Loading [MathJax]/jax/output/SVG/config.js
Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Model.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskoe modelirovanie, 2013, Volume 25, Number 3, Pages 3–13 (Mi mm3337)  
This article is cited in 3 scientific papers (total in 3 papers)

A method of computing nodes and weights of the Gauss–Christoffel quadratures

I. V. Anisimova, R. R. Ginijatullina, V. N. Ignatiev

Tupolev Kazan National Research Technical University (KNITU-KAI)
Full-text PDF (280 kB) Citations (3)
References:
PDF
HTML
Abstract: In this paper we propose a new efficient numerical method for determining the nodes and weights for quadrature formulas of Gauss, which is adapted to calculate the integrals with rapidly oscillating integrand. In particular, the application, the method used for the integrals of the kinetic theory of gases.
Keywords: orthogonal polynomials, Gaussian quadrature, the nodes and weights, the existence and uniqueness, iterative process, a rapidly oscillating integrand.
Received: 23.01.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 5, Pages 448–455
DOI: https://doi.org/10.1134/S2070048213050025
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: I. V. Anisimova, R. R. Ginijatullina, V. N. Ignatiev, “A method of computing nodes and weights of the Gauss–Christoffel quadratures”, Mat. Model., 25:3 (2013), 3–13; Math. Models Comput. Simul., 5:5 (2013), 448–455
Citation in format AMSBIB
\Bibitem{AniGinIgn13}
\by I.~V.~Anisimova, R.~R.~Ginijatullina, V.~N.~Ignatiev
\paper A method of computing nodes and weights of the Gauss--Christoffel quadratures
\jour Mat. Model.
\yr 2013
\vol 25
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/mm3337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112318}
\elib{https://elibrary.ru/item.asp?id=21276849}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 5
\pages 448--455
\crossref{https://doi.org/10.1134/S2070048213050025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929088417}
Linking options:
  • https://www.mathnet.ru/eng/mm3337
  • https://www.mathnet.ru/eng/mm/v25/i3/p3
    • This publication is cited in the following 3 articles:
    1. I. V. Anisimova, V. N. Ignatev, E. Yu. Lapteva, “Opredelenie znachenii perenosnykh kharakteristik v mnogokomponentnykh sredakh na osnove analiza mikroprotsessov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2023, no. 81, 49–56  mathnet  crossref
    2. Anisimova I.V., Ignat'ev V.N., 12Th International Conference - Mesh Methods For Boundary: Value Problems and Applications, Journal of Physics Conference Series, 1158, IOP Publishing Ltd, 2019  crossref  isi
    3. I. V. Anisimova, Yu. F. Gortyshov, V. N. Ignat'ev, “Function evaluation of the molecular scattering angle in multicomponent gaseous medium”, Russ. Aeronaut., 58:2 (2015), 187  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
    Statistics & downloads:
    Abstract page:632
    Full-text PDF :375
    References:89
    First page:24
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025