Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems /

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...

Full description

Saved in:
Bibliographic Details
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
Online Access:
Physical Description:1 online resource (179 p.) :; Zahlr. Abb.
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110960716
ctrlnum (DE-B1597)57173
(OCoLC)853255409
collection bib_alma
record_format marc
spelling 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 noLinkedField
noLinkedField
noLinkedField
noLinkedField
_version_ 1806144888512708608
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04344nam a22008655i 4500</leader><controlfield tag="001">9783110960716</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228020105.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20132004gw fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)1013950495</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110960716</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110960716</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)57173</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)853255409</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515.3535</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kabanikhin, Sergey I., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems /</subfield><subfield code="c">Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. Shishlenin.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2013</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2013]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (179 p.) :</subfield><subfield code="b">Zahlr. Abb.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Inverse and Ill-Posed Problems Series ,</subfield><subfield code="x">1381-4524 ;</subfield><subfield code="v">48</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Main definitions and notations -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Chapter 1. Finite-difference scheme inversion -- </subfield><subfield code="t">Chapter 2. Linearized multidimensional inverse problem for the wave equation -- </subfield><subfield code="t">Chapter 3. Methods of I. M. Gel’fand, Β. M. Levitan and M. G. Krein -- </subfield><subfield code="t">Chapter 4. Boundary control method -- </subfield><subfield code="t">Chapter 5. Projection method -- </subfield><subfield code="t">Appendix A -- </subfield><subfield code="t">Appendix Β -- </subfield><subfield code="t">Bibliography</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverses Problem.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partielle Differentialgleichung.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Boundary Control.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Direct Problem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finite-Difference Scheme Inversion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Gel'fand-Levitan-Krein.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inverse Problems.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linearization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projection.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Satybaev, Abdigany D., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shishlenin, Maxim A., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9789067644167</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110960716</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110960716</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110960716/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection>

Similar Items