An Introduction to Inverse Problems with Applications

✍ Scribed by Francisco Duarte Moura Neto, Antônio José da Silva Neto (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 254
• Edition: 1
• Category: Library

✦ Synopsis

Computational engineering/science uses a blend of applications, mathematical models and computations. Mathematical models require accurate approximations of their parameters, which are often viewed as solutions to inverse problems. Thus, the study of inverse problems is an integral part of computational engineering/science. This book presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4-8 on image restoration, thermal radiation, thermal characterization and heat transfer.

“This text does provide a comprehensive introduction to inverse problems and fills a void in the literature”.

Robert E White, Professor of Mathematics, North Carolina State University

✦ Table of Contents

Front Matter....Pages 1-17
Road Map....Pages 1-6
Mathematical Modeling....Pages 7-26
Fundamental Concepts in Inverse Problems....Pages 27-52
Spectral Analysis of an Inverse Problem....Pages 53-83
Image Restoration....Pages 85-107
Radiative Transfer and Heat Conduction....Pages 109-128
Thermal Characterization....Pages 129-139
Heat Conduction....Pages 141-156
A General Perspective....Pages 157-176
Back Matter....Pages 0--1

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Computational Science and Engineering; Engineering Thermodynamics, Heat and Mass Transfer