Improvement of the asymptotic behaviour of the Euler-Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals

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dc.contributor.authorChoi, UJinko
dc.contributor.authorKim, SWko
dc.contributor.authorYun, BIko
dc.date.accessioned2013-03-04T08:44:24Z-
dc.date.available2013-03-04T08:44:24Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2004-09-
dc.identifier.citationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.61, no.4, pp.496 - 513-
dc.identifier.issn0029-5981-
dc.identifier.urihttp://hdl.handle.net/10203/82213-
dc.description.abstractIn the recent works (Commun. Numer. Meth. Engng 2001; 17:881; to appear), the superiority of the non-linear transformations containing a real parameter b not equal 0 0 has been demonstrated in numerical evaluation of weakly singular integrals. Based on these transformations, we define a so-called parametric sigmoidal transformation and employ it to evaluate the Cauchy principal value and Hadamard finite-part integrals by using the. Euler-Maclaurin formula. Better approximation is expected due to the prominent properties of the parametric sigmoidal transformation of whose local behaviour near x = 0 is governed by parameter b. Through the asymptotic error analysis of the Euler-Maclaurin formula using the parametric sigmoidal transformation, we can observe that it provides a distinct improvement on its predecessors using traditional sigmoidal transformations. Numerical results of some examples show the availability of the present method. Copyright (C) 2004 John Wiley Sons, Ltd.-
dc.languageEnglish-
dc.publisherWiley-Blackwell-
dc.subjectWEAKLY SINGULAR-INTEGRALS-
dc.subjectBOUNDARY-ELEMENT INTEGRALS-
dc.subjectNUMERICAL EVALUATION-
dc.subjectSIGMOIDAL TRANSFORMATIONS-
dc.subjectHYPERSINGULAR INTEGRALS-
dc.subjectGAUSSIAN QUADRATURE-
dc.subjectCRACK PROBLEM-
dc.subjectDERIVATIVES-
dc.subjectEXPANSION-
dc.titleImprovement of the asymptotic behaviour of the Euler-Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals-
dc.typeArticle-
dc.identifier.wosid000224001100002-
dc.identifier.scopusid2-s2.0-4544244895-
dc.type.rimsART-
dc.citation.volume61-
dc.citation.issue4-
dc.citation.beginningpage496-
dc.citation.endingpage513-
dc.citation.publicationnameINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING-
dc.contributor.localauthorChoi, UJin-
dc.contributor.nonIdAuthorKim, SW-
dc.contributor.nonIdAuthorYun, BI-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorCauchy principal value/Hadamard finite-part integral-
dc.subject.keywordAuthorsigruoidal transformation-
dc.subject.keywordAuthorEuler-Maclaurin formula-
dc.subject.keywordPlusWEAKLY SINGULAR-INTEGRALS-
dc.subject.keywordPlusBOUNDARY-ELEMENT INTEGRALS-
dc.subject.keywordPlusNUMERICAL EVALUATION-
dc.subject.keywordPlusSIGMOIDAL TRANSFORMATIONS-
dc.subject.keywordPlusHYPERSINGULAR INTEGRALS-
dc.subject.keywordPlusGAUSSIAN QUADRATURE-
dc.subject.keywordPlusCRACK PROBLEM-
dc.subject.keywordPlusDERIVATIVES-
dc.subject.keywordPlusEXPANSION-
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