Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-posed Problems)

Tanana, Vitalii P, Sidikova, Anna I

ISBN 10: 3110575736 / ISBN 13: 9783110575736

Published by de Gruyter, 2018

About this Item

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Seller Inventory # ERICA77331105757366

Bibliographic Details

• Title: Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-posed Problems)
• Publisher: de Gruyter
• Publication Date: 2018
• Language: English
• ISBN 10: 3110575736
• ISBN 13: 9783110575736
• Binding: Hardcover
• Condition: New
• Book Type: book

About this title

Synopsis

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

About the Author

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