Automatic quardrature sceheme for evaluating hypersingular intergrals.
Hasegawa constructed the automatic quadrature scheme (AQS), of Cauchy principle value integrals for smooth functions. There is a close connection between Hadamard and Cauchy principle value integral. In this paper, we modify AQS for hypersingular integrals with second-order singularities, using hase...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing Company
2012
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| _version_ | 1825925752387796992 |
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| author | Obaiys, Susan J. Eshkuratov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_facet | Obaiys, Susan J. Eshkuratov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort | Obaiys, Susan J. |
| collection | UPM |
| description | Hasegawa constructed the automatic quadrature scheme (AQS), of Cauchy principle value integrals for smooth functions. There is a close connection between Hadamard and Cauchy principle value integral. In this paper, we modify AQS for hypersingular integrals with second-order singularities, using hasegawa’s formula and based on therelations between Hadamard finite part integral and Cauchy principle value integral.Numerical experiments are also given, to validate the modified AQS. |
| first_indexed | 2024-03-06T08:02:27Z |
| format | Article |
| id | upm.eprints-25308 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:02:27Z |
| publishDate | 2012 |
| publisher | World Scientific Publishing Company |
| record_format | dspace |
| spelling | upm.eprints-253082014-09-22T12:41:15Z http://psasir.upm.edu.my/id/eprint/25308/ Automatic quardrature sceheme for evaluating hypersingular intergrals. Obaiys, Susan J. Eshkuratov, Zainidin K. Nik Long, Nik Mohd Asri Hasegawa constructed the automatic quadrature scheme (AQS), of Cauchy principle value integrals for smooth functions. There is a close connection between Hadamard and Cauchy principle value integral. In this paper, we modify AQS for hypersingular integrals with second-order singularities, using hasegawa’s formula and based on therelations between Hadamard finite part integral and Cauchy principle value integral.Numerical experiments are also given, to validate the modified AQS. World Scientific Publishing Company 2012 Article PeerReviewed Obaiys, Susan J. and Eshkuratov, Zainidin K. and Nik Long, Nik Mohd Asri (2012) Automatic quardrature sceheme for evaluating hypersingular intergrals. International Journal of Modern Physics: Conference Series, 9 (2012). pp. 581-585. ISSN 2010-1945 10.1142/S2010194512005697 English |
| spellingShingle | Obaiys, Susan J. Eshkuratov, Zainidin K. Nik Long, Nik Mohd Asri Automatic quardrature sceheme for evaluating hypersingular intergrals. |
| title | Automatic quardrature sceheme for evaluating hypersingular intergrals.
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| title_full | Automatic quardrature sceheme for evaluating hypersingular intergrals.
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| title_fullStr | Automatic quardrature sceheme for evaluating hypersingular intergrals.
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| title_full_unstemmed | Automatic quardrature sceheme for evaluating hypersingular intergrals.
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| title_short | Automatic quardrature sceheme for evaluating hypersingular intergrals.
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| title_sort | automatic quardrature sceheme for evaluating hypersingular intergrals |
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