Abstract:In this paper, we consider the Kronrod extension for the Gauss-Radau and
Gauss-Lobatto quadrature consisting of any one of the four Chebyshev
weights. The main purpose is to effectively estimate the error of these
quadrature formulas. This estimate needs a calculation of the maximum of the
modulus of the kernel. We compute explicitly the kernel function and
determine the locations on the ellipses where a maximum modulus of the
kernel is attained. Based on this, we derive effective error bound… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.