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 |
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Physical Description: | 1 online resource (179 p.) :; Zahlr. Abb. |
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Kabanikhin, Sergey I., author. aut http://id.loc.gov/vocabulary/relators/aut Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin. Reprint 2013 Berlin ; Boston : De Gruyter, [2013] ©2004 1 online resource (179 p.) : Zahlr. Abb. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Inverse and Ill-Posed Problems Series , 1381-4524 ; 48 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Inverses Problem. Partielle Differentialgleichung. MATHEMATICS / Differential Equations / General. bisacsh Boundary Control. Direct Problem. Finite-Difference Scheme Inversion. Gel'fand-Levitan-Krein. Inverse Problems. Linearization. Projection. Satybaev, Abdigany D., author. aut http://id.loc.gov/vocabulary/relators/aut Shishlenin, Maxim A., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA print 9789067644167 https://doi.org/10.1515/9783110960716 https://www.degruyter.com/isbn/9783110960716 Cover https://www.degruyter.com/document/cover/isbn/9783110960716/original |
language |
English |
format |
eBook |
author |
Kabanikhin, Sergey I., Kabanikhin, Sergey I., Satybaev, Abdigany D., Shishlenin, Maxim A., |
spellingShingle |
Kabanikhin, Sergey I., Kabanikhin, Sergey I., Satybaev, Abdigany D., Shishlenin, Maxim A., Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / Inverse and Ill-Posed Problems Series , 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 |
author_facet |
Kabanikhin, Sergey I., Kabanikhin, Sergey I., Satybaev, Abdigany D., Shishlenin, Maxim A., Satybaev, Abdigany D., Satybaev, Abdigany D., Shishlenin, Maxim A., Shishlenin, Maxim A., |
author_variant |
s i k si sik s i k si sik a d s ad ads m a s ma mas |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Satybaev, Abdigany D., Satybaev, Abdigany D., Shishlenin, Maxim A., Shishlenin, Maxim A., |
author2_variant |
a d s ad ads m a s ma mas |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Kabanikhin, Sergey I., |
title |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / |
title_full |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin. |
title_fullStr |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin. |
title_full_unstemmed |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin. |
title_auth |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / |
title_alt |
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 |
title_new |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / |
title_sort |
direct methods of solving multidimensional inverse hyperbolic problems / |
series |
Inverse and Ill-Posed Problems Series , |
series2 |
Inverse and Ill-Posed Problems Series , |
publisher |
De Gruyter, |
publishDate |
2013 |
physical |
1 online resource (179 p.) : Zahlr. Abb. Issued also in print. |
edition |
Reprint 2013 |
contents |
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 |
isbn |
9783110960716 9783110238570 9783110238471 9783110637205 9789067644167 |
issn |
1381-4524 ; |
url |
https://doi.org/10.1515/9783110960716 https://www.degruyter.com/isbn/9783110960716 https://www.degruyter.com/document/cover/isbn/9783110960716/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.3535 |
dewey-sort |
3515.3535 |
dewey-raw |
515.3535 |
dewey-search |
515.3535 |
doi_str_mv |
10.1515/9783110960716 |
oclc_num |
853255409 |
work_keys_str_mv |
AT kabanikhinsergeyi directmethodsofsolvingmultidimensionalinversehyperbolicproblems AT satybaevabdiganyd directmethodsofsolvingmultidimensionalinversehyperbolicproblems AT shishleninmaxima directmethodsofsolvingmultidimensionalinversehyperbolicproblems |
status_str |
n |
ids_txt_mv |
(DE-B1597)57173 (OCoLC)853255409 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 |
is_hierarchy_title |
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
author2_original_writing_str_mv |
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