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An Introduction to Inverse Problems with Applications [electronic resource] / by Francisco Duarte Moura Neto, Antônio José da Silva Neto.

By: Moura Neto, Francisco Duarte [author.].
Contributor(s): da Silva Neto, Antônio José [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: XXII, 243 p. 35 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642325571.Subject(s): Engineering | Computer science | Engineering mathematics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Computational Science and Engineering | Engineering Thermodynamics, Heat and Mass TransferDDC classification: 519 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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
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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.

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

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