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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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Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation

S. I. Kabanikhin / O. Scherzer / M. A. Shishlenin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail:

Department of Computer Science, University of Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria. E-mail: .

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,

Publication History

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.

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