G. V. Grenkin, “Convergence of Newton's method for equations of complex heat transfer”, Dal'nevost. Mat. Zh., 17:1 (2017), 3

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

This article is cited in 2 scientific papers (total in 2 papers)

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

G. V. Grenkin^ab

^a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

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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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https://www.mathnet.ru/eng/dvmg337

https://www.mathnet.ru/eng/dvmg/v17/i1/p3

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
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