A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals
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...
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2023-12-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
| Subjects: | |
| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/68-IJMEMS-23-0119-8-6-1206-1224-2023.pdf |
| _version_ | 1827793846023487488 |
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| author | Arup Kumar Saha Manoj Kumar Hota Prasant Kumar Mohanty |
| author_facet | Arup Kumar Saha Manoj Kumar Hota Prasant Kumar Mohanty |
| author_sort | Arup Kumar Saha |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T18:24:26Z |
| format | Article |
| id | doaj.art-d353c2eaada04ddc974ff1bf5d331b72 |
| institution | Directory Open Access Journal |
| issn | 2455-7749 |
| language | English |
| last_indexed | 2024-03-11T18:24:26Z |
| publishDate | 2023-12-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-d353c2eaada04ddc974ff1bf5d331b722023-10-14T14:58:48ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492023-12-018612061224https://doi.org/10.33889/IJMEMS.2023.8.6.068A Class of Quadrature Rules for Complex Cauchy Principal Value IntegralsArup Kumar Saha0Manoj Kumar Hota1Prasant Kumar Mohanty2Department of Education in Science and Mathematics, Regional Institute of Education (NCERT), Bhubaneswar, Odisha, India.Department of Mathematics, Nayagarh Autonomous College, Nayagarh, Odisha, India.School of Applied Sciences, Kalinga Institute of Industrial Technology Deemed to be University, Bhubaneswar, Odisha, India.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.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/68-IJMEMS-23-0119-8-6-1206-1224-2023.pdfanalytic functioncomplex cauchy principal valueerror boundquadrature rule |
| spellingShingle | Arup Kumar Saha Manoj Kumar Hota Prasant Kumar Mohanty A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals International Journal of Mathematical, Engineering and Management Sciences analytic function complex cauchy principal value error bound quadrature rule |
| title | A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals |
| title_full | A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals |
| title_fullStr | A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals |
| title_full_unstemmed | A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals |
| title_short | A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals |
| title_sort | class of quadrature rules for complex cauchy principal value integrals |
| topic | analytic function complex cauchy principal value error bound quadrature rule |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/68-IJMEMS-23-0119-8-6-1206-1224-2023.pdf |
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