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

Tanana, Vitalii P.; Sidikova, Anna I.

ISBN 10: 3110575736 / ISBN 13: 9783110575736

Published by De Gruyter, 2018

About this Item

Seller Inventory # 383155763

Bibliographic Details

• Title: Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction: 62 (Inverse and Ill-Posed Problems Series, 62)
• Publisher: De Gruyter
• Publication Date: 2018
• Language: English
• ISBN 10: 3110575736
• ISBN 13: 9783110575736
• Binding: Hardcover
• Condition: New

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.