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Matem. Mod., 2013, Volume 25, Number 4, Pages 74–82 (Mi mm3353)  

This article is cited in 1 scientific paper (total in 1 paper)

On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering

V. V. Zaviyalov

Russian Federal Nuclear Center - Zababakhin Institute of Technical Physics (RFNC-VNIITF)

Abstract: The paper presents a method used to identify the diagonal element for the iterative solution of implicit finite-difference equations approximating a non-linear system of nonstationary differential equations — an integro-differential spectral kinetic photon transport equation and energy equation. Two alternatives of the algorithm are investigated using the WDD-scheme in slab geometry as an example. Theoretical convergence estimates and test calculations are provided.

Keywords: radiative heat transfer, iteration method, finite-difference scheme.

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English version:
Mathematical Models and Computer Simulations, 2013, 5:6, 527–533

Bibliographic databases:

UDC: 519.6
Received: 05.03.2012

Citation: V. V. Zaviyalov, “On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering”, Matem. Mod., 25:4 (2013), 74–82; Math. Models Comput. Simul., 5:6 (2013), 527–533

Citation in format AMSBIB
\Bibitem{Zav13}
\by V.~V.~Zaviyalov
\paper On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 4
\pages 74--82
\mathnet{http://mi.mathnet.ru/mm3353}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3114886}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 6
\pages 527--533
\crossref{https://doi.org/10.1134/S2070048213060136}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929073168}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Zavyalov, “Primenenie usechennogo metoda Nyutona dlya chislennogo resheniya zadach perenosa teplovogo izlucheniya”, Matem. modelirovanie, 28:3 (2016), 133–136  mathnet  elib
  • Математическое моделирование
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