Direct Methods Of Solving Multidimensional Inverse Hyperbolic Problems (INVERSE AND ILL-POSED PROBLEMS SERIES, V. 48)
Language: English
Published by De Gruyter, 2004
- Hardcover
- Used
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- Title
- Direct Methods Of Solving Multidimensional Inverse Hyperbolic Problems (INVERSE AND ILL-POSED PROBLEMS SERIES, V. 48)
- Author
- Kabanikhin, S. I.; Satybaev, A. D.; Shishlenin, M. A.
- Publisher
- De Gruyter
- Publication year
- 2004
- Condition
- very_good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9067644161
- ISBN 13
- 9789067644167
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 methodand prove theorems of convergence, conditional stability, and other properties of the mentioned methods.
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