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

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

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