DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Choi, U-Jin | - |
dc.contributor.advisor | 최우진 | - |
dc.contributor.author | Ko, Kwan-Pyo | - |
dc.contributor.author | 고관표 | - |
dc.date.accessioned | 2011-12-14T04:38:17Z | - |
dc.date.available | 2011-12-14T04:38:17Z | - |
dc.date.issued | 1995 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=98572&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41773 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수학과, 1995.2, [ [ii], 53 p. ] | - |
dc.description.abstract | Gauss-type quadratures formulae (Gaussian quadrature, Gauss-Radau rule and Gauss-Lobatto rule) for analytic functions with Chebyshev weight functions, have been known for a long time. Recently, many authors [20][23] considered the Gaussian quadrature formulae for the Bernstein-Szego weight functions. Kaneko and Xu [14] established that application of the quadrature scheme yields numerical solutions of the weakly singular Fredholm integral equation of the second kind. For analytic functions it is well-known that the remainder term can be represented by the contour integral. In this work we present the $L^2$-estimation for the kernel $K_n$ of the remainder term with respect to one of four Chebyshev weight functions and the error bound of the type on the elliptic contour ◁수식 삽입▷(원문을 참조하세요) where l(Γ) denotes the length of the contour Γ and give an expression for the kernel $K_n$ of the remainder terms for Gauss-Radau and Gauss-Lobatto rules with end points of multiplicity r using the Laurent series expansion. Also we prove the convergence of kernel $K_n$ and obtain the error bound of the type ◁수식 삽입▷(원문을 참조하세요) on the circular and elliptic contours. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | $L^p$-Estimation for the gaussian quadratures and numerical application | - |
dc.title.alternative | 가우스 구적법에 대한 $L^p$ 추정 및 수치적 응용 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 98572/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000925013 | - |
dc.contributor.localauthor | Choi, U-Jin | - |
dc.contributor.localauthor | 최우진 | - |
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