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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… Click to show full 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.

Keywords: convolution exponential; problem; calculating two; two dimensional; exponential kernel

Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2018

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