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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LEADER | 04344nam a22008655i 4500 | ||
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001 | 9783110960716 | ||
003 | DE-B1597 | ||
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019 | |a (OCoLC)1013950495 | ||
020 | |a 9783110960716 | ||
024 | 7 | |a 10.1515/9783110960716 |2 doi | |
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041 | 0 | |a eng | |
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072 | 7 | |a MAT007000 |2 bisacsh | |
082 | 0 | 4 | |a 515.3535 |
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. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
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 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110960716 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110960716 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110960716/original |
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