Optimal Methods for Ill-Posed Problems
| Autor: | Sidikova, Anna I. Tanana, Vitalii P. |
|---|---|
| EAN: | 9783110575736 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 138 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 19.03.2018 |
| Untertitel: | With Applications to Heat Conduction |
| Schlagworte: | Analysis / Funktionalanalysis Differenzialgleichung Finanzierung Funktionalanalysis Gleichung / Differenzialgleichung Mathematik |
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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
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