LEADER 03408nam 2200781 450 001 9910789094303321 005 20231006205355.0 010 $a3-11-096071-0 024 7 $a10.1515/9783110960716 035 $a(CKB)3390000000035318 035 $a(EBL)4008727 035 $a(SSID)ssj0001121465 035 $a(PQKBManifestationID)11733120 035 $a(PQKBTitleCode)TC0001121465 035 $a(PQKBWorkID)11180221 035 $a(PQKB)10205367 035 $a(MiAaPQ)EBC4008727 035 $a(DE-B1597)57173 035 $a(OCoLC)1013950495 035 $a(OCoLC)853255409 035 $a(DE-B1597)9783110960716 035 $a(Au-PeEL)EBL4008727 035 $a(CaPaEBR)ebr11074511 035 $a(CaONFJC)MIL807489 035 $a(OCoLC)951971276 035 $a(EXLCZ)993390000000035318 100 $a20160223h20052005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$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$dİ2005 215 $a1 online resource (187 pages) 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 610 $aBoundary Control. 610 $aDirect Problem. 610 $aFinite-Difference Scheme Inversion. 610 $aGel'fand-Levitan-Krein. 610 $aInverse Problems. 610 $aLinearization. 610 $aProjection. 615 0$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$g(Abdigany D.), 702 $aShishlenin$b M. A$g(Maxim A.), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789094303321 996 $aDirect methods of solving multidimensional inverse hyperbolic problems$93676146 997 $aUNINA