Optimal Methods for Ill-Posed Problems : : With Applications to Heat Conduction / / Vitalii P. Tanana, Anna I. Sidikova.

The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics....

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
VerfasserIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Series:Inverse and Ill-Posed Problems Series , 62
Online Access:
Physical Description:1 online resource (VIII, 130 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110577211
ctrlnum (DE-B1597)489576
(OCoLC)1029810422
collection bib_alma
record_format marc
spelling Tanana, Vitalii P., author. aut http://id.loc.gov/vocabulary/relators/aut
Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction / Vitalii P. Tanana, Anna I. Sidikova.
Berlin ; Boston : De Gruyter, [2018]
©2018
1 online resource (VIII, 130 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Inverse and Ill-Posed Problems Series , 1381-4524 ; 62
Frontmatter -- Introduction -- Contents -- 1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems -- 2. Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind -- 3. Tikhonov regularization method -- 4. Projection-regularization method -- 5. Inverse heat exchange problems -- References -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent’ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
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)
Inverse problems (Differential equations).
Numerical analysis Improperly posed problems.
Approximation.
Inkorrekt gestelltes Problem.
Inverses Problem.
Regularisierungsverfahren.
Wärmeleitung.
MATHEMATICS / Differential Equations / Partial. bisacsh
Sidikova, Anna I., author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA
EPUB 9783110575835
print 9783110575736
https://doi.org/10.1515/9783110577211
https://www.degruyter.com/isbn/9783110577211
Cover https://www.degruyter.com/document/cover/isbn/9783110577211/original
language English
format eBook
author Tanana, Vitalii P.,
Tanana, Vitalii P.,
Sidikova, Anna I.,
spellingShingle Tanana, Vitalii P.,
Tanana, Vitalii P.,
Sidikova, Anna I.,
Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction /
Inverse and Ill-Posed Problems Series ,
Frontmatter --
Introduction --
Contents --
1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems --
2. Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind --
3. Tikhonov regularization method --
4. Projection-regularization method --
5. Inverse heat exchange problems --
References --
Index
author_facet Tanana, Vitalii P.,
Tanana, Vitalii P.,
Sidikova, Anna I.,
Sidikova, Anna I.,
Sidikova, Anna I.,
author_variant v p t vp vpt
v p t vp vpt
a i s ai ais
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Sidikova, Anna I.,
Sidikova, Anna I.,
author2_variant a i s ai ais
author2_role VerfasserIn
VerfasserIn
author_sort Tanana, Vitalii P.,
title Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction /
title_sub With Applications to Heat Conduction /
title_full Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction / Vitalii P. Tanana, Anna I. Sidikova.
title_fullStr Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction / Vitalii P. Tanana, Anna I. Sidikova.
title_full_unstemmed Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction / Vitalii P. Tanana, Anna I. Sidikova.
title_auth Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction /
title_alt Frontmatter --
Introduction --
Contents --
1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems --
2. Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind --
3. Tikhonov regularization method --
4. Projection-regularization method --
5. Inverse heat exchange problems --
References --
Index
title_new Optimal Methods for Ill-Posed Problems :
title_sort optimal methods for ill-posed problems : with applications to heat conduction /
series Inverse and Ill-Posed Problems Series ,
series2 Inverse and Ill-Posed Problems Series ,
publisher De Gruyter,
publishDate 2018
physical 1 online resource (VIII, 130 p.)
Issued also in print.
contents Frontmatter --
Introduction --
Contents --
1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems --
2. Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind --
3. Tikhonov regularization method --
4. Projection-regularization method --
5. Inverse heat exchange problems --
References --
Index
isbn 9783110577211
9783110762488
9783110719550
9783110604252
9783110603255
9783110604191
9783110603194
9783110575835
9783110575736
issn 1381-4524 ;
url https://doi.org/10.1515/9783110577211
https://www.degruyter.com/isbn/9783110577211
https://www.degruyter.com/document/cover/isbn/9783110577211/original
illustrated Not Illustrated
dewey-hundreds 200 - Religion
dewey-tens 290 - Other religions
dewey-ones 295 - Zoroastrianism
dewey-full 295
dewey-sort 3295
dewey-raw 295
dewey-search 295
doi_str_mv 10.1515/9783110577211
oclc_num 1029810422
work_keys_str_mv AT tananavitaliip optimalmethodsforillposedproblemswithapplicationstoheatconduction
AT sidikovaannai optimalmethodsforillposedproblemswithapplicationstoheatconduction
status_str n
ids_txt_mv (DE-B1597)489576
(OCoLC)1029810422
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018
is_hierarchy_title Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction /
container_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
author2_original_writing_str_mv noLinkedField
noLinkedField
_version_ 1770177688994054144
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04663nam a22008895i 4500</leader><controlfield tag="001">9783110577211</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228123812.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20182018gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110577211</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110577211</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)489576</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1029810422</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">MAT007020</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">295</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tanana, Vitalii P., </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">Optimal Methods for Ill-Posed Problems :</subfield><subfield code="b">With Applications to Heat Conduction /</subfield><subfield code="c">Vitalii P. Tanana, Anna I. Sidikova.</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">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (VIII, 130 p.)</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">62</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems -- </subfield><subfield code="t">2. Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind -- </subfield><subfield code="t">3. Tikhonov regularization method -- </subfield><subfield code="t">4. Projection-regularization method -- </subfield><subfield code="t">5. Inverse heat exchange problems -- </subfield><subfield code="t">References -- </subfield><subfield code="t">Index</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 book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent’ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems</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="0"><subfield code="a">Inverse problems (Differential equations).</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Numerical analysis</subfield><subfield code="x">Improperly posed problems.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inkorrekt gestelltes Problem.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverses Problem.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Regularisierungsverfahren.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wärmeleitung.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / Partial.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sidikova, Anna 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="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Plus DeG Package 2018 Part 1</subfield><subfield code="z">9783110762488</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">DG Plus eBook-Package 2018</subfield><subfield code="z">9783110719550</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">EBOOK PACKAGE COMPLETE 2018 English</subfield><subfield code="z">9783110604252</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">EBOOK PACKAGE COMPLETE 2018</subfield><subfield code="z">9783110603255</subfield><subfield code="o">ZDB-23-DGG</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">EBOOK PACKAGE Mathematics 2018 English</subfield><subfield code="z">9783110604191</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">EBOOK PACKAGE Mathematics 2018</subfield><subfield code="z">9783110603194</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110575835</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110575736</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110577211</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110577211</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110577211/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-060419-1 EBOOK PACKAGE Mathematics 2018 English</subfield><subfield code="b">2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-060425-2 EBOOK PACKAGE COMPLETE 2018 English</subfield><subfield code="b">2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-071955-0 DG Plus eBook-Package 2018</subfield><subfield code="b">2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-076248-8 DG Plus DeG Package 2018 Part 1</subfield><subfield code="b">2018</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-DGG</subfield><subfield code="b">2017</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2018</subfield></datafield></record></collection>