DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jang B.-G. | ko |
dc.contributor.author | Lee H. | ko |
dc.contributor.author | Kum H.R. | ko |
dc.date.accessioned | 2013-03-06T18:31:17Z | - |
dc.date.available | 2013-03-06T18:31:17Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.10, no.3, pp.271 - 281 | - |
dc.identifier.issn | 1521-1398 | - |
dc.identifier.uri | http://hdl.handle.net/10203/87964 | - |
dc.description.abstract | This paper presents a new interpolatory type quadrature rule for approximating the weighted Cauchy principal value integrals integral(-1)(1)(1 - t(2))(lambda-1/2)f(t)/(t - c)dt where - 1/2 < lambda < 1. We prove that the rule has almost optimal stability property behaving in the form O(K log n + L), where K and L are constants depending only on c. Also, when f(t) possesses continuous derivatives up to order p >= 0 and the derivative f(P)(t) satisfies Holder continuity of order p, we obtain that the rule has the convergence rate of O((A + B log n + n(2v))n(-p-rho)), where v is as small as we like and A and B are constants depending on c. | - |
dc.language | English | - |
dc.publisher | EUDOXUS PRESS, LLC | - |
dc.subject | NUMERICAL EVALUATION | - |
dc.subject | SINGULAR-INTEGRALS | - |
dc.subject | CONVERGENCE | - |
dc.title | A new interpolatory type quadrature rule for weighted Cauchy principal value integrals | - |
dc.type | Article | - |
dc.identifier.wosid | 000253261100001 | - |
dc.identifier.scopusid | 2-s2.0-49149094387 | - |
dc.type.rims | ART | - |
dc.citation.volume | 10 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 271 | - |
dc.citation.endingpage | 281 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.contributor.localauthor | Jang B.-G. | - |
dc.contributor.localauthor | Lee H. | - |
dc.contributor.localauthor | Kum H.R. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Cauchy principal value integral | - |
dc.subject.keywordAuthor | quadrature rule | - |
dc.subject.keywordAuthor | trigonometric interpolation | - |
dc.subject.keywordAuthor | singular integral | - |
dc.subject.keywordAuthor | interpolatory type | - |
dc.subject.keywordPlus | NUMERICAL EVALUATION | - |
dc.subject.keywordPlus | SINGULAR-INTEGRALS | - |
dc.subject.keywordPlus | CONVERGENCE | - |
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