| Publications of Adhemar Bultheel | |
The existence and construction of rational Gauss-type quadrature rules
Karl Deckers Adhemar Bultheel
Abstract:
Consider a hermitian positive-definite linear functional ℱ, and assume we have m distinct nodes fixed in advance anywhere on the real line. In this paper we then study the existence and construction of nth rational Gauss-Radau (m = 1) and Gauss-Lobatto (m = 2) quadrature formulas that approximate ℱ{f}. These are quadrature formulas with n positive weights and with the n - m remaining nodes real and distinct, so that the quadrature is exact in a (2n - m)-dimensional space of rational functions.
Status:
Online since 28 April 2012.
BiBTeX entry:
@article{ArtDB10c,
author = "K. Deckers and A. Bultheel",
journal = "Applied Mathematics and Computation",
year = "2012",
title = "The existence and construction of rational {G}auss-type quadrature rules",
volume = "218",
number = "10",
pages = "10299-10320",
url = "http://nalag.cs.kuleuven.be/papers/ade/existconstr/index.html",
DOI = "10.1016/j.amc.2012.04.008",
LIMO = "606939",
ZBL = "06074620",
MR = "2921784",
}
File(s):
preprint.pdf (309K)
See also Report TW 573