Optimal Methods for Ill-Posed Problems

Anna I. Sidikova

ISBN 10: 3110575736 / ISBN 13: 9783110575736

Published by De Gruyter, De Gruyter Mär 2018, 2018

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent¿ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problemsDe Gruyter Mouton, Genthiner Straße 13, 10785 Berlin 138 pp. Englisch.

Seller Inventory # 9783110575736

Bibliographic Details

• Title: Optimal Methods for Ill-Posed Problems
• Publisher: De Gruyter, De Gruyter Mär 2018
• Publication Date: 2018
• Language: English
• ISBN 10: 3110575736
• ISBN 13: 9783110575736
• Binding: Buch
• Condition: Neu
• Dimensions: 246W x 175H x 14D millimeters 246 millimeters width by 175 millimeters height by 14 millimeters depth
• Weight: 426 grams

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.