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Regularity properties of multistage integration methods - MaRDI portal

Regularity properties of multistage integration methods (Q1379698)

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scientific article; zbMATH DE number 1121354
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Regularity properties of multistage integration methods
scientific article; zbMATH DE number 1121354

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    Regularity properties of multistage integration methods (English)
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    6 July 1998
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    This paper examines the regularity properties of certain classes of diagonally implicit multivalue methods. A method is said to be regular if it has the same set of finite asymptotic values as the underlying differential system. A sufficient condition for regularity is given and this condition is shown to be necessary for all two-step, two-stage methods of order two or more. It is also shown that there exist regular explicit methods.
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    multistage integration methods
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    diagonally implicit multivalue methods
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    regularity
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    regular explicit methods
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