Title
Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space
Abstract
In the present paper in L 2 ( m ) ( - 1 , 1 ) space the optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.
Year
DOI
Venue
2015
10.1016/j.amc.2015.04.066
Applied Mathematics and Computation
Keywords
Field
DocType
Optimal quadrature formula,Singular integral of the Cauchy type,Sobolev space
Gauss–Kronrod quadrature formula,Mathematical optimization,Singular integral,Mathematical analysis,Cauchy's integral formula,Clenshaw–Curtis quadrature,Quadrature (mathematics),Cauchy's integral theorem,Gauss–Jacobi quadrature,Cauchy principal value,Mathematics
Journal
Volume
Issue
ISSN
263
C
0096-3003
Citations 
PageRank 
References 
1
0.48
1
Authors
3