Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
| By: | Sergey I. Kabanikhin; Abdigany D. Satybaev; Maxim A. Shishlenin |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110627374 |
| eText ISBN: | 9783110960716 |
| Edition: | 1 |
| Copyright: | 2004 |
| Format: | Page Fidelity |
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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.