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[null,"1.","Record Nr.",null,"UNINA9910824746303321"]
[null,null,"Autore",null,"Kabanikhin S. I."]
[null,null,"Titolo",null,"Direct methods of solving multidimensional inverse hyperbolic problems / / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin"]
[null,null,"Pubbl/distr/stampa",null,"Leiden, The Netherlands : , : VSP, , 2005"]
[{"$nulls":4},"©2005"]
[null,null,"ISBN",null,"3-11-096071-0"]
[null,null,"Edizione",null,"[Reprint 2013]"]
[null,null,"Descrizione fisica",null,"1 online resource (187 pages)"]
[null,null,"Collana",null,"Inverse and Ill-Posed Problems Series"]
[null,null,"Classificazione",null,"SK 560"]
[null,null,"Disciplina",null,"515/.3535"]
[null,null,"Soggetti",null,"Inverse problems (Differential equations) - Numerical solutions"]
[{"$nulls":4},"Finite differences"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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 -- Bibliography"]
[null,null,null,"Sommario/riassunto","The 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."]