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Matematicheskoe modelirovanie, 2015, Volume 27, Number 7, Pages 103–110 (Mi mm3629)  

This article is cited in 1 scientific paper (total in 1 paper)

Analytical calculations of derivation partial differential equations for coefficient Kantorovich functions

A. L. Sevastyanova, L. A. Sevastianovba, A. A. Tyutyunnika

a Peoples' Friendship University of Russia, 6, Mikluho-Maklaya Street, Moscow, 117198, Russia
b Joint Institute for Nuclear Research, 6, Joliot-Curie Street, 141980, Dubna, Moscow Region
Full-text PDF (266 kB) Citations (1)
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Abstract: We consider application Kantorovich method to the solution of Maxwell's equations in an integrated optical waveguide with an irregular change of parameters along two horizontal directions. We conducted analytic calculations to find a system of differential equations for the coefficient Kantorovich functions using computer algebra system Maple.
Keywords: integrated optics, smoothly-irregular waveguides, adiabatic waveguide modes, numerical modeling, coefficient functions, analytical calculations.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00595
14-01-00628
Received: 30.03.2015
Bibliographic databases:
Document Type: Article
UDC: 517.15:517.95:519.62:535.4:621.38
Language: Russian
Citation: A. L. Sevastyanov, L. A. Sevastianov, A. A. Tyutyunnik, “Analytical calculations of derivation partial differential equations for coefficient Kantorovich functions”, Matem. Mod., 27:7 (2015), 103–110
Citation in format AMSBIB
\Bibitem{SevSevTyu15}
\by A.~L.~Sevastyanov, L.~A.~Sevastianov, A.~A.~Tyutyunnik
\paper Analytical calculations of derivation partial differential equations for coefficient Kantorovich functions
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 7
\pages 103--110
\mathnet{http://mi.mathnet.ru/mm3629}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3545733}
\elib{https://elibrary.ru/item.asp?id=24850061}
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  • https://www.mathnet.ru/eng/mm/v27/i7/p103
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математическое моделирование
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    Abstract page:284
    Full-text PDF :95
    References:41
    First page:8
     
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