Optimal Methods for Ill-Posed Problems

With Applications to Heat Conduction
1. Auflage 2018
ISBN: 978-3-11-057573-6
Verlag: De Gruyter

Buch, Englisch, Band 62, 130 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 426 g

Reihe: Inverse and Ill-Posed Problems Series

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.

Sidikova, Anna I.

Tanana, Vitalii P.

Fachgebiete

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

Über Autor(innen)

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