Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find




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

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 4, Pages 24–41 (Mi uzku1333)  
This article is cited in 1 scientific paper (total in 1 paper)

Spline-interpolation solution of elasticity theory problems

P. N. Ivanshin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (575 kB) Citations (1)
References:
PDF
HTML
Abstract: A spline-interpolation solution of static and dynamic elasticity theory problems is suggested. The method allows to solve the problems for solids with plane sections parallel to the plane $XOY$. We reduce space and dynamic problems to the series of plane boundary-value problems. The recursive formulas are obtained to determine the spline coefficients. The convergence of the constructed approximate solutions to the exact solutions is proved.
Keywords: spline interpolation, elasticity theory, dynamic problem, polyharmonic functions.
Received: 29.05.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9+531
Language: Russian
Citation: P. N. Ivanshin, “Spline-interpolation solution of elasticity theory problems”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 4, Kazan University, Kazan, 2015, 24–41
Citation in format AMSBIB
\Bibitem{Iva15}
\by P.~N.~Ivanshin
\paper Spline-interpolation solution of elasticity theory problems
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 4
\pages 24--41
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1333}
\elib{https://elibrary.ru/item.asp?id=25005277}
Linking options:
  • https://www.mathnet.ru/eng/uzku1333
  • https://www.mathnet.ru/eng/uzku/v157/i4/p24
    • 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
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:312
    Full-text PDF :151
    References:56
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024