A piecewise linear quadrature of Cauchy singular integrals

Philsu Kim; Sungyun Lee

doi:10.1016/S0377-0427(98)00075-2

A piecewise linear quadrature of Cauchy singular integrals

Philsu Kim
, Sungyun Lee

Korea Advanced Institute of Science and Technology

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

8 Scopus citations

Abstract

The aim of this paper is to develop an algorithm for the quadrature weights induced by the piecewise polynomial quadrature of Cauchy singular integrals. We present a simple calculation scheme for the quadrature weights. Some numerical test problems are given.

Original language	English
Pages (from-to)	101-115
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	95
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(98)00075-2
State	Published - 28 Aug 1998

Keywords

Cauchy singular integral equation
Piecewise polynomial quadrature
Quadrature weight

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10.1016/S0377-0427(98)00075-2

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title = "A piecewise linear quadrature of Cauchy singular integrals",

abstract = "The aim of this paper is to develop an algorithm for the quadrature weights induced by the piecewise polynomial quadrature of Cauchy singular integrals. We present a simple calculation scheme for the quadrature weights. Some numerical test problems are given.",

keywords = "Cauchy singular integral equation, Piecewise polynomial quadrature, Quadrature weight",

author = "Philsu Kim and Sungyun Lee",

year = "1998",

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T1 - A piecewise linear quadrature of Cauchy singular integrals

AU - Kim, Philsu

AU - Lee, Sungyun

PY - 1998/8/28

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N2 - The aim of this paper is to develop an algorithm for the quadrature weights induced by the piecewise polynomial quadrature of Cauchy singular integrals. We present a simple calculation scheme for the quadrature weights. Some numerical test problems are given.

AB - The aim of this paper is to develop an algorithm for the quadrature weights induced by the piecewise polynomial quadrature of Cauchy singular integrals. We present a simple calculation scheme for the quadrature weights. Some numerical test problems are given.

KW - Cauchy singular integral equation

KW - Piecewise polynomial quadrature

KW - Quadrature weight

UR - https://www.scopus.com/pages/publications/0032139299

U2 - 10.1016/S0377-0427(98)00075-2

DO - 10.1016/S0377-0427(98)00075-2

M3 - Article

AN - SCOPUS:0032139299

SN - 0377-0427

VL - 95

SP - 101

EP - 115

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

A piecewise linear quadrature of Cauchy singular integrals

Abstract

Keywords

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