On the monotonicity and constancy of signs of some rational explicit methods for nonlinear systems of ordinary differential equations

We study one special type of explicit rational numerical methods for the solution nonlinear systems of ordinary differential equations and analyze the so-called property of constancy of signs of integration methods. This means that the inner product of approximate solutions at two adjacent points of...

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Bibliographic Details
Date:1995
Main Authors: Hlynsky, Ya.M., Panchyshyn, Yu.Yu.
Format: Article
Language:English
Published: Інститут математики НАН України 1995
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165063
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the monotonicity and constancy of signs of some rational explicit methods for nonlinear systems of ordinary differential equations / Ya. M. Hlynsky, Yu.Yu. Panchyshyn // Український математичний журнал. — 1995. — Т. 47, № 6. — С. 848–852. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine