On a Method of Calculation of Hypersingular Integrals

被引：1

作者：

Boikov, I. V. ^{[1
]}

Syomov, M. A. ^{[1
]}

机构：

[1] Penza State Univ, Ul Krasnaya 40, Penza 440026, Russia

来源：

RUSSIAN MATHEMATICS | 2016年 / 60卷 / 03期

关键词：

hypersingular integrals; quadrature formulas; cubature formulas;

D O I：

10.3103/S1066369X16030014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a method for calculation of one-dimensional and two-dimensional hyper-singular integrals, which allows to obtain a solution in the analytic form in a series of cases. Based on this method, we construct an approximate method for calculation of one-dimensional and two-dimensional hypersingular integrals having singularities on rather complicated manifolds. We give estimates of errors of suggested algorithms.

引用

页码：1 / 13

页数：13

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