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Dal'nevostochnyi Matematicheskii Zhurnal, 2017, Volume 17, Number 1, Pages 3–10 (Mi dvmg337)  

Convergence of Newton's method for equations of complex heat transfer

G. V. Grenkinab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
References:
Abstract: Global monotonic convergence of Newton's method is proved for solving equations of complex heat transfer within the $P_1$ approximation of the radiative transfer equation.
Key words: radiative heat transfer, diffusion approximation, Newton's method, monotonic convergence.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 13.03.2017
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
MSC: Primary 65N12; Secondary 35J25
Language: Russian
Citation: G. V. Grenkin, “Convergence of Newton's method for equations of complex heat transfer”, Dal'nevost. Mat. Zh., 17:1 (2017), 3–10
Citation in format AMSBIB
\Bibitem{Gre17}
\by G.~V.~Grenkin
\paper Convergence of Newton's method for equations of complex heat transfer
\jour Dal'nevost. Mat. Zh.
\yr 2017
\vol 17
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/dvmg337}
\elib{https://elibrary.ru/item.asp?id=32239866}
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