Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems: 48 (Inverse and Ill-Posed Problems Series, 48) - Hardcover

Kabanikhin, Sergey I.; Satybaev, Abdigany D.; Shishlenin, Maxim A.

Hardcover

ISBN 10: 9067644161 ISBN 13: 9789067644167

Publisher: VSP International Science Publishers, 2004

Synopsis

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.

About this title

Review

'This book contains a wealth of results and practical numerical methods for IPHE and is certainly a valuable addition to the literature on inverse problems for partial differential equations.' Amin Boumenir, Mathematical Reviews, 2005.

Synopsis

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 describe and analyze finite-difference scheme inversion, linearized multidimensional inverse problems for the wave equation, methods of Gel'fand, Levitan and Krei

Edition details

• Publisher: VSP International Science Publishers
• Publication date: 2004
• Language: English
• ISBN 10: 9067644161
• ISBN 13: 9789067644167
• Binding: Hardcover
• Number of pages: 179