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- W4378363586 abstract "In this paper, we consider a class of highly oscillatory Hamiltonian systems which involve a scaling parameter . The problem arises from many physical models in some limit parameter regime or from some time-compressed perturbation problems. The solution of the model exhibits rapid temporal oscillations with -amplitude and -frequency, which makes classical numerical methods inefficient. We apply the two-scale formulation approach to the problem and propose two new time-symmetric numerical integrators. The methods are proved to have the uniform second order accuracy for all at finite times and some near-conservation laws in long times. Numerical experiments on a Hénon–Heiles model, two nonlinear Schrödinger equations, and a charged-particle system illustrate the performance of the proposed methods over the existing ones." @default.
- W4378363586 created "2023-05-27" @default.
- W4378363586 creator A5009090425 @default.
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- W4378363586 date "2023-05-24" @default.
- W4378363586 modified "2023-10-17" @default.
- W4378363586 title "Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations" @default.
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- W4378363586 doi "https://doi.org/10.1137/21m1462908" @default.
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