ON PRODUCT INTEGRATION WITH GAUSS-KRONROD NODES

Authors
EHRICH S
Citation
S. Ehrich, ON PRODUCT INTEGRATION WITH GAUSS-KRONROD NODES, SIAM journal on numerical analysis, 35(1), 1998, pp. 78-92
Citations number
28
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
35
Issue
1
Year of publication
1998
Pages
78 - 92
Database
ISI
SICI code
0036-1429(1998)35:1<78:OPIWGN>2.0.ZU;2-I
Abstract
Gauss-Kronrod product quadrature formulas for the numerical approximat ion of integral(-1)(1)k(x)f(x)dx are shown to converge for every Riema nn integrable f, and to possess optimal stability. Similar results are proved for the product formulas based on the Kronrod nodes only. An a pplication to the uniform convergence of approximate solutions of inte gral equations is given.