Stability of quadrature rules and analytic method for singular integrals특이적분의 수치적 해법에 대한 안정성 해석과 해석적 적분법에 관한 연구
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-Jinresearcher; 최우진researcher
- 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
- Appears in Collection
- MA-Theses_Ph.D.(박사논문)
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