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A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs - MaRDI portal

A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs (Q611848)

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scientific article; zbMATH DE number 5826788
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English
A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs
scientific article; zbMATH DE number 5826788

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    A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs (English)
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    14 December 2010
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    The authors investigate a new two step P stable hybrid Obrechkoff method of order 8 for the numerical integration of second-order initial value problems. The details of the procedure adapted for the application is given.The interval of periodicity is improved up to \((0,+\infty)\) for the class of hybrid methods. A numerical result is presented to show its superiority in efficiency, accuracy, and stability.
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    hybrid methods
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    P-stability
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    Obrechkoff methods
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    second-order initial value problems
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    stability
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    numerical result
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