Paper Info
Title
Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
Abstract
We propose replacing the classical Gauss--Laguerre quadrature formula by a truncated version of it, obtained by ignoring the last part of its nodes. This has the effect of obtaining optimal orders of convergence. Corresponding quadrature rules with kernels are then considered and optimal error estimates are derived also for them. These rules are finally used to define stable Nyström-type interpolants for a second kind of integral equation on the real semiaxis whose solutions decay exponentially at $\infty$.
Year
DOI
Venue
2003
10.1137/S0036142901391475
SIAM Journal on Numerical Analysis
Keywords
DocType
Volume
m-type methods,corresponding quadrature rule,solutions decay exponentially,optimal order,classical gauss,real semiaxis,m-type interpolants,last part,optimal error estimate,truncated quadrature rules,integral equation,laguerre quadrature formula,integral equations,quadrature rule
Journal
41
Issue
ISSN
Citations 
5
0036-1429
11
PageRank 
References 
Authors
2.13
0
2
Name
Order
Citations
PageRank
G. Mastroianni1297.96
G. Monegato26417.11