Iterative methods for solving time optimal problems for parabolic equationsстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
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Автор:
Vasil’ev F.P.
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Журнал:
USSR Computational Mathematics and Mathematical Physics
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Том:
10
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Номер:
4
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Год издания:
1970
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Первая страница:
171
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Последняя страница:
190
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Аннотация:
THIS paper considers the time optimal problem, which in thermophysical terms may be briefly formulated as follows: to control the flow of heat or the temperature of the external medium, in the shortest possible time to heat a rod with piecewise-continuous thermophysical characteristics from some initial temperature distribution to a prescribed distribution, or to cause the temperature of a rod to satisfy prescribed constraints. For the approximate solution of this problem two iteration methods are proposed and their convergence is proved. Two auxiliary optimal control problems, which are of independent interest, are also considered. © 1972.
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Добавил в систему:
Васильев Федор Павлович