Email this article On One Problem of Calculating a Two-Dimensional Convolution with an Exponential Kernel
- Authors: Korotkin A.A.1, Maksimov A.A.1, Strelkov N.A.1
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Affiliations:
- Yaroslavl State University
- Issue: Vol 58, No 11 (2018)
- Pages: 1708-1715
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179907
- DOI: https://doi.org/10.1134/S0965542518110076
- ID: 179907
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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.
About the authors
A. A. Korotkin
Yaroslavl State University
Author for correspondence.
Email: alakor@yandex.ru
Russian Federation, Yaroslavl, 150000
A. A. Maksimov
Yaroslavl State University
Author for correspondence.
Email: alexmaksimoff@yandex.ru
Russian Federation, Yaroslavl, 150000
N. A. Strelkov
Yaroslavl State University
Author for correspondence.
Email: strelkov@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000
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