03140nam 2200709 450 991046364700332120200520144314.03-11-096071-010.1515/9783110960716(CKB)3390000000035318(EBL)4008727(SSID)ssj0001121465(PQKBManifestationID)11733120(PQKBTitleCode)TC0001121465(PQKBWorkID)11180221(PQKB)10205367(MiAaPQ)EBC4008727(DE-B1597)57173(OCoLC)1013950495(OCoLC)853255409(DE-B1597)9783110960716(Au-PeEL)EBL4008727(CaPaEBR)ebr11074511(CaONFJC)MIL807489(OCoLC)951971276(EXLCZ)99339000000003531820160223h20052005 uy 0engur|n|---|||||txtccrDirect methods of solving multidimensional inverse hyperbolic problems /S. I. Kabanikhin, A. D. Satybaev, and M. A. ShishleninReprint 2013Leiden, The Netherlands :VSP,2005.©20051 online resource (187 p.)Inverse and Ill-Posed Problems SeriesDescription based upon print version of record.3-11-062737-X 90-6764-416-1 Includes bibliographical references.Frontmatter -- Preface -- Contents -- Main definitions and notations -- Introduction -- Chapter 1. Finite-difference scheme inversion -- Chapter 2. Linearized multidimensional inverse problem for the wave equation -- Chapter 3. Methods of I. M. Gel'fand, Β. M. Levitan and M. G. Krein -- Chapter 4. Boundary control method -- Chapter 5. Projection method -- Appendix A -- Appendix Β -- BibliographyThe 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. Inverse and ill-posed problems series.Inverse problems (Differential equations)Numerical solutionsFinite differencesElectronic books.Inverse problems (Differential equations)Numerical solutions.Finite differences.515/.3535SK 560rvkKabanikhin S. I.725459Satybaev A. D.Shishlenin M. A.MiAaPQMiAaPQMiAaPQBOOK9910463647003321Direct methods of solving multidimensional inverse hyperbolic problems2487482UNINA