Numerical Quadrature of Periodic Singular Integral Equations

Steen Krenk

doi:10.1093/imamat/21.2.181

Numerical Quadrature of Periodic Singular Integral Equations

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

This paper presents quadrature formulae for the numerical integration of a singular integral equation with Hilbert kernel. The formulae are based on trigonometric interpolation. By integration a quadrature formula for an integral with a logarithmic singularity is obtained. Finally it is demonstrated how a singular integral equation with infinite support can be solved by use of the preceding formulae.

Original language	English
Journal	Institute of Mathematics and Its Applications. Journal
Volume	21
Issue number	2
Pages (from-to)	181-187
ISSN	0020-2932
DOIs	https://doi.org/10.1093/imamat/21.2.181
Publication status	Published - 1978

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10.1093/imamat/21.2.181

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title = "Numerical Quadrature of Periodic Singular Integral Equations",

abstract = "This paper presents quadrature formulae for the numerical integration of a singular integral equation with Hilbert kernel. The formulae are based on trigonometric interpolation. By integration a quadrature formula for an integral with a logarithmic singularity is obtained. Finally it is demonstrated how a singular integral equation with infinite support can be solved by use of the preceding formulae.",

author = "Steen Krenk",

year = "1978",

doi = "10.1093/imamat/21.2.181",

language = "English",

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journal = "Journal of the Institute of Mathematics and Its Applications",

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PY - 1978

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AB - This paper presents quadrature formulae for the numerical integration of a singular integral equation with Hilbert kernel. The formulae are based on trigonometric interpolation. By integration a quadrature formula for an integral with a logarithmic singularity is obtained. Finally it is demonstrated how a singular integral equation with infinite support can be solved by use of the preceding formulae.

U2 - 10.1093/imamat/21.2.181

DO - 10.1093/imamat/21.2.181

M3 - Journal article

VL - 21

SP - 181

EP - 187

JO - Journal of the Institute of Mathematics and Its Applications

JF - Journal of the Institute of Mathematics and Its Applications

SN - 0020-2932

IS - 2

ER -

Numerical Quadrature of Periodic Singular Integral Equations

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