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Volumn 275-276, Issue , 1998, Pages 327-347

Uniform convergence of a fast algorithm for Cauchy singular integral equations

Author keywords

Cauchy singular integral equations; Discrete sine and cosine transformations; Fast algorithm

Indexed keywords


EID: 0032363656     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10025-8     Document Type: Article
Times cited : (10)

References (13)
  • 1
    • 0000392749 scopus 로고
    • A fast algorithm for solving the generalized airfoil equation
    • D. Berthold, W. Hoppe, B. Silbermann, A fast algorithm for solving the generalized airfoil equation. J. Comp. Appl. Math. 43 (1992) 185-219.
    • (1992) J. Comp. Appl. Math. , vol.43 , pp. 185-219
    • Berthold, D.1    Hoppe, W.2    Silbermann, B.3
  • 2
    • 0030735514 scopus 로고    scopus 로고
    • A fast algorithm for Prandtl's integro-differential equation
    • M.R. Capobianco, G. Criscuolu. P. Junghanns, A fast algorithm for Prandtl's integro-differential equation, J. Comp. Appl. Math. 77 (1997) 103-128.
    • (1997) J. Comp. Appl. Math. , vol.77 , pp. 103-128
    • Capobianco, M.R.1    Criscuolu, G.2    Junghanns, P.3
  • 3
    • 0040861126 scopus 로고
    • On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
    • in Russian
    • B.A. Amosov, On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve, ZAA 9 (1990) 545-563 (in Russian).
    • (1990) ZAA , vol.9 , pp. 545-563
    • Amosov, B.A.1
  • 4
    • 0030834914 scopus 로고    scopus 로고
    • Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
    • P. Junghanns, U. Luther, Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution, J. Comp. Appl. Math. 77 (1997) 201-237.
    • (1997) J. Comp. Appl. Math. , vol.77 , pp. 201-237
    • Junghanns, P.1    Luther, U.2
  • 6
    • 0042684062 scopus 로고
    • Convergence in mean and almost everywhere of Fourier series in polynomials orthogonal on a segment
    • in Russian
    • V.M. Badkov, Convergence in mean and almost everywhere of Fourier series in polynomials orthogonal on a segment, Mat. Sb. 95 (137) (1974) 229-262 (in Russian).
    • (1974) Mat. Sb. , vol.95 , Issue.137 , pp. 229-262
    • Badkov, V.M.1
  • 8
    • 0027842087 scopus 로고
    • Chebyshev polynomials of the second, third and fourth kind in approximation, indefinite integration, and integral transforms
    • J.C. Mason, Chebyshev polynomials of the second, third and fourth kind in approximation, indefinite integration, and integral transforms, J. Comp. Appl. Math. 49 (1993) 169-178.
    • (1993) J. Comp. Appl. Math. , vol.49 , pp. 169-178
    • Mason, J.C.1
  • 10
    • 0348060037 scopus 로고    scopus 로고
    • Uniform convergence of the quadrature method for Cauchy singular integral equations with weakly singular perturbation kernels
    • Acquafredda di Maratea, September (to appear)
    • P. Junghanns, L. Luther, Uniform convergence of the quadrature method for Cauchy singular integral equations with weakly singular perturbation kernels. Proceedings of the Third International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea, September 1996 (to appear).
    • (1996) Proceedings of the Third International Conference on Functional Analysis and Approximation Theory
    • Junghanns, P.1    Luther, L.2
  • 12
    • 0039928421 scopus 로고
    • Fast radix-p discrete cosine transform
    • G. Steidl, Fast radix-p discrete cosine transform. Appl. Algeba Engrg. Comm. Comput. 3 (1992) 39-46.
    • (1992) Appl. Algeba Engrg. Comm. Comput. , vol.3 , pp. 39-46
    • Steidl, G.1
  • 13
    • 0040829953 scopus 로고
    • Fast algorithms for discrete Chehyshev-Vandermonde transforms and applications
    • M. Tasche, Fast algorithms for discrete Chehyshev-Vandermonde transforms and applications, Numer. Algor. 5 (1993) 453-464.
    • (1993) Numer. Algor. , vol.5 , pp. 453-464
    • Tasche, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.