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On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions - MaRDI portal

On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions (Q1294236)

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scientific article; zbMATH DE number 1311056
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On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions
scientific article; zbMATH DE number 1311056

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    On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions (English)
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    7 June 2000
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    This paper is concerned with the numerical treatment of retarded differential equations. Embedded high order pairs of explicit Runge-Kutta-Nyström methods are used coupled with Hermite interpolants. New continuous extensions of high phase-lag order are constructed and analyzed. Numerical experiments and comparisons over various test problems are given.
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    delay equations
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    scaling
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    continuous extensions
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    phase lag
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    numerical experiments
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    retarded differential equations
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    explicit Runge-Kutta-Nyström methods
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