A numerical method for the integration of perturbed linear problems

DOI10.1016/S0096-3003(97)10121-7zbMath0943.65083OpenAlexW2056797908MaRDI QIDQ1294377

David J. López, Pablo Martín

Publication date: 5 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10121-7

zbMATH Keywords

numerical examplemultistep methodsperturbed problemsperturbed oscillators with dampingSMF 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)

Related Items (6)

Generalization of the Störmer method for perturbed oscillators without explicit first derivatives ⋮ Order conditions for RKN methods solving general second-order oscillatory systems ⋮ A class of linear multi-step method adapted to general oscillatory second-order initial value problems ⋮ Symmetric collocation ERKN methods for general second-order oscillators ⋮ Improved numerical integration of perturbed oscillators via average ⋮ A variable-stepsize variable-order multistep method for the integration of perturbed linear problems

Cites Work

• Unnamed Item
• Behaviour of the SMF method for the numerical integration of satellite orbits
• Numerical integration of products of Fourier and ordinary polynomials
• Stabilization of Cowell's method
• 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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