On One Problem of Calculating a Two-Dimensional Convolution with an Exponential Kernel


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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.

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A. Korotkin

Yaroslavl State University

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Email: alakor@yandex.ru
俄罗斯联邦, Yaroslavl, 150000

A. Maksimov

Yaroslavl State University

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Email: alexmaksimoff@yandex.ru
俄罗斯联邦, Yaroslavl, 150000

N. Strelkov

Yaroslavl State University

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Email: strelkov@uniyar.ac.ru
俄罗斯联邦, Yaroslavl, 150000

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