An Introduction to Inverse Problems with Applications

This book explores several aspects of inverse problems, presenting needed prerequisite topics in numerical analysis and matrix algebra. ". . . a comprehensive introduction to inverse problems." - Robert E. White, Provessor of Mathematics, NC State Univ.

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

Comprehensive introduction to inverse problems Presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra Presents practical inverse problems on image restoration, thermal radiation, thermal characterization and heat transfer

Inhalt
Road map.- Mathematical modeling.- Fundamental concepts in inverse problems.- Spectral analysis of an inverse problem.- Image restoration.- Radiative transfer and heat conduction.- Thermal characterization.- Heat conduction.- A general perspective.