Stability of ROW methods for non autonomous systems of ordinary differential equations (Q2844534)

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scientific article; zbMATH DE number 6202942
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Stability of ROW methods for non autonomous systems of ordinary differential equations
scientific article; zbMATH DE number 6202942

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    29 August 2013
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    multistep method
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    Runge-Kutta method
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    extrapolation methods
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    stability
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    convergence
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    ROW methods
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    autonomous systems
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    Rosenbroke methods
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    diagonal-implicit scheme
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    Stability of ROW methods for non autonomous systems of ordinary differential equations (English)
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    A possibility of constructing versions of known numerical methods like Runge-Kutta and Rosenbroke methods with improved stability properties in nonautonomous linear and nonlinear problems is discussed. As a base for the discussion an algebraic stability of the diagonal-implicit scheme of the Runge-Kutta method is used.
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