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- W2964140448 abstract "In this paper, we develop continuous-stage Runge–Kutta–Nyström (csRKN) methods for numerical integration of second-order ordinary differential equations (ODEs) written in the form q¨=f(t,q). Numerous ODEs in such form can be reduced to first-order ODEs with the separable form of Hamiltonian systems and symplecticity-preserving discretizations of these systems are of interest. For the sake of designing symplectic csRKN methods, we explore the sufficient conditions for symplecticity, and we show a simple way to derive symplectic RKN-type integrators by using Legendre polynomial expansion. Numerical results show the efficiency of the presented methods." @default.
- W2964140448 created "2019-07-30" @default.
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- W2964140448 date "2018-04-01" @default.
- W2964140448 modified "2023-10-11" @default.
- W2964140448 title "Symplecticity-preserving continuous-stage Runge–Kutta–Nyström methods" @default.
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- W2964140448 doi "https://doi.org/10.1016/j.amc.2017.11.054" @default.
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