메뉴 건너뛰기




Volumn 108, Issue 1, 2001, Pages 18-35

A Trigonometric Quadrature Rule for Cauchy Integrals with Jacobi Weight

Author keywords

Cauchy integral; quadrature rule; trigonometric interpolation; Jacobi weight

Indexed keywords


EID: 0012681787     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2000.3513     Document Type: Article
Times cited : (4)

References (19)
  • 1
    • 0000624238 scopus 로고
    • A method for numerical integration on an automatic computer
    • Clenshaw C. W., Curtis A. R. A method for numerical integration on an automatic computer. Numer. Math. 2:1960;197-205.
    • (1960) Numer. Math. , vol.2 , pp. 197-205
    • Clenshaw, C.W.1    Curtis, A.R.2
  • 2
    • 0031076042 scopus 로고    scopus 로고
    • A new algorithm for Cauchy principal value and Hadamard finite-part integrals
    • Criscuolo G. A new algorithm for Cauchy principal value and Hadamard finite-part integrals. J. Comp. Appl. Math. 78:1997;255-275.
    • (1997) J. Comp. Appl. Math. , vol.78 , pp. 255-275
    • Criscuolo, G.1
  • 3
    • 0028383578 scopus 로고
    • The numerical solution of Cauchy singular integral equations with application to fracture
    • Kurtz R. D. The numerical solution of Cauchy singular integral equations with application to fracture. Int. J. Fracture. 66:1994;139-154.
    • (1994) Int. J. Fracture , vol.66 , pp. 139-154
    • Kurtz, R.D.1
  • 4
    • 0001517652 scopus 로고
    • Numerical solution of singular integral equations
    • Erdogan F. Numerical solution of singular integral equations. Mech. Fracture. 1:1973;368-425.
    • (1973) Mech. Fracture , vol.1 , pp. 368-425
    • Erdogan, F.1
  • 5
  • 6
    • 0012691810 scopus 로고
    • Piecewise-polynomial quadratures for Cauchy singular integrals
    • Gerasoulis A. Piecewise-polynomial quadratures for Cauchy singular integrals. SIAM J. Numer. Anal. 23:1986;891-902.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 891-902
    • Gerasoulis, A.1
  • 7
    • 84966228212 scopus 로고
    • An automatic quadrature for Cauchy principal value integrals
    • Hasegawa T., Torii T. An automatic quadrature for Cauchy principal value integrals. Math. Comp. 56:1991;741-754.
    • (1991) Math. Comp. , vol.56 , pp. 741-754
    • Hasegawa, T.1    Torii, T.2
  • 8
    • 0028427025 scopus 로고
    • Hilbert and Hadamard transforms by generalized Chebyshev expansion
    • Hasegawa T., Torii T. Hilbert and Hadamard transforms by generalized Chebyshev expansion. J. Comp. Appl. Math. 51:1994;71-83.
    • (1994) J. Comp. Appl. Math. , vol.51 , pp. 71-83
    • Hasegawa, T.1    Torii, T.2
  • 10
    • 0034504686 scopus 로고    scopus 로고
    • A quadrature rule for weighted Cauchy integrals
    • to appear
    • P. Kim, and, U. J. Choi, A quadrature rule for weighted Cauchy integrals, J. Comp. Appl. Math, to appear.
    • J. Comp. Appl. Math
    • Kim, P.1    Choi, U.J.2
  • 11
    • 0034497215 scopus 로고    scopus 로고
    • A quadrature rule of interpolatory type for Cauchy integrals
    • to appear
    • P. Kim, and, U. J. Choi, A quadrature rule of interpolatory type for Cauchy integrals, J. Comp. Appl. Math, to appear.
    • J. Comp. Appl. Math
    • Kim, P.1    Choi, U.J.2
  • 12
    • 0032139299 scopus 로고    scopus 로고
    • A piecewise linear quadrature of Cauchy singular integrals
    • Kim P., Lee S. A piecewise linear quadrature of Cauchy singular integrals. J. Comp. Appl. Math. 95:1998;101-115.
    • (1998) J. Comp. Appl. Math. , vol.95 , pp. 101-115
    • Kim, P.1    Lee, S.2
  • 14
    • 0001516384 scopus 로고
    • Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
    • Monegato G. Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals. Numer. Math. 1984;161-173.
    • (1984) Numer. Math. , pp. 161-173
    • Monegato, G.1
  • 15
    • 0042999297 scopus 로고
    • An algorithm for the numerical evaluation of certain Cauchy principal value integrals
    • Paget D. F., Elliott D. An algorithm for the numerical evaluation of certain Cauchy principal value integrals. Math. Comp. 17:1972;373-385.
    • (1972) Math. Comp. , vol.17 , pp. 373-385
    • Paget, D.F.1    Elliott, D.2
  • 17
    • 0012680475 scopus 로고
    • An algorithm based on the fft for a generalized Chebyshev interpolation
    • Torii T., Hasegawa T., Sugiura H. An algorithm based on the fft for a generalized Chebyshev interpolation. Math. Comp. 54:1990;195-210.
    • (1990) Math. Comp. , vol.54 , pp. 195-210
    • Torii, T.1    Hasegawa, T.2    Sugiura, H.3
  • 18
    • 0012721601 scopus 로고
    • On the finite Hilbert transform
    • Tricomi F. G. On the finite Hilbert transform. Quart. J. Math. 2:1951;199-211.
    • (1951) Quart. J. Math. , vol.2 , pp. 199-211
    • Tricomi, F.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.