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- W2011504711 abstract "The numerical instability in the usage of the leap-frog scheme applied to the Korteweg-de Vries equation is studied. The leap-frog scheme generates computational modes which are not included in the original partial differential equation. It is shown that the numerical instability comes from the parametric excitation of the computational modes by physical waves. A method to suppress the computational modes is given. The method enables us to make long-time integration of the Korteweg-de Vries equation, even if the amplitude of wave is large." @default.
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- W2011504711 title "Parametric excitation of computational modes inherent to leap-frog scheme applied to the Korteweg-de Vries equation" @default.
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- W2011504711 doi "https://doi.org/10.1016/0021-9991(89)90130-7" @default.
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