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On one problem of calculating a two-dimensional convolution with an exponential kernel
A. A. Korotkin, A. A. Maksimov, N. A. Strelkov Yaroslavl State University, Yaroslavl, Russia
Abstract:
The paper presents an algorithm for calculating a two-dimensional discrete convolution with an exponential kernel by solving a boundary value problem for an equation with a second-order finite-difference operator. To solve the boundary value problem, a one-step iterative process converging with a rate of a geometric progression is developed.
Key words:
two-dimensional discrete convolution, finite-difference operator, boundary value problem.
DOI:
https://doi.org/10.31857/S004446690003531-5
References:
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English version:
Computational Mathematics and Mathematical Physics, 2018, 58:11, 1708–1715
Bibliographic databases:
UDC:
681.3 Received: 03.10.2017
Citation:
A. A. Korotkin, A. A. Maksimov, N. A. Strelkov, “On one problem of calculating a two-dimensional convolution with an exponential kernel”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1771–1779; Comput. Math. Math. Phys., 58:11 (2018), 1708–1715
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/zvmmf10850 http://mi.mathnet.ru/eng/zvmmf/v58/i11/p1771
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