Overview

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

Full Product Details

9783110575736

Table of Contents

Reviews

The book can serve as a course in the corresponding topics for master and PhD students, but it can be also used by researchers working in the eld of inverse problems. Constantin Popa in: Zentralblatt MATH 1391.65001

The book can serve as a course in the corresponding topics for master and PhD students, but it can be also used by researchers working in the eld of inverse problems. Constantin Popa in: Zentralblatt MATH 1391.65001 The book is well written and may be used for undergraduate students. The presentation is clear and the proofs are complete. Antonio C. G. Leitao in: Mathematical Reviews Clippings (April 2019) MR3791504

"""The book can serve as a course in the corresponding topics for master and PhD students, but it can be also used by researchers working in the eld of inverse problems."" Constantin Popa in: Zentralblatt MATH 1391.65001 ""The book is well written and may be used for undergraduate students. The presentation is clear and the proofs are complete."" Antonio C. G. Leitao in: Mathematical Reviews Clippings (April 2019) MR3791504"

Author Information

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

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