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Record Nr. |
UNINA9910789094303321 |
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Autore |
Kabanikhin S. I. |
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Titolo |
Direct methods of solving multidimensional inverse hyperbolic problems / / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin |
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Pubbl/distr/stampa |
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Leiden, The Netherlands : , : VSP, , 2005 |
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©2005 |
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ISBN |
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Edizione |
[Reprint 2013] |
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Descrizione fisica |
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1 online resource (187 pages) |
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Collana |
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Inverse and Ill-Posed Problems Series |
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Classificazione |
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Disciplina |
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Soggetti |
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Inverse problems (Differential equations) - Numerical solutions |
Finite differences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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. |
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