Computing the stability regions of Hill's equation (Q1765809)

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scientific article; zbMATH DE number 2137710
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Computing the stability regions of Hill's equation
scientific article; zbMATH DE number 2137710

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    Computing the stability regions of Hill's equation (English)
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    23 February 2005
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    This paper deals with the computation of the stability regions of Hill's equation [see \textit{M. I. Weinstein, J. B. Keller}, SIAM J. Appl. Math. 47, 941-958 (1987; Zbl 0652.34033)]. A numerical scheme is presented based on a spectral problem for the integral operator and using the improved Schwarz iteration. The numerical implementation of the method is illustrated on several examples.
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    Hill's equation
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    stability regions
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    integral operator
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    spectral problem
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    numerical examples
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    Schwarz iteration
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