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Volumn 21, Issue 6, 2000, Pages 2096-2113

Nonlinearity, scale, and sensitivity for parameter estimation problems

Author keywords

[No Author keywords available]

Indexed keywords

LENGTH SCALE; NONLINEARITY; UNCERTAINTY ANALYSIS;

EID: 0034515912     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827598339104     Document Type: Article
Times cited : (47)

References (13)
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  • 2
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    • Effects of basis-element morn rescaling on the convergence speed for a nonlinear parameter estimation problem
    • K. BRUSDAL AND T. MANNSETH, Effects of basis-element morn rescaling on the convergence speed for a nonlinear parameter estimation problem, SIAM J. Sci. Comput., 21 (2000), pp. 2114-2125.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 2114-2125
    • Brusdal, K.1    Mannseth, T.2
  • 3
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    • Multiscale parametrization for the estimation of a diffusion coefficient in elliptic and parabolic problems
    • Perpignan, France, June
    • G. CHAVENT AND J. LIU, Multiscale parametrization for the estimation of a diffusion coefficient in elliptic and parabolic problems, in Proceedings of the Fifth IFAC Symposium on Control of Distributed Parameter Systems, Perpignan, France, June 1989, pp. 193-202.
    • (1989) Proceedings of the Fifth IFAC Symposium on Control of Distributed Parameter Systems , pp. 193-202
    • Chavent, G.1    Liu, J.2
  • 6
    • 0023288435 scopus 로고
    • Computational experience with confidence regions and confidence intervals for nonlinear least squares
    • J. R. DONALDSON AND R. B. SCHNABEL, Computational experience with confidence regions and confidence intervals for nonlinear least squares, Technometrics, 29 (1987), pp. 67-82.
    • (1987) Technometrics , vol.29 , pp. 67-82
    • Donaldson, J.R.1    Schnabel, R.B.2
  • 7
    • 0343108774 scopus 로고    scopus 로고
    • Assessing the validity of a linearized error analysis for a nonlinear parameter estimation problem
    • submitted
    • A.-A. GRIMSTAD, K. KOLLTVEIT, T. MANNSETH, AND J.-E. NORDTVEDT, Assessing the Validity of a Linearized Error Analysis for a Nonlinear Parameter Estimation Problem, SIAM J. Sci. Comput., submitted.
    • SIAM J. Sci. Comput.
    • Grimstad, A.-A.1    Kolltveit, K.2    Mannseth, T.3    Nordtvedt, J.-E.4
  • 8
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen funktionensysteme
    • A. HAAR, Zur theorie der orthogonalen funktionensysteme, Math. Ann., 69 (1910), pp. 331-371.
    • (1910) Math. Ann. , vol.69 , pp. 331-371
    • Haar, A.1
  • 9
    • 0001175118 scopus 로고
    • A multiresolution method for distributed parameter estimation
    • J. LIU, A multiresolution method for distributed parameter estimation, SIAM J. Sci. Comput., 14 (1993), pp. 389-405.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 389-405
    • Liu, J.1
  • 10
    • 0028517183 scopus 로고
    • A sensitivity analysis for least-squares ill-posed problems using the Haar basis
    • J. LIU, A sensitivity analysis for least-squares ill-posed problems using the Haar basis, SIAM J. Numer. Anal., 31 (1994), pp. 1486-1496.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1486-1496
    • Liu, J.1
  • 11
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    • A sensitivity decomposition for the regularized solution of inverse heat conduction problems by wavelets
    • J. LIU, B. GUERRIER, AND C. BERNARD, A sensitivity decomposition for the regularized solution of inverse heat conduction problems by wavelets, Inverse Problems, 11 (1995), pp. 1177-1187.
    • (1995) Inverse Problems , vol.11 , pp. 1177-1187
    • Liu, J.1    Guerrier, B.2    Bernard, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.