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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 11, Pages 1771–1779 (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

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: PDF file   HTML file

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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\vol 58
\issue 11
\pages 1771--1779
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    		• Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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