Stability of quadrature rules and analytic method for singular integrals = 특이적분의 수치적 해법에 대한 안정성 해석과 해석적 적분법에 관한 연구

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This thesis is developed to analyze the stability of the Chebyshev quadrature rules for one-dimensional Cauchy principal value integrals and finite-part integrals, which were proposed from [20] and [22] respectively, and obtain the optimal stability as the Gauss-type quadrature rule. In addition, we propose the method of the analytical integration for Symm`s integral with logarithmic kernel in two-dimensions and show this is very efficient through the error estimation.
Advisors
Choi, U-Jinresearcher최우진researcher
Description
한국과학기술원 : 수학전공,
Publisher
한국과학기술원
Issue Date
2003
Identifier
231027/325007  / 020005827
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수학전공, 2003.8, [ i, 45 p. ]

Keywords

특이적분; Singular integrals; 안정성

URI
http://hdl.handle.net/10203/41863
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=231027&flag=dissertation
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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