Special perturbation theory methods in celestial mechanics. I: Principles for the construction and substantiation of the application

DOI10.1007/s11182-006-0264-9zbMath1258.70023OpenAlexW2029132227MaRDI QIDQ946539

Victor A. Avdyushev

Publication date: 23 September 2008

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-006-0264-9

Mathematics Subject Classification ID

Celestial mechanics (70F15)

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Modified multi-step Nyström methods for oscillatory general second-order initial value problems ⋮ Multi-step Nyström methods for general second-order initial value problemsy″(t) =f(t,y(t),y′(t)) ⋮ Two-derivative Runge-Kutta-Nyström methods for second-order ordinary differential equations ⋮ 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 ⋮ Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators ⋮ Symmetric collocation ERKN methods for general second-order oscillators ⋮ Adaptive multi-step Runge-Kutta-Nyström methods for general second-order ordinary differential equations

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