VARIABLE ORDER COMPOSITE QUADRATURE OF SINGULAR AND NEARLY SINGULAR-INTEGRALS

被引：64

作者：

SCHWAB, C

机构：

[1] Department of Mathematics and Statistics, University of Maryland, Baltimore, 21228-5398, Maryland, Baltimore County

来源：

COMPUTING | 1994年 / 53卷 / 02期

关键词：

SINGULAR INTEGRALS; NUMERICAL INTEGRATION; EXPONENTIAL CONVERGENCE;

D O I：

10.1007/BF02252988

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A class of variable order composite quadrature formulas for the numerical integration of functions with a singularity in or near to the region of integration is introduced. Exponential convergence of the method is shown for all integrands in the countably normed space B-beta. Numerical examples are presented which demonstrate that the asymptotic exponential convergence rates obtained here are sharp and already observed for a small number of quadrature points.

引用

页码：173 / 194

页数：22

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