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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 4, Pages 419–428
DOI: https://doi.org/10.15372/SJNM20160406 (Mi sjvm627) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Quadrature interpolation type formulas for hypersingular integrals in the interval of integration

L. Yu. Plievaab

a Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, 53 Vatutin str., Vladikavkaz, 362025, Russia
b K. L. Khetagurov North Ossetian State University, 44 Vatutin str., Vladikavkaz, 362025, Russia
Full-text PDF (376 kB) Citations (6)
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DOI: https://doi.org/10.15372/SJNM20160406
Abstract: A hypersingular integral on the interval of integration with the weight function is considered. We prove the spectral ratios for hypersingular integrals on $[-1,1]$. The quadrature formulas for certain integrals with the weight function are constructed. The estimation error is presented.
Key words: hypersingular integral, quadrature formula, the estimation error.
Received: 22.06.2015
Revised: 16.12.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 4, Pages 326–334
DOI: https://doi.org/10.1134/S1995423916040066
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
Citation: L. Yu. Plieva, “Quadrature interpolation type formulas for hypersingular integrals in the interval of integration”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 419–428; Num. Anal. Appl., 9:4 (2016), 326–334
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    1. I. V. Boikov, A. I. Boikova, “Ob odnom metode postroeniya kvadraturnykh formul dlya vychisleniya gipersingulyarnykh integralov”, Sib. zhurn. vychisl. matem., 25:3 (2022), 249–267  mathnet  crossref
    2. I. V Boikov, A. I Boikova, “On a Method of Constructing Quadrature Formulas for Computing Hypersingular Integrals”, Numer. Analys. Appl., 15:3 (2022), 203  crossref
    3. H A Amirjanyan, A V Sahakyan, A K Kukudzhanov, “Quadrature formulas for Cauchy-type integrals with the Cauchy kernel to a integer power and a Jacobi weight function with complex exponents”, J. Phys.: Conf. Ser., 2231:1 (2022), 012020  crossref
    4. I. V. Boykov, P. V. Aykashev, “Approximate Methods for Calculating Hypersingular Integrals”, Tech. Phys., 67:6 (2022), 448  crossref
    5. I. V. Boikov, A. I. Boikova, “Optimalnye po tochnosti metody vychisleniya gipersingulyarnykh integralov”, Zhurnal SVMO, 23:4 (2021), 360–378  mathnet  crossref
    6. I. V. Boikov, P. V. Aikashev, “Priblizhennye metody vychisleniya gipersingulyarnykh integralov”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2021, no. 1, 66–84  mathnet  crossref
    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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