Optimal Methods for Ill-Posed Problems :: With Applications to Heat Conduction /
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....
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | Inverse and ill-posed problems series ;
v. 62. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 problems Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems. |
| Beschreibung: | 1 online resource (138 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110577211 3110577216 9783110577228 3110577224 |
Internformat
MARC
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| 100 | 1 | |a Tanana, Vitalii P., |e author. | |
| 245 | 1 | 0 | |a Optimal Methods for Ill-Posed Problems : |b With Applications to Heat Conduction / |c Vitalii P. Tanana, Anna I. Sidikova. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
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| 490 | 1 | |a Inverse and Ill-Posed Problems Series ; |v volume 62 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Introduction -- |t Contents -- |t 1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems -- |t 2. Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kind -- |t 3. Tikhonov regularization method -- |t 4. Projection-regularization method -- |t 5. Inverse heat exchange problems -- |t References -- |t Index. |
| 520 | |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 problems Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems. | ||
| 546 | |a In English. | ||
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| author | Tanana, Vitalii P. Sidikova, Anna I. |
| author_facet | Tanana, Vitalii P. Sidikova, Anna I. |
| author_role | aut aut |
| author_sort | Tanana, Vitalii P. |
| author_variant | v p t vp vpt a i s ai ais |
| building | Verbundindex |
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| 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. |
| ctrlnum | (OCoLC)1029810422 |
| dewey-full | 519.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.4 |
| dewey-search | 519.4 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1029810422 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:28:16Z |
| institution | BVB |
| isbn | 9783110577211 3110577216 9783110577228 3110577224 |
| language | English |
| oclc_num | 1029810422 |
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| series | Inverse and ill-posed problems series ; |
| series2 | Inverse and Ill-Posed Problems Series ; |
| spelling | Tanana, Vitalii P., author. 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 (138 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Inverse and Ill-Posed Problems Series ; volume 62 Includes bibliographical references and index. 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. 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 problems Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems. In English. Online resource; title from PDF title page (publisher's Web site, viewed 27. Mrz 2018). Numerical analysis Improperly posed problems. http://id.loc.gov/authorities/subjects/sh85093240 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Analyse numérique Problèmes mal posés. Problèmes inverses (Équations différentielles) MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Inverse problems (Differential equations) fast Numerical analysis Improperly posed problems fast Sidikova, Anna I., author. has work: Optimal methods for ill-posed problems (Text) https://id.oclc.org/worldcat/entity/E39PCGggjgBXQvwtGYmjGxbQVP https://id.oclc.org/worldcat/ontology/hasWork Print version: 9783110575835 Print version: 9783110575736 Inverse and ill-posed problems series ; v. 62. http://id.loc.gov/authorities/names/no95046818 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1738316 Volltext |
| spellingShingle | 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. Numerical analysis Improperly posed problems. http://id.loc.gov/authorities/subjects/sh85093240 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Analyse numérique Problèmes mal posés. Problèmes inverses (Équations différentielles) MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Inverse problems (Differential equations) fast Numerical analysis Improperly posed problems fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85093240 http://id.loc.gov/authorities/subjects/sh85067684 |
| title | 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_auth | Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction / |
| title_exact_search | Optimal Methods for Ill-Posed Problems : 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_short | Optimal Methods for Ill-Posed Problems : |
| title_sort | optimal methods for ill posed problems with applications to heat conduction |
| title_sub | With Applications to Heat Conduction / |
| topic | Numerical analysis Improperly posed problems. http://id.loc.gov/authorities/subjects/sh85093240 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Analyse numérique Problèmes mal posés. Problèmes inverses (Équations différentielles) MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Inverse problems (Differential equations) fast Numerical analysis Improperly posed problems fast |
| topic_facet | Numerical analysis Improperly posed problems. Inverse problems (Differential equations) Analyse numérique Problèmes mal posés. Problèmes inverses (Équations différentielles) MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Numerical analysis Improperly posed problems |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1738316 |
| work_keys_str_mv | AT tananavitaliip optimalmethodsforillposedproblemswithapplicationstoheatconduction AT sidikovaannai optimalmethodsforillposedproblemswithapplicationstoheatconduction |