SPLINE APPROXIMATION FOR CAUCHY PRINCIPAL VALUE INTEGRALS

被引：25

作者：

ORSI, AP ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTIMENTO MATEMAT, I-10129 TURIN, ITALY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 02期

关键词：

Cauchy principal value integrals; quadrature rules; splines;

D O I：

10.1016/0377-0427(90)90027-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the uniform convergence of some quadrature formulas based on spline approximation for Cauchy principal value integrals of the type fbaw(x)f(k)(x)/x - y dx (k = 0, 1,...) and we present some numerical applications. In particular we apply our rules to the well-known Prandtl's integral equation. © 1990.

引用

页码：191 / 201

页数：11

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