Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 4(25), Pages 82–92
DOI: https://doi.org/10.14498/vsgtu962 (Mi vsgtu962) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem

A. N. Kuznetsov, I. A. Rytenkova, A. S. Sipin

Dept. of Applied Mathematics, Vologda State Pedagogical University, Vologda
Full-text PDF (265 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu962
Abstract: In this paper, we examine the algorithm for computing the powers of a Green operator and the first eigenvalue for the Dirichlet boundary value problem using Monte–Carlo method. The efficiency of numerical realization of these algorithms is also discussed.
Keywords: Monte-Carlo method, eigenvalues of the Dirichlet boundary value problem, Green function, Green operator, distributed computing.
Original article submitted 11/V/2011
revision submitted – 15/XI/2011
Bibliographic databases:
Document Type: Article
UDC: 519.245; 519.632.4
MSC: Primary 65С05; Secondary 35J08
Language: Russian
Citation: A. N. Kuznetsov, I. A. Rytenkova, A. S. Sipin, “Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 82–92
Citation in format AMSBIB
\Bibitem{KuzRytSip11}
\by A.~N.~Kuznetsov, I.~A.~Rytenkova, A.~S.~Sipin
\paper Monte--Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 4(25)
\pages 82--92
\mathnet{http://mi.mathnet.ru/vsgtu962}
\crossref{https://doi.org/10.14498/vsgtu962}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu962
  • https://www.mathnet.ru/eng/vsgtu/v125/p82
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:684
    Full-text PDF :349
    References:88
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025