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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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.) |
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Other title: | 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 |
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Summary: | 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 |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110577211 9783110762488 9783110719550 9783110604252 9783110603255 9783110604191 9783110603194 |
ISSN: | 1381-4524 ; |
DOI: | 10.1515/9783110577211 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Vitalii P. Tanana, Anna I. Sidikova. |