메뉴 건너뛰기




Volumn 12, Issue 2, 2000, Pages 113-130

On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation

Author keywords

Error analysis; Fully discrete projection method; Ill posed problem; Perturbations in the data; Self regularization; Symm's integral equation

Indexed keywords


EID: 0013235011     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1020282166     Document Type: Article
Times cited : (21)

References (10)
  • 1
    • 0000495086 scopus 로고
    • A discrete Galerkin method for first kind integral equations with a logarithmic kernel
    • K.E. Atkinson, A discrete Galerkin method for first kind integral equations with a logarithmic kernel, J. Integral Equations Appl. 1 (1988), 343-363.
    • (1988) J. Integral Equations Appl. , vol.1 , pp. 343-363
    • Atkinson, K.E.1
  • 2
    • 85025244653 scopus 로고    scopus 로고
    • Error bounds of discretization methods for boundary integral equations with noisy data
    • G. Bruckner, S. Prößdorf and G. Vainikko, Error bounds of discretization methods for boundary integral equations with noisy data, Appl. Anal. 63 (1996), 25-37.
    • (1996) Appl. Anal. , vol.63 , pp. 25-37
    • Bruckner, G.1    Prößdorf, S.2    Vainikko, G.3
  • 4
    • 0002563643 scopus 로고
    • A spectral Galerkin method for a boundary integral equation
    • W. McLean, A spectral Galerkin method for a boundary integral equation, Math. Comput. 47 (1986), 597-607.
    • (1986) Math. Comput. , vol.47 , pp. 597-607
    • McLean, W.1
  • 5
    • 0000363718 scopus 로고
    • Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
    • F. Natterer, Regularisierung schlecht gestellter Probleme durch Projektionsverfahren, Numer. Math. 28 (1977), 329-341.
    • (1977) Numer. Math. , vol.28 , pp. 329-341
    • Natterer, F.1
  • 7
    • 0039674971 scopus 로고
    • A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel
    • J. Saranen, A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel, J. Integral Equations Appl. 5 (1993), 547-567.
    • (1993) J. Integral Equations Appl. , vol.5 , pp. 547-567
    • Saranen, J.1
  • 8
    • 0027837098 scopus 로고
    • Quadrature methods for strongly elliptic equations of negative order on smooth closed curves
    • J. Saranen and L. Schroderus, Quadrature methods for strongly elliptic equations of negative order on smooth closed curves, SIAM J. Numer. Anal. 30 (1993), 1769-1795.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1769-1795
    • Saranen, J.1    Schroderus, L.2
  • 9
    • 0013286501 scopus 로고
    • Projection methods and self-regularization of ill-posed problems
    • translated in Soviet Math. (Iz. VUZ)
    • G.M. Vainikko and U.A. Hämarik, Projection methods and self-regularization of ill-posed problems, Izv. Vyssh. Uchebn. Zaved. Mat. 29 (1985), 1-17 (translated in Soviet Math. (Iz. VUZ)).
    • (1985) Izv. Vyssh. Uchebn. Zaved. Mat. , vol.29 , pp. 1-17
    • Vainikko, G.M.1    Hämarik, U.A.2
  • 10
    • 0000549690 scopus 로고
    • On integral equations of the first kind with logarithmic kernels
    • Y. Yan and I.H. Sloan, On integral equations of the first kind with logarithmic kernels, J. Integral Equations Appl. 1 (1988), 549-579.
    • (1988) J. Integral Equations Appl. , vol.1 , pp. 549-579
    • Yan, Y.1    Sloan, I.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.