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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 20–29 (Mi timm1226)  

This article is cited in 4 scientific papers (total in 4 papers)

On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique

A. F. Albu, V. I. Zubov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (187 kB) Citations (4)
References:
Abstract: A efficient method is introduced for solving the problems of optimal control of thermal processes with phase transitions. The following statement is formulated and proved: the time of computing the components of the gradient of the objective function by means of the proposed method does not exceed the time of computing two values of the function.
Keywords: optimal control, gradient, fast automatic differentiation, adjoint problem, Stefan problem.
Received: 01.04.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 1–10
DOI: https://doi.org/10.1134/S0081543816090017
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 20–29; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 1–10
Citation in format AMSBIB
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\by A.~F.~Albu, V.~I.~Zubov
\paper On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 20--29
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468427}
\elib{https://elibrary.ru/item.asp?id=25300981}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 295
\issue , suppl. 1
\pages 1--10
\crossref{https://doi.org/10.1134/S0081543816090017}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000394441400001}
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  • https://www.mathnet.ru/eng/timm1226
  • https://www.mathnet.ru/eng/timm/v21/i4/p20
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:277
    Full-text PDF :84
    References:44
    First page:6
     
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