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Matematicheskoe modelirovanie, 2015, Volume 27, Number 4, Pages 81–96 (Mi mm3592)  
This article is cited in 7 scientific papers (total in 7 papers)

Solution of integral equations by means of subhierarchic method for generalized computational grids

M. Y. Medvedik

Penza State University
Full-text PDF (769 kB) Citations (7)
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Abstract: The application subhierarchic method to integral equations for generalized computational grids. The justification of the subhierarchic method was produced. Numerical results for the problem of diffraction by a nonplanar perfectly conducting screen are presented.
Keywords: subhierarchic method, integral equation, numerical methods, generalized matrix, generalized computational grid.
Received: 26.08.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 6, Pages 570–580
DOI: https://doi.org/10.1134/S207004821506006X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. Y. Medvedik, “Solution of integral equations by means of subhierarchic method for generalized computational grids”, Mat. Model., 27:4 (2015), 81–96; Math. Models Comput. Simul., 7:6 (2015), 570–580
Citation in format AMSBIB
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\by M.~Y.~Medvedik
\paper Solution of integral equations by means of subhierarchic method for generalized computational grids
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\vol 27
\issue 4
\pages 81--96
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\elib{https://elibrary.ru/item.asp?id=24850014}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
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\pages 570--580
\crossref{https://doi.org/10.1134/S207004821506006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947441051}
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  • https://www.mathnet.ru/eng/mm3592
  • https://www.mathnet.ru/eng/mm/v27/i4/p81
    • This publication is cited in the following 7 articles:
    1. Mikhail Medvedik, Andrey Lapich, Oleg Kondyrev, Lecture Notes in Computer Science, 15406, Supercomputing, 2025, 85  crossref
    2. A. O. Lapich, M. Y. Medvedik, “Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems”, jour, 166:3 (2024), 395  crossref
    3. A. O. Lapich, M. Yu. Medvedik, “Metod mikrovolnovoi tomografii dlya resheniya obratnoi zadachi na telakh tsilindricheskoi formy”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2024, no. 1, 107–117  mathnet  crossref
    4. A. O. Lapich, M. Yu. Medvedik, “Algorithm of the Search for Inhomogeneities in the Inverse Nonlinear Diffraction Problems”, Tech. Phys., 69:9 (2024), 2454  crossref
    5. A. O. Lapich, M. Yu. Medvedik, “An Iterative Scheme for Solving a Lippmann–Schwinger Nonlinear Integral Equation by the Galerkin Method”, Tech. Phys. Lett., 49:6 (2023), 67  crossref
    6. A. O. Lapich, M. Yu. Medvedik, “Solution of a scalar two-dimensional nonlinear diffraction problem for objects of arbitrary shape”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 165:2 (2023), 167–177  mathnet  mathnet  crossref
    7. Mikhail Medvedik, Marina Moskaleva, Yury Smirnov, Communications in Computer and Information Science, 965, Supercomputing, 2019, 114  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:52
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