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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 263–270
(Mi timm1279)
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This article is cited in 6 scientific papers (total in 6 papers)
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.
Received: 26.02.2015
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
Linking options:
https://www.mathnet.ru/eng/timm1279 https://www.mathnet.ru/eng/timm/v22/i1/p263
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Abstract page: | 271 | Full-text PDF : | 80 | References: | 52 | First page: | 18 |
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