|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910824746303321 |
|
|
Autore |
Kabanikhin S. I. |
|
|
Titolo |
Direct methods of solving multidimensional inverse hyperbolic problems / / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Leiden, The Netherlands : , : VSP, , 2005 |
|
©2005 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[Reprint 2013] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (187 pages) |
|
|
|
|
|
|
Collana |
|
Inverse and Ill-Posed Problems Series |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Inverse problems (Differential equations) - Numerical solutions |
Finite differences |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
|
|