Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels

Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels

The article is devoted to the issue of construction of an optimal with respect to order passive algorithms for evaluating Cauchy and Hilbert singular and hypersingular integrals with oscillating kernels. We propose a method for estimating lower bound errors of quadrature formulas for singular and hy...

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Bibliographic Details
Main Authors: Ilya Boykov, Vladimir Roudnev, Alla Boykova
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Axioms
Subjects:
singular integrals
hypersingular integrals
optimal quadrature formulas
oscillating kernels
error estimation
Online Access:https://www.mdpi.com/2075-1680/11/4/150

Internet

https://www.mdpi.com/2075-1680/11/4/150

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