Generalization of the Störmer method for perturbed oscillators without explicit first derivatives

DOI10.1016/S0377-0427(99)00136-3zbMath0958.65087OpenAlexW2014965421MaRDI QIDQ1964107

David J. López, Pablo Martín, José-Miguel Farto

Publication date: 10 April 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00136-3

zbMATH Keywords

numerical experimentserror boundsmultistep methodsStörmer methodperturbed oscillator

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

An adapted explicit hybrid method of Numerov-type for the numerical integration of perturbed oscillators ⋮ Adapted Falkner-type methods solving oscillatory second-order differential equations ⋮ Scheifele two-step methods for perturbed oscillators ⋮ On the numerical integration of oscillatory problems with multistep codes

Cites Work

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• On numerical integration of perturbed linear oscillating systems
• Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
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