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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 2, Pages 179–184 (Mi sjvm393)  
This article is cited in 1 scientific paper (total in 1 paper)

The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem

A. O. Savchenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: The equations for optimal subgrid points and quadrature coefficients in the problems of numerical solution of integral Volterra equations and the Cauchy problem are obtained. The optimality is regarded as the minimum of the sum of squares of approximation errors in all subgrid points under condition that the last subgrid point is equal to the right end of the subgrid. The optimal points are numerically found for various numbers of subgrid points.
Received: 24.04.2000
Revised: 27.11.2000
Bibliographic databases:
Document Type: Article
UDC: 518.5+512.83
Language: Russian
Citation: A. O. Savchenko, “The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem”, Sib. Zh. Vychisl. Mat., 4:2 (2001), 179–184
Citation in format AMSBIB
\Bibitem{Sav01}
\by A.~O.~Savchenko
\paper The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 2
\pages 179--184
\mathnet{http://mi.mathnet.ru/sjvm393}
\zmath{https://zbmath.org/?q=an:0973.65132}
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  • https://www.mathnet.ru/eng/sjvm393
  • https://www.mathnet.ru/eng/sjvm/v4/i2/p179
    • This publication is cited in the following 1 articles:
    1. A. O. Savchenko, “Chislennyi metod resheniya integralnykh uravnenii Volterra so slaboi singulyarnostyu”, Sib. zhurn. vychisl. matem., 6:2 (2003), 181–195  mathnet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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