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Volumn 77, Issue 1-2, 1997, Pages 201-237

Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution

Author keywords

Cauchy singular integral equation; Collocation method; Quadrature method; Weighted spaces of continuous functions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS;

EID: 0030834914     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00128-8     Document Type: Article
Times cited : (43)

References (14)
  • 1
    • 0000392749 scopus 로고
    • A fast algorithm for solving the generalized airfoil equation
    • D. Berthold, W. Hoppe and B. Silbermann, A fast algorithm for solving the generalized airfoil equation, J. Comput. Appl. Math. 43 (1992) 185-219.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 185-219
    • Berthold, D.1    Hoppe, W.2    Silbermann, B.3
  • 2
    • 0027684528 scopus 로고
    • New error bounds for the quadrature method for the solution of Cauchy singular integral equations
    • D. Berthold and P. Junghanns, New error bounds for the quadrature method for the solution of Cauchy singular integral equations, SIAM J. Numer. Anal. 30 (1993) 1351-1372.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1351-1372
    • Berthold, D.1    Junghanns, P.2
  • 4
    • 0011658495 scopus 로고    scopus 로고
    • Weighted uniform convergence of the quadrature method for Cauchy singular integral equations
    • Singular Integral Operators and Related Topics, A. Böttcher and I. Gohberg, eds., Birkhäuser Verlag
    • M.R. Capobianco, P. Junghanns, U. Luther and G. Mastroianni, Weighted uniform convergence of the quadrature method for Cauchy singular integral equations, in: Singular Integral Operators and Related Topics, A. Böttcher and I. Gohberg, eds., Operator Theory Advances and Applications, Vol. 90 (Birkhäuser Verlag, 1996) 153-181.
    • (1996) Operator Theory Advances and Applications , vol.90 , pp. 153-181
    • Capobianco, M.R.1    Junghanns, P.2    Luther, U.3    Mastroianni, G.4
  • 6
    • 0003774710 scopus 로고
    • Associated generalized Jacobi functions and polynomials
    • G. Criscuolo, G. Mastroianni and P. Nevai, Associated generalized Jacobi functions and polynomials, J. Math. Anal. Appl. 158 (1991) 15-34.
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 15-34
    • Criscuolo, G.1    Mastroianni, G.2    Nevai, P.3
  • 8
    • 0011606304 scopus 로고
    • Product integration for the generalized airfoil equation
    • E. Schock, Ed., Shaker Verlag, Aachen
    • P. Junghanns, Product integration for the generalized airfoil equation, in: E. Schock, Ed., Beiträge zur Angewandten Analysis und Informatik (Shaker Verlag, Aachen, 1994) 171-188.
    • (1994) Beiträge zur Angewandten Analysis und Informatik , pp. 171-188
    • Junghanns, P.1
  • 9
    • 0003774712 scopus 로고
    • Uniform convergence of derivatives of Lagrange interpolation
    • G. Mastroianni, Uniform convergence of derivatives of Lagrange interpolation, J. Comput. Appl. Math. 43 (1992) 37-51.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 37-51
    • Mastroianni, G.1
  • 10
    • 0040224955 scopus 로고
    • A quadrature method for Cauchy singular integral equations with weakly singular perturbation kernel
    • G. Mastroianni and S. Prössdorf, A quadrature method for Cauchy singular integral equations with weakly singular perturbation kernel, J. Integral Equations Appl. 4 (1992) 1-24.
    • (1992) J. Integral Equations Appl. , vol.4 , pp. 1-24
    • Mastroianni, G.1    Prössdorf, S.2
  • 12
    • 0000956929 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc., Providence, RI
    • P. Nevai, Orthogonal Polynomials, Mem. Amer. Math. Soc. 213 (Amer. Math. Soc., Providence, RI, 1979).
    • (1979) Mem. Amer. Math. Soc. , vol.213
    • Nevai, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.