Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction

ISBN-13: 9783110575736 / Angielski / Twarda / 2018 / 138 str.

Vitalii P. Tanana;Anna I. Sidikova

Opis

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

Recenzje

"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

O autorze

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