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High-order explicit Runge-Kutta pairs with low stage order - MaRDI portal

High-order explicit Runge-Kutta pairs with low stage order (Q5961751)

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scientific article; zbMATH DE number 982645
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High-order explicit Runge-Kutta pairs with low stage order
scientific article; zbMATH DE number 982645

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    High-order explicit Runge-Kutta pairs with low stage order (English)
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    14 July 1997
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    This paper addresses the construction of high-order explicit Runge-Kutta pairs. The author initially reviews some of the history of explicit Runge-Kutta methods and then moves onto illustrating his own approach to solving the large number of order conditions by constructing some new parametric families of 7,8 and 8,9 pairs.
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    stage order
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    explicit Runge-Kutta methods
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    order conditions
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