Stability of the Radau IA and Lobatto IIIC methods for delay differential equations (Q1392417)

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scientific article; zbMATH DE number 1179901
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Stability of the Radau IA and Lobatto IIIC methods for delay differential equations
scientific article; zbMATH DE number 1179901

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    Stability of the Radau IA and Lobatto IIIC methods for delay differential equations (English)
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    3 January 1999
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    The paper discuss some stability properties of the Radau IA and Lobatto IIIC Runge-Kutta type methods with respect to a multidimensional delay differential equation which satisfy certain conditions for asymptotic stability of zero-solutions. The conditions are closely related to stability criteria for delay differential equations studied in the field of systems theory.
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    delay differential system
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    Runge-Kutta methods
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    asymptotic stability of zero-solution
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