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Volumn 38, Issue 6, 2001, Pages 2079-2102

A first-order sequential predictor-corrector regularization method for ill-posed volterra equations

Author keywords

Beck's method; Convergence rates; First order approximation; Ill posed volterra equations; Sequential regularization; Stability estimates

Indexed keywords


EID: 0034580598     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142999362092     Document Type: Article
Times cited : (10)

References (10)
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  • 3
    • 0000575489 scopus 로고    scopus 로고
    • Future polynomial regularization of ill-posed Volterra equations
    • A. C. CINZORI AND P. K. LAMM, Future polynomial regularization of ill-posed Volterra equations, SIAM J. Numer. Anal., 37 (2000), pp. 949-979.
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 949-979
    • Cinzori, A.C.1    Lamm, P.K.2
  • 4
    • 58149365283 scopus 로고
    • Future-sequential regularization methods for ill-posed Volterra equations
    • P. K. LAMM, Future-sequential regularization methods for ill-posed Volterra equations, J. Math. Anal. Appl., 195 (1995), pp. 469-494.
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 469-494
    • Lamm, P.K.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. Appl. Math., 56 (1996), pp. 524-541.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 524-541
    • Lamm, P.K.1
  • 6
    • 0001145560 scopus 로고    scopus 로고
    • Regularized inversion of finitely smoothing Volterra operators: Predictor-corrector regularization methods
    • P. K. LAMM, Regularized inversion of finitely smoothing Volterra operators: Predictor-corrector regularization methods. Inverse Problems, 13 (1997), pp. 375-402.
    • (1997) Inverse Problems , vol.13 , pp. 375-402
    • Lamm, P.K.1
  • 7
    • 0002629564 scopus 로고    scopus 로고
    • A survey of regularization methods for first-kind Volterra equations
    • D. Colton, H. W. Engl, A. Louis, J. R. McLaughlin, and W. Rundell, eds., Springer, Vienna
    • P. K. LAMM, A survey of regularization methods for first-kind Volterra equations, in Surveys on Solution Methods for Inverse Problems, D. Colton, H. W. Engl, A. Louis, J. R. McLaughlin, and W. Rundell, eds., Springer, Vienna, 2000, pp. 53-82.
    • (2000) Surveys on Solution Methods for Inverse Problems , pp. 53-82
    • Lamm, P.K.1
  • 9
    • 0001720890 scopus 로고    scopus 로고
    • Sequential predictor-corrector methods for the variable regularization of Volterra inverse problems
    • P. K. LAMM AND T. L. SCOFIELD, Sequential predictor-corrector methods for the variable regularization of Volterra inverse problems, Inverse Problems, 16 (2000), pp. 373-399.
    • (2000) Inverse Problems , vol.16 , pp. 373-399
    • Lamm, P.K.1    Scofield, T.L.2
  • 10
    • 0001336692 scopus 로고    scopus 로고
    • Sequential predictor-corrector regularization methods and their limitations
    • W. RING AND J. PRIX, Sequential predictor-corrector regularization methods and their limitations, Inverse Problems, 16 (2000), pp. 619-633.
    • (2000) Inverse Problems , vol.16 , pp. 619-633
    • Ring, W.1    Prix, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.