Paper Info
Title
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
Abstract
In this paper we investigate the Szego-Radau and Szego-Lobatto quadrature formulas on the unit circle. These are (n+m)-point formulas for which m nodes are fixed in advance, with m=1 and m=2 respectively, and which have a maximal domain of validity in the space of Laurent polynomials. This means that the free parameters (free nodes and positive weights) are chosen such that the quadrature formula is exact for all powers z^j, -p@?j@?p, with p=p(n,m) as large as possible.
Year
DOI
Venue
2009
10.1016/j.cam.2009.05.019
J. Computational Applied Mathematics
Keywords
Field
DocType
error estimates.,free parameter,free node,laurent polynomials,unit circle,m node,laurent polynomial,szego-lobatto quadrature formula,quadrature formula,interpolatory quadrature,positive weight,maximal domain,gauss-lobatto quadrature,point formula,prescribed node,rational function
Polynomial,Mathematical analysis,Numerical integration,Unit circle,Numerical approximation,Quadrature (mathematics),Numerical analysis,Mathematics,Free parameter
Journal
Volume
Issue
ISSN
231
2
0377-0427
Citations 
PageRank 
References 
3
0.48
7
Authors
3
Name
Order
Citations
PageRank
Adhemar Bultheel121734.80
L. Daruis2274.90
Pablo GonzáLez-Vera310017.26