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

• Дата: 1995
• Автори: Hlynsky, Ya. М., Panchyshyn, Yu. Yu., Глинський, Я. М., Панчишин, Ю. Ю.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5477
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...