Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / / Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Kabanikhin, Sergey I.,; Satybaev, Abdigany D.,; Shishlenin, Maxim A.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2013]; ©2004
• Year of Publication: 2013
• Edition: Reprint 2013
• Language: English
• Series: Inverse and Ill-Posed Problems Series , 48
• Physical Description: 1 online resource (179 p.) :; Zahlr. Abb.
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110960716; 9783110238570; 9783110238471; 9783110637205
• ISSN: 1381-4524
• DOI: 10.1515/9783110960716
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin.

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.