ON THE NUMERICAL-INTEGRATION OF CERTAIN SINGULAR-INTEGRALS

被引：19

作者：

STOLLE, HW

STRAUSS, R

机构：

[1] Fachbereich Mathematik, Universität Rostock, Rostock, D-O-2500

来源：

COMPUTING | 1992年 / 48卷 / 02期

关键词：

STRONGLY SINGULAR INTEGRALS; FINITE-PART INTEGRALS; NUMERICAL APPROXIMATION; QUADRATURE;

D O I：

10.1007/BF02310532

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we deal with the numerical calculation of singular integrals in the sense of Hadamard by simple integration methods. Error estimates and numerical examples are given. The optimality of the quadrature rules will be examined.

引用

页码：177 / 189

页数：13

共 50 条

[1] ON THE CONVERGENCE OF CERTAIN SINGULAR-INTEGRALS
FALCONER, KJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 89 (MAY) : 397 - 403
[2] ON NUMERICAL COMPUTATION OF SINGULAR-INTEGRALS
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FROBERG, CE
BIT, 1984, 24 (01): : 113 - 116
[3] BOUNDEDNESS OF CERTAIN OSCILLATORY SINGULAR-INTEGRALS
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[4] ON THE APPROXIMATE COMPUTATION OF CERTAIN STRONGLY SINGULAR-INTEGRALS
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[5] DIOPHANTINE APPROXIMATION AND NUMERICAL-INTEGRATION OF SINGULAR INTEGRALS - PRELIMINARY-REPORT
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[8] SINGULAR-INTEGRALS AND MULTIPLIERS
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[9] ON THE NUMERICAL EVALUATION OF SINGULAR-INTEGRALS IN INTERFACE SEPARATION PROBLEMS
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[10] THE NUMERICAL EVALUATION OF SINGULAR-INTEGRALS WITH COTH-KERNEL
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