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100   $a20160223h20052005  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDirect methods of solving multidimensional inverse hyperbolic problems /$fS. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin
205   $aReprint 2013
210  1$aLeiden, The Netherlands :$cVSP,$d2005.
210  4$d©2005
215   $a1 online resource (187 p.)
225 1 $aInverse and Ill-Posed Problems Series
300   $aDescription based upon print version of record.
311   $a3-11-062737-X 
311   $a90-6764-416-1 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tPreface -- $tContents -- $tMain definitions and notations -- $tIntroduction -- $tChapter 1. Finite-difference scheme inversion -- $tChapter 2. Linearized multidimensional inverse problem for the wave equation -- $tChapter 3. Methods of I. M. Gel'fand, ?. M. Levitan and M. G. Krein -- $tChapter 4. Boundary control method -- $tChapter 5. Projection method -- $tAppendix A -- $tAppendix ? -- $tBibliography
330   $aThe authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods. 
410  0$aInverse and ill-posed problems series.
606   $aInverse problems (Differential equations)$xNumerical solutions
606   $aFinite differences
608   $aElectronic books.
615  0$aInverse problems (Differential equations)$xNumerical solutions.
615  0$aFinite differences.
676   $a515/.3535
686   $aSK 560$2rvk
700   $aKabanikhin$b S. I.$0725459
702   $aSatybaev$b A. D.
702   $aShishlenin$b M. A.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910463647003321
996   $aDirect methods of solving multidimensional inverse hyperbolic problems$92487482
997   $aUNINA

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