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- W2949910130 abstract "For trigonometric and modified trigonometric integrators applied to oscillatory Hamiltonian differential equations with one or several constant high frequencies, near-conservation of the total and oscillatory energies are shown over time scales that cover arbitrary negative powers of the step size. This requires non-resonance conditions between the step size and the frequencies, but in contrast to previous results the results do not require any non-resonance conditions among the frequencies. The proof uses modulated Fourier expansions with appropriately modified frequencies." @default.
- W2949910130 created "2019-06-27" @default.
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- W2949910130 date "2014-02-19" @default.
- W2949910130 modified "2023-09-30" @default.
- W2949910130 title "Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions" @default.
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