DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, UJin | ko |
dc.contributor.author | Kim, SW | ko |
dc.contributor.author | Yun, BI | ko |
dc.date.accessioned | 2013-03-04T08:44:24Z | - |
dc.date.available | 2013-03-04T08:44:24Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004-09 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.61, no.4, pp.496 - 513 | - |
dc.identifier.issn | 0029-5981 | - |
dc.identifier.uri | http://hdl.handle.net/10203/82213 | - |
dc.description.abstract | In 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.language | English | - |
dc.publisher | Wiley-Blackwell | - |
dc.subject | WEAKLY SINGULAR-INTEGRALS | - |
dc.subject | BOUNDARY-ELEMENT INTEGRALS | - |
dc.subject | NUMERICAL EVALUATION | - |
dc.subject | SIGMOIDAL TRANSFORMATIONS | - |
dc.subject | HYPERSINGULAR INTEGRALS | - |
dc.subject | GAUSSIAN QUADRATURE | - |
dc.subject | CRACK PROBLEM | - |
dc.subject | DERIVATIVES | - |
dc.subject | EXPANSION | - |
dc.title | Improvement of the asymptotic behaviour of the Euler-Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals | - |
dc.type | Article | - |
dc.identifier.wosid | 000224001100002 | - |
dc.identifier.scopusid | 2-s2.0-4544244895 | - |
dc.type.rims | ART | - |
dc.citation.volume | 61 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 496 | - |
dc.citation.endingpage | 513 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | - |
dc.contributor.localauthor | Choi, UJin | - |
dc.contributor.nonIdAuthor | Kim, SW | - |
dc.contributor.nonIdAuthor | Yun, BI | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Cauchy principal value/Hadamard finite-part integral | - |
dc.subject.keywordAuthor | sigruoidal transformation | - |
dc.subject.keywordAuthor | Euler-Maclaurin formula | - |
dc.subject.keywordPlus | WEAKLY SINGULAR-INTEGRALS | - |
dc.subject.keywordPlus | BOUNDARY-ELEMENT INTEGRALS | - |
dc.subject.keywordPlus | NUMERICAL EVALUATION | - |
dc.subject.keywordPlus | SIGMOIDAL TRANSFORMATIONS | - |
dc.subject.keywordPlus | HYPERSINGULAR INTEGRALS | - |
dc.subject.keywordPlus | GAUSSIAN QUADRATURE | - |
dc.subject.keywordPlus | CRACK PROBLEM | - |
dc.subject.keywordPlus | DERIVATIVES | - |
dc.subject.keywordPlus | EXPANSION | - |
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