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Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems - MaRDI portal

Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems (Q1324367)

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scientific article; zbMATH DE number 571473
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Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems
scientific article; zbMATH DE number 571473

    Statements

    Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems (English)
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    24 May 1994
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    The theory of the phase-lag analysis for Runge-Kutta-Nyström methods and Runge-Kutta-Nyström interpolants is developed. Also a new Runge- Kutta-Nyström method with interpolation properties is developed to integrate second-order differential equations of the form \(u''(t)=f(t,u)\) when they possess an oscillatory solution.
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    phase-lag analysis
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    Runge-Kutta-Nyström methods
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    interpolants
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    second- order differential equations
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    oscillatory solution
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