Optimal Methods for Ill-Posed Problems
| Autor: | Vitalii P. Tanana, Anna I. Sidikova |
|---|---|
| EAN: | 9783110577211 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 19.03.2018 |
| Untertitel: | With Applications to Heat Conduction |
| Kategorie: | |
| Schlagworte: | Approximation Inkorrekt gestelltes Problem Inverses Problem Regularisierungsverfahren Wärmeleitung |
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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
Vitalii P. Tanana and Anna I. Sidikova, South Ural State University, Russia.
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