Optimal Methods for Ill-Posed Problems
With Applications to Heat Conduction
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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
Autor*in
Vitalii P. Tanana
Themen in »Optimal Methods for Ill-Posed Problems«
Approximation Inkorrekt gestelltes Problem Inverses Problem Regularisierungsverfahren Wärmeleitung