Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge-Kutta schemes (Q2925083)

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scientific article; zbMATH DE number 6359092
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English
Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge-Kutta schemes
scientific article; zbMATH DE number 6359092

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    20 October 2014
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    multistep
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    Runge-Kutta and extrapolation methods
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    numerical examples
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    Cauchy problems
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    stiff
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    Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge-Kutta schemes (English)
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    A review of one-step numerical integration methods on the base of Cauchy problems for systems of ordinary differential equations is realized. Non-iterative methods coinciding with stiff exact implicit double-stage Runge-Kutta schemes (autonomous and non-autonomous) while applied to linear problems are analysed in detail. Test examples are provided.
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