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University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 4, Pages 54–69 (Mi ivpnz712)  

This article is cited in 11 scientific papers (total in 11 papers)

Mathematics

Numerical solution of a volumetric singular integral equation by the collocation method

M. Yu. Medvedik, Yu. G. Smirnov

Penza State University, Penza
References:
Abstract: Numerical collocation method for solving singular integro-differential equation on dielectric body located in rectangular waveguide is considered. Inverse electromagnetic boundary value problem for determination of effective permittivity of the body is also considered. The formulas of matrix coefficients for collocation method are presented. Numerical results for solution of singular integro-differential equation by collocation method as well as numerical results for determination of effective permittivity of the body in waveguide are presented.
Keywords: inverse electromagnetic boundary value problem, electromagnetic scattering, integro-differential equation, collocation method.
UDC: 517.9
Language: Russian
Citation: M. Yu. Medvedik, Yu. G. Smirnov, “Numerical solution of a volumetric singular integral equation by the collocation method”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4, 54–69
Citation in format AMSBIB
\Bibitem{MedSmi09}
\by M.~Yu.~Medvedik, Yu.~G.~Smirnov
\paper Numerical solution of a volumetric singular integral equation by the collocation method
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2009
\issue 4
\pages 54--69
\mathnet{http://mi.mathnet.ru/ivpnz712}
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  • https://www.mathnet.ru/eng/ivpnz/y2009/i4/p54
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    University proceedings. Volga region. Physical and mathematical sciences
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