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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 1, Pages 3–11 (Mi vmj490)  

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

Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving

A. V. Vasil'eva, V. B. Vasil'evb

a Belgorod State University, Belgorod, Russia
b Lipetsk State Technical University, Lipetsk, Russia
Full-text PDF (222 kB) Citations (2)
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Abstract: The error estimate for continuous singular integral and the discrete ones in multi-dimensional space is obtained. The use of fast Fourier transform for finding approximate solutions for equations with such operators is suggested.
Key words: Calderon–Zygmund kernel, symbol, discrete singular integral operator, approximate solution, fast Fourier transform.
Received: 24.04.2013
Document Type: Article
UDC: 517.968
Language: Russian
Citation: A. V. Vasil'ev, V. B. Vasil'ev, “Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving”, Vladikavkaz. Mat. Zh., 16:1 (2014), 3–11
Citation in format AMSBIB
\Bibitem{VasVas14}
\by A.~V.~Vasil'ev, V.~B.~Vasil'ev
\paper Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/vmj490}
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  • https://www.mathnet.ru/eng/vmj/v16/i1/p3
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Владикавказский математический журнал
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