High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems

DOI10.1016/j.cpc.2007.08.016zbMath1196.65194OpenAlexW2098392486MaRDI QIDQ710314

Theodore E. Simos

Publication date: 18 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.08.016

zbMATH Keywords

numerical methodsmultistep methodssymplectic integratorsorbital problemsenergy preservationtrigonometric fittingclosed Newton-Cotes differential methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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