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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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Optimal methods for ill-posed problems, Vitalij Pavlovič Tanana
- Sprache
- Erscheinungsdatum
- 2018
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- Titel
- Optimal methods for ill-posed problems
- Untertitel
- With Applications to Heat Conduction
- Sprache
- Englisch
- Autor*innen
- Vitalij Pavlovič Tanana
- Verlag
- De Gruyter
- Erscheinungsdatum
- 2018
- ISBN10
- 3110575736
- ISBN13
- 9783110575736
- Kategorie
- Mathematik
- Beschreibung
- 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