Annotation 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 "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."--Publisher's website Foreword -- Preface -- Acknowledgements -- Road Map -- Mathematical Modeling -- Fundamental Concepts In Inverse Problems -- Spectral Analysis Of An Inverse Problem -- Image Restoration -- 5. Radiative Transfer And Heat Conduction -- Thermal Characterization -- Heat Conduction -- A General Perspective -- Afterword: Some Thoughts On Model Complexity And Knowledge -- Spectral Theory And A Few Other Ideas From Mathematics. Franciso Duarte Moura Neto And Antônio José Da Silva Neto. Includes Bibliographical References And Index. 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 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.
