Direct methods of solving multidimensional inverse hyperbolic problems / / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin
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| Autore: |
Kabanikhin S. I.
|
| Titolo: |
Direct methods of solving multidimensional inverse hyperbolic problems / / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin
|
| Pubblicazione: | Leiden, The Netherlands : , : VSP, , 2005 |
| ©2005 | |
| Edizione: | Reprint 2013 |
| Descrizione fisica: | 1 online resource (187 pages) |
| Disciplina: | 515/.3535 |
| Soggetto topico: | Inverse problems (Differential equations) - Numerical solutions |
| Finite differences | |
| Soggetto non controllato: | Boundary Control |
| Direct Problem | |
| Finite-Difference Scheme Inversion | |
| Gel'fand-Levitan-Krein | |
| Inverse Problems | |
| Linearization | |
| Projection | |
| Classificazione: | SK 560 |
| Persona (resp. second.): | SatybaevA. D (Abdigany D.) |
| ShishleninM. A (Maxim A.) | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | 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 |
| 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. |
| Titolo autorizzato: | Direct methods of solving multidimensional inverse hyperbolic problems |
| ISBN: | 3-11-096071-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910789094303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Inverse and ill-posed problems series.