Note on derivation of order conditions for ARKN methods for perturbed oscillators

DOI10.1016/J.CPC.2009.04.005MaRDI QIDQ6563105

Xinyuan Wu, Jiyong Li, Xiong You

Publication date: 27 June 2024

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

order conditionsB-seriesadapted Runge-Kutta-Nyström methodsNyström trees

Mathematics Subject Classification ID

Numerical analysis (65-XX) Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Cites Work

• Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
• A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
• A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators.
• Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
• New methods for oscillatory systems based on ARKN methods
• Solving Ordinary Differential Equations I

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