Title of article
A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function
Author/Authors
Hunter، نويسنده , , D.B. and Smith، نويسنده , , H.V.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
12
From page
389
To page
400
Abstract
We investigate a method for the numerical evaluation of integrals over [ - 1 , 1 ] of functions of the form ( 1 - x 2 ) λ - 1 / 2 f ( x ) , based on approximating f ( x ) by a finite Chebyshev expansion. Error bounds are obtained, and the method is illustrated by an example.
Keywords
Gegenbauer weight-function , Clenshaw–Curtis quadrature , Chebyshev polynomials , Numerical Integration
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2005
Journal title
Journal of Computational and Applied Mathematics
Record number
1552876
Link To Document