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Sbornik: Mathematics, 2002, Volume 193, Issue 10, Pages 1397–1410
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000683
(Mi sm683)
 

This article is cited in 8 scientific papers (total in 8 papers)

Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function

G. M. Vainikkoa, N. V. Lebedevab, I. K. Lifanovb

a Helsinki University of Technology
b N.E. Zhukovsky Military Engineering Academy
References:
Abstract: A version of the method of discrete vortices is proposed for the numerical integration of a singular and a hypersingular integral equation of the first kind on an interval in the case when the right-hand side of the equation contains a delta function.
Received: 10.01.2002 and 20.06.2002
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 10, Pages 3–16
DOI: https://doi.org/10.4213/sm683
Bibliographic databases:
UDC: 517
MSC: Primary 65R20; Secondary 76B10
Language: English
Original paper language: Russian
Citation: G. M. Vainikko, N. V. Lebedeva, I. K. Lifanov, “Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function”, Mat. Sb., 193:10 (2002), 3–16; Sb. Math., 193:10 (2002), 1397–1410
Citation in format AMSBIB
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\paper Numerical solution of a~singular and a~hypersingular integral equation on an~interval and the~delta function
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\issue 10
\pages 3--16
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Linking options:
  • https://www.mathnet.ru/eng/sm683
  • https://doi.org/10.1070/SM2002v193n10ABEH000683
  • https://www.mathnet.ru/eng/sm/v193/i10/p3
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:634
    Russian version PDF:340
    English version PDF:23
    References:73
    First page:1
     
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