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....
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | Inverse and Ill-Posed Problems Series ,
62 |
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Physical Description: | 1 online resource (VIII, 130 p.) |
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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 |
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1770177688994054144 |
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