Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-Posed Problems Series, 62) - Hardcover

Tanana, Vitalii P.; Sidikova, Anna I.

 
9783110575736: Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-Posed Problems Series, 62)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Vitalii P. Tanana and Anna I. Sidikova, South Ural State University, Russia.

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