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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 114–123
DOI: https://doi.org/10.14498/vsgtu708 (Mi vsgtu708) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Statistical estimates for the degrees of Green operator

A. N. Kuznetsov, A. S. Sipin

Dept. of Applied Mathematics, Vologda State Pedagogical University, Vologda
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DOI: https://doi.org/10.14498/vsgtu708
Abstract: In this paper we examine known and some new algorithms for calculation of degrees of Green operator using Monte Carlo methods. Statistical estimations used for solving Dirichlet problem for Helmholtz equation with complex parameter. The efficiency of numerical realization of these algorithms is also considered.
Keywords: Monte Carlo method, Helmholtz equation, analytical continuation, Green function, Green operator.
Original article submitted 19/VII/2009
revision submitted – 16/VIII/2009
Bibliographic databases:
Document Type: Article
UDC: 519.245+519.632.4
MSC: 65С05, 35J05
Language: Russian
Citation: A. N. Kuznetsov, A. S. Sipin, “Statistical estimates for the degrees of Green operator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 114–123
Citation in format AMSBIB
\Bibitem{KuzSip09}
\by A.~N.~Kuznetsov, A.~S.~Sipin
\paper Statistical estimates for the degrees of Green operator
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 114--123
\mathnet{http://mi.mathnet.ru/vsgtu708}
\crossref{https://doi.org/10.14498/vsgtu708}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p114
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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