Optimal Methods for Ill-Posed Problems
With Applications to Heat Conduction
(Sprache: Englisch)
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...
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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. Contents
Modulus 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 kind
Tikhonov regularization method
Projection-regularization method
Inverse heat exchange problems
Autoren-Porträt von Vitalii P. Tanana, Anna I. Sidikova
Vitalii P. Tanana and Anna I. Sidikova, South Ural State University, Russia.
Bibliographische Angaben
- Autoren: Vitalii P. Tanana , Anna I. Sidikova
- 2018, VIII, 130 Seiten, Masse: 17,5 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110575736
- ISBN-13: 9783110575736
- Erscheinungsdatum: 19.03.2018
Sprache:
Englisch
Pressezitat
"The book can serve as a course in the corresponding topics for master and PhD students, but it can be also used by researchers working in the eld of inverse problems."Constantin Popa in: Zentralblatt MATH 1391.65001
"The book is well written and may be used for undergraduate students. The presentation is clear and the proofs are complete."
Antonio C. G. Leitao in: Mathematical Reviews Clippings (April 2019) MR3791504
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