AN ASYMPTOTIC ANALYSIS OF 2 ALGORITHMS FOR CERTAIN HADAMARD FINITE-PART INTEGRALS

被引：38

作者：

ELLIOTT, D

机构：

[1] Department of Mathematics, University of Tasmania, Hobart, TAS, 7001

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1993年 / 13卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1093/imanum/13.3.445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two algorithms for the approximate evaluation of certain Hadamard finite-part integrals, which date back to Grunwald (1867), have been analysed. It is shown that the quadrature sums are closely related to the finite-part integrals of the Bernstein polynomials. The stability of the algorithms is considered and two numerical examples are given.

引用

页码：445 / 462

页数：18

共 18 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2] A SINC QUADRATURE RULE FOR HADAMARD FINITE-PART INTEGRALS [J].