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Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation - MaRDI portal

Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation (Q1903216)

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scientific article; zbMATH DE number 820331
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English
Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation
scientific article; zbMATH DE number 820331

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    Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation (English)
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    27 May 1996
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    Modified \(r\)-Adams methods for the numerical solution of the Cauchy problem for a system of first-order differential equations are given. They are derived by use of mixed interpolation methods in which a parameter is involved, and they are very well suited to be implemented as a predictor-corrector pair. Properties of the coefficients of these methods are investigated.
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    multistep methods
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    predictor-corrector methods
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    \(r\)-Adams methods
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    Cauchy problem
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    system of first-order differential equations
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    mixed interpolation methods
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