Comments on ``Embedded pair of extended Runge-Kutta-Nyström type methods for perturbed oscillators

DOI10.1016/j.apm.2010.03.018zbMath1201.65127OpenAlexW2071072913MaRDI QIDQ611630

Bin Wang, Xin-Yuan Wu

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.03.018

zbMATH Keywords

perturbed oscillatorsextended RKN-type methodsphase propertiesRKN pairvariable step-size methods

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

A note on stability of multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems ⋮ On extended RKN integrators for multidimensional perturbed oscillators with applications ⋮ Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems

Cites Work

• Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
• Order conditions for ARKN methods solving oscillatory systems
• Extended RKN-type methods for numerical integration of perturbed oscillators
• A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
• Trigonometrically-fitted ARKN methods for perturbed oscillators
• Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators

This page was built for publication: Comments on ``Embedded pair of extended Runge-Kutta-Nyström type methods for perturbed oscillators