ON THE APPROXIMATE EVALUATION OF HADAMARD FINITE-PART INTEGRALS

被引：8

作者：

DELBOURGO, D

ELLIOTT, D

机构：

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

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1994年 / 14卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1093/imanum/14.4.485

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Grunwald's algorithms for the numerical evaluation of Hadamard finite-part integrals with non-integer exponent are extended to the case of integer exponent. These algorithms are based on the use of Bernstein polynomials and it is shown how, by an appropriate modification of the first algorithm, a convergence rate of order 1/N2 may be obtained, where N is the number of function evaluations.

引用

页码：485 / 500

页数：16

共 9 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2]

DELBOURGO D, 1992, THESIS U TASMANIA

[3] AN ASYMPTOTIC ANALYSIS OF 2 ALGORITHMS FOR CERTAIN HADAMARD FINITE-PART INTEGRALS [J].