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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 11, Pages 1771–1779
DOI: https://doi.org/10.31857/S004446690003531-5
(Mi zvmmf10850)
 

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
References:
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.
Received: 03.10.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1708–1715
DOI: https://doi.org/10.1134/S0965542518110076
Bibliographic databases:
Document Type: Article
UDC: 681.3
Language: Russian
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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\vol 58
\issue 11
\pages 1771--1779
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