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Zh. Vychisl. Mat. Mat. Fiz., 2000, Volume 40, Number 4, Pages 517–531 (Mi zvmmf1507)  

This article is cited in 11 scientific papers (total in 11 papers)

Optimal control of the process of melting

A. F. Albu, V. I. Gorbunov, V. I. Zubov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full text: PDF file (1996 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2000, 40:4, 491–504

Bibliographic databases:
UDC: 519.626.2
MSC: Primary 80M50; Secondary 49N90, 80A22
Received: 29.07.1999

Citation: A. F. Albu, V. I. Gorbunov, V. I. Zubov, “Optimal control of the process of melting”, Zh. Vychisl. Mat. Mat. Fiz., 40:4 (2000), 517–531; Comput. Math. Math. Phys., 40:4 (2000), 491–504

Citation in format AMSBIB
\Bibitem{AlbGorZub00}
\by A.~F.~Albu, V.~I.~Gorbunov, V.~I.~Zubov
\paper Optimal control of the process of melting
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2000
\vol 40
\issue 4
\pages 517--531
\mathnet{http://mi.mathnet.ru/zvmmf1507}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1781102}
\zmath{https://zbmath.org/?q=an:0990.80009}
\transl
\jour Comput. Math. Math. Phys.
\yr 2000
\vol 40
\issue 4
\pages 491--504


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. F. Albu, V. I. Zubov, “A modified scheme for analyzing the process of melting”, Comput. Math. Math. Phys., 41:9 (2001), 1363–1371  mathnet  zmath  elib
    2. A. F. Albu, V. I. Zubov, “O protsesse plavleniya s ogranicheniem na skorost ostyvaniya”, Matem. modelirovanie, 14:8 (2002), 119–123  mathnet  zmath
    3. A. F. Albou, V. I. Zubov, “Modeling and optimization of melting and solidification process”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3, 91–109  mathnet  mathscinet  zmath
    4. A. F. Albu, V. I. Zubov, V. A. Inyakin, “Optimal control of the melting process and solidification of a substance”, Comput. Math. Math. Phys., 44:8 (2004), 1291–1305  mathnet  mathscinet  zmath
    5. A. F. Albu, V. I. Zubov, “Optimal control of the process of the crystallization of a substance”, Comput. Math. Math. Phys., 44:1 (2004), 34–44  mathnet  mathscinet  zmath
    6. E. S. Zasukhina, “Fast automatic differentiation as applied to the computation of second derivatives of composite functions”, Comput. Math. Math. Phys., 46:11 (2006), 1835–1859  mathnet  crossref  mathscinet
    7. A. F. Albu, V. I. Zubov, “Mathematical modeling and study of the process of solidification in metal casting”, Comput. Math. Math. Phys., 47:5 (2007), 843–862  mathnet  crossref  mathscinet
    8. A. F. Albu, V. I. Zubov, “Optimal control of the solidification process in metal casting”, Comput. Math. Math. Phys., 48:5 (2008), 805–815  mathnet  crossref  mathscinet  zmath  isi
    9. A. F. Albu, V. I. Zubov, “Determination of functional gradient in an optimal control problem related to metal solidification”, Comput. Math. Math. Phys., 49:1 (2009), 47–70  mathnet  crossref  mathscinet  isi
    10. Alla Albu, Vladimir Zubov, “Optimal control for one complex dynamic system, I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 1, 3–21  mathnet  mathscinet  zmath
    11. A. F. Albu, V. I. Zubov, “On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique”, Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 1–10  mathnet  crossref  mathscinet  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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