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
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Volume 22 (2014)
Volume 21 (2013)
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Volume 11 (2003)
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Most Downloaded Articles
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
- Obituary of Alfredo Lorenzi
- A numerical study of heuristic parameter choice rules for total variation regularization by Kindermann, Stefan/ Mutimbu, Lawrence D. and Resmerita, Elena
- Limited-angle cone-beam computed tomography image reconstruction by total variation minimization and piecewise-constant modification by Zeng, Li/ Guo, Jiqiang and Liu, Baodong
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems by Klibanov, Michael V.
Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation
∗Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: (email)
†Department of Computer Science, University of Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria. E-mail: (email).
‡Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia.
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 11, Issue 1, Pages 87–109, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939403322004955,
- Published Online:
In this paper we study the problem of estimating a two-dimensional parameter in the wave equation from overdetermined observational boundary data. The inverse problem is reformulated as an integral equation and two numerical algorithms, the projection method and the Landweber iteration method are investigated. By the projection method the inverse problem is reduced to a finite dimensional system of integral equations. We prove convergence of the projection method. Moreover, we show that the Landweber iteration method is a stable and convergent numerical method for solving this parameter estimation problem.