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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


Increased IMPACT FACTOR 2013: 0.593
Rank 143 out of 299 in category Mathematics in the 2013 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR): 0.466
Source Normalized Impact per Paper (SNIP): 1.251

Mathematical Citation Quotient 2013: 0.51

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Natural linearization for the identification of nonlinear heat transfer laws

H. W. Engl / P. Fusek / S. V. Pereverzev

Industrial Mathematics Institute, Johannes Kepler University, A-4040 Linz, Austria and Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, A-4040 Linz, Austria. E-mail:

Industrial Mathematics Institute, Johannes Kepler University, A-4040 Linz, Austria. Email:

Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, A-4040 Linz, Austria. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 6, Pages 567–582, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939405775199497,

Publication History

Published Online:

A fast algorithm for numerical identification of nonlinear heat transfer laws based on a natural linearization of the corresponding inverse problem is introduced. Its theoretical background is discussed, and the numerical tests show that it is suitable for problems with perturbed data. The proposed approach can be also used for other parameter identification problems, where one wants to recover an unknown nonlinear parameter β(u) from distributed noisy observations of the state u.

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