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Matematicheskoe modelirovanie, 1992, Volume 4, Number 4, Pages 89–100
(Mi mm2069)
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This article is cited in 1 scientific paper (total in 1 paper)
Computational methods and algorithms
Some regularizing algorithms for the solution of integral equations of the first kind with a priori restrictions
V. P. Zagonov, S. V. Podolyako M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract:
An approach to the construction of regularizing algorithms is considered in the problem of finding a stable approximate solution of the operator equation $Au=f$, where $A$ is a continuous operator from $C[a,b]$ to a normed linear space $F$, when there are a priori restrictions on the exact solution $u(x)$. The method is numerically implemented for the solution of Volterra integral equations and Fredholm integral equations of the first kind, when there is a priori information of various types. The algorithm is realized in the form of a program for IBM PC AT. In the finite-dimensional approximation the irregular grids for the right-hand side, the kernel and the desired solution of the equation are used. Such grids are useful in application of the algorithm to specific practical problems.
Received: 13.02.1991
Citation:
V. P. Zagonov, S. V. Podolyako, “Some regularizing algorithms for the solution of integral equations of the first kind with a priori restrictions”, Matem. Mod., 4:4 (1992), 89–100
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https://www.mathnet.ru/eng/mm2069 https://www.mathnet.ru/eng/mm/v4/i4/p89
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Abstract page: | 327 | Full-text PDF : | 136 | First page: | 1 |
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