Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / / 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...

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Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
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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
Online Access:
Physical Description:1 online resource (179 p.) :; Zahlr. Abb.
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100 1 |a Kabanikhin, Sergey I.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems /  |c Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin. 
250 |a Reprint 2013 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2013] 
264 4 |c ©2004 
300 |a 1 online resource (179 p.) :  |b Zahlr. Abb. 
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490 0 |a Inverse and Ill-Posed Problems Series ,  |x 1381-4524 ;  |v 48 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t Main definitions and notations --   |t Introduction --   |t Chapter 1. Finite-difference scheme inversion --   |t Chapter 2. Linearized multidimensional inverse problem for the wave equation --   |t Chapter 3. Methods of I. M. Gel’fand, Β. M. Levitan and M. G. Krein --   |t Chapter 4. Boundary control method --   |t Chapter 5. Projection method --   |t Appendix A --   |t Appendix Β --   |t Bibliography 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 4 |a Inverses Problem. 
650 4 |a Partielle Differentialgleichung. 
650 7 |a MATHEMATICS / Differential Equations / General.  |2 bisacsh 
653 |a Boundary Control. 
653 |a Direct Problem. 
653 |a Finite-Difference Scheme Inversion. 
653 |a Gel'fand-Levitan-Krein. 
653 |a Inverse Problems. 
653 |a Linearization. 
653 |a Projection. 
700 1 |a Satybaev, Abdigany D.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Shishlenin, Maxim A.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Backlist Complete English Language 2000-2014 PART1  |z 9783110238570 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Backlist Mathematics 2000-2014 (EN)  |z 9783110238471 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Mathematics - 2000 - 2014  |z 9783110637205  |o ZDB-23-GMA 
776 0 |c print  |z 9789067644167 
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