On the Chebyshev quadrature rule of finite part integrals

Philsu Kim; Soyoung Ahn; U. Jin Choi

doi:10.1016/j.cam.2004.10.007

On the Chebyshev quadrature rule of finite part integrals

Philsu Kim
, Soyoung Ahn
, U. Jin Choi

Korea Advanced Institute of Science and Technology

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

3 Scopus citations

Abstract

The stability and the convergence of the Chebyshev quadrature rule of one-sided finite part integrals (J. Approx. Theory 111 (2001) 196-219) is considered with some numerical examples. The three-term recurrence relation is suggested for computing the quadrature weights.

Original language	English
Pages (from-to)	147-159
Number of pages	13
Journal	Journal of Computational and Applied Mathematics
Volume	180
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2004.10.007
State	Published - 1 Aug 2005

Keywords

Chebyshev interpolation
Finite part integrals

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10.1016/j.cam.2004.10.007

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title = "On the Chebyshev quadrature rule of finite part integrals",

abstract = "The stability and the convergence of the Chebyshev quadrature rule of one-sided finite part integrals (J. Approx. Theory 111 (2001) 196-219) is considered with some numerical examples. The three-term recurrence relation is suggested for computing the quadrature weights.",

keywords = "Chebyshev interpolation, Finite part integrals",

author = "Philsu Kim and Soyoung Ahn and Choi, \{U. Jin\}",

year = "2005",

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T1 - On the Chebyshev quadrature rule of finite part integrals

AU - Kim, Philsu

AU - Ahn, Soyoung

AU - Choi, U. Jin

PY - 2005/8/1

Y1 - 2005/8/1

N2 - The stability and the convergence of the Chebyshev quadrature rule of one-sided finite part integrals (J. Approx. Theory 111 (2001) 196-219) is considered with some numerical examples. The three-term recurrence relation is suggested for computing the quadrature weights.

AB - The stability and the convergence of the Chebyshev quadrature rule of one-sided finite part integrals (J. Approx. Theory 111 (2001) 196-219) is considered with some numerical examples. The three-term recurrence relation is suggested for computing the quadrature weights.

KW - Chebyshev interpolation

KW - Finite part integrals

UR - https://www.scopus.com/pages/publications/17644421399

U2 - 10.1016/j.cam.2004.10.007

DO - 10.1016/j.cam.2004.10.007

M3 - Article

AN - SCOPUS:17644421399

SN - 0377-0427

VL - 180

SP - 147

EP - 159

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

On the Chebyshev quadrature rule of finite part integrals

Abstract

Keywords

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