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Tanana, Vitalii P. / Sidikova, Anna I.

Optimal Methods for Ill-Posed Problems

With Applications to Heat Conduction

Series:Inverse and Ill-Posed Problems Series 62

    86,95 € / $99.99 / £79.00*

    eBook (PDF)
    Publication Date:
    March 2018
    Copyright year:
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    • A compact and up-to-date overview of optimal methods for solving ill-posed problems
    • Covers error estimates and applications to heat conduction problems
    • Of interest to reseachers and graduate students in applied mathematics and engineering

    Aims and Scope

    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.

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

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