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High accuracy hybrid formula for \(y''= f(x,y)\) - MaRDI portal

High accuracy hybrid formula for \(y''= f(x,y)\) (Q1299837)

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scientific article; zbMATH DE number 1328402
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High accuracy hybrid formula for \(y''= f(x,y)\)
scientific article; zbMATH DE number 1328402

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    High accuracy hybrid formula for \(y''= f(x,y)\) (English)
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    3 February 2000
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    The authors study families of six- and eighth-order hybrid methods in order to characterize those methods that have a phase lag order of six or eight and eight or ten, respectively. The ` ` phase lag order' ' concept was introduced by \textit{P. J. Van der Houwen} and \textit{B. P. Sommeijer} [SIAM J. Numer. Anal. 24, 595-617 (1987; Zbl 0624.65058)] to characterize numerical methods that are suitable for computing oscillating solutions.
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    oscillating solutions
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    hybrid multistep method
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    phase lag order
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