Standard

Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels. / Boykov, Ilya; Roudnev, Vladimir; Boykova, Alla.

In: Axioms, Vol. 11, No. 4, 150, 01.04.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Boykov, I, Roudnev, V & Boykova, A 2022, 'Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels', Axioms, vol. 11, no. 4, 150. https://doi.org/10.3390/axioms11040150

APA

Boykov, I., Roudnev, V., & Boykova, A. (2022). Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels. Axioms, 11(4), [150]. https://doi.org/10.3390/axioms11040150

Vancouver

Boykov I, Roudnev V, Boykova A. Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels. Axioms. 2022 Apr 1;11(4). 150. https://doi.org/10.3390/axioms11040150

Author

Boykov, Ilya ; Roudnev, Vladimir ; Boykova, Alla. / Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels. In: Axioms. 2022 ; Vol. 11, No. 4.

BibTeX

@article{249958870c654839a9c2d7bfc0d11b10,
title = "Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels",
abstract = "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 hypersingular integral evaluation. Quadrature formulas were constructed for implementation of the obtained estimates. We constructed quadrature formulas and estimated the errors for hypersingular integrals with oscillating kernels. This method is based on using similar results obtained for singular integrals.",
keywords = "error estimation, hypersingular integrals, optimal quadrature formulas, oscillating kernels, singular integrals",
author = "Ilya Boykov and Vladimir Roudnev and Alla Boykova",
year = "2022",
month = apr,
day = "1",
doi = "10.3390/axioms11040150",
language = "English",
volume = "11",
journal = "Axioms",
issn = "2075-1680",
publisher = "MDPI AG",
number = "4",

}

RIS

TY - JOUR

T1 - Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels

AU - Boykov, Ilya

AU - Roudnev, Vladimir

AU - Boykova, Alla

PY - 2022/4/1

Y1 - 2022/4/1

N2 - 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 hypersingular integral evaluation. Quadrature formulas were constructed for implementation of the obtained estimates. We constructed quadrature formulas and estimated the errors for hypersingular integrals with oscillating kernels. This method is based on using similar results obtained for singular integrals.

AB - 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 hypersingular integral evaluation. Quadrature formulas were constructed for implementation of the obtained estimates. We constructed quadrature formulas and estimated the errors for hypersingular integrals with oscillating kernels. This method is based on using similar results obtained for singular integrals.

KW - error estimation

KW - hypersingular integrals

KW - optimal quadrature formulas

KW - oscillating kernels

KW - singular integrals

UR - http://www.scopus.com/inward/record.url?scp=85127628186&partnerID=8YFLogxK

U2 - 10.3390/axioms11040150

DO - 10.3390/axioms11040150

M3 - Article

AN - SCOPUS:85127628186

VL - 11

JO - Axioms

JF - Axioms

SN - 2075-1680

IS - 4

M1 - 150

ER -

ID: 101703917