A numerical investigation of Newton-type methods applied to a parabolic inverse problem

Journal of Inverse and Ill-Posed Problems

Volumn 7, Issue 6, 1999, Pages 541-560

  Kindermann, S ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744589320     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1999.7.6.541     Document Type: Article

References (8)

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2. H. W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems. Kluwer, Dordrecht, 1996.
3. H. W. Engl, K. Kunisch, and A. Neubauer, Convergence rates for Tikhonov regularization of non-linear ill-posed problems. Inverse Problems (1989) 5, 523–540.
4. A. Friedman, Partial Differential Equation of Parabolic Type. Englewood Cliffs N.J., Prentice-Hall, 1964.
5. V. Isakov and A. Sever, Numerical implementation of an integral equation method for the inverse conductivity problem. Inverse Problems (1996) 12, 939–951.
6. B. Kaltenbacher, Some Newton type methods for the regularization of nonlinear ill-posed problems. Inverse Problems (1997) 13, 729–753
7. O. A. Ladyženskaja, V.A. Solonikov, and N. N. Uralćeva, Linear and Quasilinear Equations of Parabolic Type. AMS, Providence, 1968.
8. J. Wloka, Partielle Differentialgleichungen. Teubner, Stuttgart, 1982.