Tanana / Sidikova Optimal Methods for Ill-Posed Problems

With Applications to Heat Conduction
1. Auflage 2018
ISBN: 978-3-11-057583-5
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, Band 62, 138 Seiten

Reihe: Inverse and Ill-Posed Problems SeriesISSN

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

Zielgruppe

Researchers and graduate students in applied mathematics and engi

Autoren/Hrsg.

Tanana, Vitalii P.

Sidikova, Anna I.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Naturwissenschaften Physik Thermodynamik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Über Autor(innen)

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