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Inverse Problem Theory

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Published by Elsevier Science & Technology .
Written in English


Book details:

The Physical Object
Number of Pages630
ID Numbers
Open LibraryOL7530260M
ISBN 100444427651
ISBN 109780444427656

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Prompted by recent developments in inverse theory, Inverse Problem Theory and Methods for Model Parameter Estimation is a completely rewritten version of a book by the same author. In this version there are lots of algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions. The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods.   Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual Edition: 1. Prompted by recent developments in inverse theory, this text is a completely rewritten version of a book by the same author, and includes many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions. In addition, some notions are clarified, the role of optimization Cited by:

Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual by: Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual world. Since , Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem sets; Advanced color graphics. The forward problem is to take a model and predict observables that are compared to actual data. Contains the Physics of the problem. This often involves a mathematical model which is an approximation to the real physics. The inverse problem is to take the data and constrain the model in some way. We may want to build a model or we may wish to.

Book Review: Inverse problem theory, methods for data fitting and model parameter estimation. Albert Tarantola, Elsevier, Amsterdam and New York, , pp., Dfl/$, ISBN 0 . Find many great new & used options and get the best deals for INVERSE PROBLEM THEORY: METHODS FOR DATA FITTING AND MODEL By Albert Tarantola at the best online prices at eBay! Free shipping for many products! The book provides an up-to-date description of the methods used for fitting experimental data, or to estimate model parameters, and to unify these methods into the Inverse Problem Theory. The first part of the book deals with problems and describes Maximum likelihood, Monte Carlo, Least squares, and. The second part of the book presents three special nonlinear inverse problems in detail - the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters.