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Volumn 34, Issue 4, 1997, Pages 1432-1450

Numerical solution of first-kind volterra equations by sequential tikhonov regularization

Author keywords

Fast algorithm; First kind Volterra equations; Inverse problems; Regularization; Sequential numerical methods

Indexed keywords


EID: 0000505778     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614299528081X     Document Type: Article
Times cited : (53)

References (9)
  • 2
    • 0141825485 scopus 로고
    • An efficient algorithm for the regularization of ill-conditioned least squares problems with triangular Toeplitz matrix
    • L. ELDÉN, An efficient algorithm for the regularization of ill-conditioned least squares problems with triangular Toeplitz matrix, SIAM J. Sci. Statist. Comput., 5 (1984), pp. 229-236.
    • (1984) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 229-236
    • Eldén, L.1
  • 3
    • 0005362591 scopus 로고
    • Numerical solution of the sideways heat equation
    • H. Engl and W. Rundell, eds., SIAM, Philadelphia, PA
    • L. ELDÉN, Numerical solution of the sideways heat equation, in Inverse Problems in Diffusion Processes, H. Engl and W. Rundell, eds., SIAM, Philadelphia, PA, 1995, pp. 130-150.
    • (1995) Inverse Problems in Diffusion Processes , pp. 130-150
    • Eldén, L.1
  • 5
    • 0030128527 scopus 로고    scopus 로고
    • Approximation of ill-posed Volterra problems via predictor-corrector regularization methods
    • P. K. LAMM, Approximation of ill-posed Volterra problems via predictor-corrector regularization methods, SIAM J. Applied Math., 56 (1996), pp. 524-541.
    • (1996) SIAM J. Applied Math. , vol.56 , pp. 524-541
    • Lamm, P.K.1
  • 8
    • 0013291693 scopus 로고
    • On the order of regularization methods
    • G. Hämmerlin and K. H. Hoffman, eds., Birkhäuser, Basel
    • F. NATTERER, On the order of regularization methods, in Improperly Posed Problems and their Numerical Treatment, G. Hämmerlin and K. H. Hoffman, eds., Birkhäuser, Basel, 1983, pp. 189-203.
    • (1983) Improperly Posed Problems and their Numerical Treatment , pp. 189-203
    • Natterer, F.1
  • 9
    • 84951418001 scopus 로고
    • Error bounds for Tikhonov regularization in Hilbert scales
    • F. NATTERER, Error bounds for Tikhonov regularization in Hilbert scales, Appl. Anal., 18 (1984), pp. 29-37.
    • (1984) Appl. Anal. , vol.18 , pp. 29-37
    • Natterer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.