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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We employ a hyperbolic tangent function to construct nonlinear transformations which are useful in numerical evaluation of weakly singular integrals and Cauchy principal value integrals.
Results of numerical implementation based on the standard Gauss quadrature rule show that the present transformations are available for the singular integrals and, in some cases, give much better approximations compared with those of existing non-linear transformation methods.
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참고문헌 (23)
참고문헌 신청
/ 2003 / A new sigmoidal transformation for weakly singular integrals in the boundary elemen
A. Sidi / 1993 / A new variable transformation for numerical integration, Numerical integration, IV / Birkhauser
B. I. Yun / 2003 / A compositie transformation for numerical integration of singular integrals in the BEM / Internat. J. Numer. Methods Engrg 57 (13) : 1883 ~ 1898
D. Elliott / 1997 / Sigmoidal transformations and the Euler-Maclaurin expan- sion for evaluating certain Hadamard nite-part integrals / Numer. Math 77 (4) : 453 ~ 465
D. Elliott / 1997 / The cruciform crack problem and sigmoidal transformations / Math. Methods Appl. Sci 20 (2) : 121 ~ 132
A. Sidi / 1993 / A new variable transformation for numerical integration, Numerical integration, IV / Birkhauser
B. I. Yun / 2003 / A compositie transformation for numerical integration of singular integrals in the BEM / Internat. J. Numer. Methods Engrg 57 (13) : 1883 ~ 1898
D. Elliott / 1997 / Sigmoidal transformations and the Euler-Maclaurin expan- sion for evaluating certain Hadamard nite-part integrals / Numer. Math 77 (4) : 453 ~ 465
D. Elliott / 1997 / The cruciform crack problem and sigmoidal transformations / Math. Methods Appl. Sci 20 (2) : 121 ~ 132
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