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Algebraic characterization of \(A\)-stable Runge-Kutta methods - MaRDI portal

Algebraic characterization of \(A\)-stable Runge-Kutta methods (Q1119361)

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scientific article; zbMATH DE number 4098660
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Algebraic characterization of \(A\)-stable Runge-Kutta methods
scientific article; zbMATH DE number 4098660

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    Algebraic characterization of \(A\)-stable Runge-Kutta methods (English)
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    1989
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    The authors obtain an algebraic characterization of \(A\)-stable Runge-Kutta methods similar to that of \(B\)-stable methods. Their results gives the information about the gap between the set of \(A\)- and \(B\)-stable Runge-Kutta methods. They consider several examples to illustrate their results.
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    \(W\)-transformation
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    \(A\)-stability
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    \(A\)-stable methods
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    \(B\)-stability
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    numerical examples
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    algebraic characterization
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    Runge-Kutta methods
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