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

• Published in: Український математичний журнал
• Date: 1995
• Main Authors: Hlynsky, Ya.M., Panchyshyn, Yu.Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1995
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165063
• 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.

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...