ORDER-PRESERVING MESH SPACING FOR COMPOUND QUADRATURE-FORMULAS AND FUNCTIONS WITH END-POINT SINGULARITIES

Authors
KOHLER P
Citation
P. Kohler, ORDER-PRESERVING MESH SPACING FOR COMPOUND QUADRATURE-FORMULAS AND FUNCTIONS WITH END-POINT SINGULARITIES, SIAM journal on numerical analysis, 32(2), 1995, pp. 671-686
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
32
Issue
2
Year of publication
1995
Pages
671 - 686
Database
ISI
SICI code
0036-1429(1995)32:2<671:OMSFCQ>2.0.ZU;2-9
Abstract
For compound quadrature formulas for the numerical evaluation of integ ral(a)(b) w(x)f(x)dx, where the function f as well as the weight funct ion w are allowed to have singularities at the endpoints a and b, we s how how to preserve the order of convergence, which is obtained for sm ooth w and f, by an appropriate choice of the meshpoints. The main emp hasis is on singularities of algebraic and logarithmic type.