: A class of explicit two-step hybrid methods for second-order IVPs
cites work: Geometric Numerical Integration
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: Q5569399
cites work: Multi-step hybrid methods for special second-order differential equations \(y^{\prime \prime}(t)=f(t,y(t))\)
cites work: Explicit Numerov type methods with reduced number of stages.
cites work: Order conditions for ARKN methods solving oscillatory systems
cites work: ERKN integrators for systems of oscillatory second-order differential equations
DOI: 10.1016/J.APNUM.2016.11.002
description: scientific article; zbMATH DE number 6668307