Инд. авторы:	Gorban A.N., Shokin Yu.I., Verbitskii V.I.
Заглавие:	Simultaneously dissipative operators and the infinitesimal wrapping effect in interval spaces
Библ. ссылка:	Gorban A.N., Shokin Yu.I., Verbitskii V.I. Simultaneously dissipative operators and the infinitesimal wrapping effect in interval spaces // Вычислительные технологии. - 1998. - Vol.2. - Iss. 4. - P.16-48. - ISSN 1560-7534. - EISSN 2313-691X.
Внешние системы:	РИНЦ: 13008104;
Реферат:	eng: The paper is devoted to some applications of the theory of simultaneously dissipative operators to interval analysis and chemical cinetics. The main object under study is a harmful "wrapping effect" that widely reveals itself in computer solution of evolutionary differential equations with interval parameters. We managed to prove that the infinrtesimal wrapping effect is "typical", which explais the low efficacy of the traditional stepwise methods for the numerical solution of interval differential problems. rus: Работа посвящена приложениям теории совместно диссипативных операторов к интервальному анализу и химической кинетике. Главным объектом исследования является нежелательный "эффект упаковывания", широко проявляющийся при численном решении на ЭВМ эволюционных дифференциальных уравнений с интервальными параметрами. Основной результат работы - доказательство типичности эффекта упаковывания в малом, что объясняет низкую эффективность традиционных пошаговых методов численного решения интервальных дифференциальных задач.
Издано:	1998
Физ. характеристика:	с.16-48
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