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

 Trudy Inst. Mat. i Mekh. UrO RAN: Year: Volume: Issue: Page: Find

 Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 1, Pages 263–270 (Mi timm1279)

On estimating the error of an approximate solution caused by the discretization of an integral equation of the first kind

V. P. Tanana, A. I. Sidikova

South Ural State University, Chelyabinsk

Abstract: A regularizing algorithm for the approximate solution of integral equations of the first kind is investigated. The algorithm involves a finite-dimensional approximation of the problem; more exactly, the integral equation is discretized in two variables. An error estimate of the algorithm is obtained with the use of the equivalence of the generalized discrepancy method and the generalized discrepancy principle.

Keywords: regularization, error estimate, ill-posed problem.

Full text: PDF file (139 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 299, suppl. 1, 217–224

Bibliographic databases:

UDC: 517.948

Citation: V. P. Tanana, A. I. Sidikova, “On estimating the error of an approximate solution caused by the discretization of an integral equation of the first kind”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 263–270; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 217–224

Citation in format AMSBIB
\Bibitem{TanSid16} \by V.~P.~Tanana, A.~I.~Sidikova \paper On estimating the error of an approximate solution caused by the discretization of an integral equation of the first kind \serial Trudy Inst. Mat. i Mekh. UrO RAN \yr 2016 \vol 22 \issue 1 \pages 263--270 \mathnet{http://mi.mathnet.ru/timm1279} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3497203} \elib{https://elibrary.ru/item.asp?id=25655617} \transl \jour Proc. Steklov Inst. Math. (Suppl.) \yr 2017 \vol 299 \issue , suppl. 1 \pages 217--224 \crossref{https://doi.org/10.1134/S0081543817090231} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000425144600022} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042166113}