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Volumn 30, Issue 6, 2009, Pages 741-752

A mixed Newton-Tikhonov method for nonlinear ill-posed problems

Author keywords

Convergence; Inverse heat conduction problem; Mixed Newton Tikhonov method; Nonlinear ill posed problem; Stability

Indexed keywords

COMPUTATIONAL COSTS; CONVERGENCE; CONVERGENCE AND STABILITY; EFFICIENT METHOD; INVERSE HEAT CONDUCTION PROBLEM; MIXED NEWTON-TIKHONOV METHOD; NEWTON METHODS; NEWTON-TYPE METHODS; NONLINEAR ILL-POSED PROBLEM; NONLINEAR ILL-POSED PROBLEMS; NUMERICAL EXPERIMENTS; ONE STEP; PRACTICAL PROBLEMS; TIKHONOV METHOD;

EID: 67649921928     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-009-0608-2     Document Type: Article
Times cited : (8)

References (10)
  • 1
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    • A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems
    • M. Hanke 1997 A regularization Levenberg-Marquardt scheme, with application to inverse groundwater filtration problems Inverse Problems 13 1 79 95 (Pubitemid 127549952)
    • (1997) Inverse Problems , vol.13 , Issue.1 , pp. 79-95
    • Hanke, M.1
  • 5
    • 0034373413 scopus 로고    scopus 로고
    • On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
    • Q. N. Jin 2000 On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems Math. Comp. 69 232 1603 1623
    • (2000) Math. Comp. , vol.69 , Issue.232 , pp. 1603-1623
    • Jin, Q.N.1
  • 6
    • 49749140382 scopus 로고    scopus 로고
    • A convergence analysis of the iteratively regularized Gauss-Newton method under the lipschitz condition
    • Q. N. Jin 2008 A convergence analysis of the iteratively regularized Gauss-Newton method under the lipschitz condition Inverse Problems 24 4 1 16
    • (2008) Inverse Problems , vol.24 , Issue.4 , pp. 1-16
    • Jin, Q.N.1
  • 7
    • 0040893030 scopus 로고
    • A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
    • M. Hanke A. Neubauer O. Scherzer 1995 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems Numerical Mathematics 72 11 21 37
    • (1995) Numerical Mathematics , vol.72 , Issue.11 , pp. 21-37
    • Hanke, M.1    Neubauer, A.2    Scherzer, O.3
  • 8
    • 0345875999 scopus 로고    scopus 로고
    • A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
    • P. Deuflhard H. W. Engl O. Scherzer 1998 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions Inverse Problems 14 5 1081 1106 (Pubitemid 128557062)
    • (1998) Inverse Problems , vol.14 , Issue.5 , pp. 1081-1106
    • Deuflhard, P.1    Engl, H.W.2    Scherzer, O.3
  • 10
    • 38049187827 scopus 로고    scopus 로고
    • A Newton type iterative method for heat-conduction inverse problems
    • G. Q. He Z. H. Meng 2007 A Newton type iterative method for heat-conduction inverse problems Appl. Math. Mech. -Engl. Ed. 28 4 531 539
    • (2007) Appl. Math. Mech. -Engl. Ed. , vol.28 , Issue.4 , pp. 531-539
    • He, G.Q.1    Meng, Z.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.