Reformulation of the RKGM methods using Scheifele expansions

DOI10.1016/S0893-9659(00)00055-0zbMath0955.65048OpenAlexW1977182008MaRDI QIDQ1585542

Ana-Belén González, José-Miguel Farto, David J. López

Publication date: 16 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00055-0

zbMATH Keywords

Runge-Kutta-Nyström methodsperturbed oscillatorsScheifele \(G\)-functionsRunge-Kutta \(G\)-functions method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
• On numerical integration of perturbed linear oscillating systems
• Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
• Modified Taylor approximation of functions with periodic behaviour

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