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- W2945834089 abstract "Continuous-stage extended Runge-Kutta-Nyström (CSERKN) methods are proposed and developed for oscillatory problem q″(t)+Mq(t)=f(q(t)). These new methods take into account the special feature of the oscillatory problem so that they integrate exactly unperturbed problem q″(t)+Mq(t)=0. When this problem can be regarded as a Hamiltonian system, we show sufficient conditions for energy-preservation in terms of the coefficients of the method. We also study the symmetry and stability of the methods. Two symmetric and energy-preserving CSERKN schemes of order two and four, respectively, are constructed. Some numerical experiments are provided to confirm the theoretical expectations." @default.
- W2945834089 created "2019-05-29" @default.
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- W2945834089 date "2019-11-01" @default.
- W2945834089 modified "2023-09-25" @default.
- W2945834089 title "Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems" @default.
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- W2945834089 doi "https://doi.org/10.1016/j.apnum.2019.05.009" @default.
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