A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals

被引：0

作者：

Saha, Arup Kumar ^{[1
]}

Hota, Manoj Kumar ^{[2
]}

Mohanty, Prasant Kumar ^{[3
]}

机构：

[1] Reg Inst Educ NCERT, Dept Educ Sci & Math, Bhubaneswar, Odisha, India

[2] Nayagarh Autonomous Coll, Dept Math, Nayagarh, Odisha, India

[3] Kalinga Inst Ind Technol Deemed Be Univ, Sch Appl Sci, Bhubaneswar, Odisha, India

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES | 2023年 / 8卷 / 06期

关键词：

Analytic function; Complex Cauchy principal value; Error bound; Quadrature rule; APPROXIMATION; FORMULAS;

D O I：

10.33889/IJMEMS.2023.8.6.068

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic rules are developed and then composite rules are constructed from the basic rules. The Error bounds for each rule are determined. The validity of the method has been demonstrated by the provision of numerical experiments and their results.

引用

页码：1206 / 1224

页数：19

共 21 条

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