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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

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Online
ISSN
1569-3945
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Volume 13, Issue 6 (Nov 2005)

Issues

Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods

A. B. Bakushinsky
  • Institute of System Analysis, Russian Academy of Sciencies, 117312, Moscow, Russia. E-mail:
/ T. Khan
  • Dept of Mathematical Sciencies, Clemson University, SC 29634, Clemson, USA. E-mail:
/ A. Smirnova
  • Dept of Mathematics and Statistics, Georgia State University, GA 30303, Atlanta, USA. E-mail:

It is well known that the diffusion based inverse problem in optical tomography is exponentially ill-posed or unstable, see [2, 18]. In our paper we propose new iteratively regularized numerical methods for the above inverse problem. For the 1D case we compare those methods to MATLAB Levenberg—Marquardt trust region nonlinear least square routine LSQNONLIN both in terms of accuracy and efficiency.

About the article

Published Online:

Published in Print: 2005-11-01


Citation Information: Journal of Inverse and Ill-posed Problems jiip, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939405775199479. Export Citation

Citing Articles

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[1]
Natee Pantong, Aubrey Rhoden, Shao-Hua Yang, Sandra Boetcher, Hanli Liu, and Jianzhong Su
Applicable Analysis, 2011, Volume 90, Number 10, Page 1573
[2]
Michael V. Klibanov, Jianzhong Su, Natee Pantong, Hua Shan, and Hanli Liu
Applicable Analysis, 2010, Volume 89, Number 6, Page 861
[3]
A. B. Bakushinsky, A. Smirnova, and N. Tuncer
Journal of Inverse and Ill-posed Problems, 2008, Volume 16, Number 7
[4]
Jianguo Xin and Michael V. Klibanov
SIAM Journal on Scientific Computing, 2008, Volume 30, Number 6, Page 3170

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