Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
| Autor: | Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin |
|---|---|
| EAN: | 9783110960716 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 09.04.2013 |
| Kategorie: | |
| Schlagworte: | Inverse Problems; Direct Problem; Finite-Difference Scheme Inversion; Linearization; Gel'fand-Levitan-Krein; Boundary Control; Projection Inverses Problem Partielle Differentialgleichung |
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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.