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Call Number 515/.357
Author Tarantola, Albert.
Title Inverse problem theory and methods for model parameter estimation [electronic resource] / Albert Tarantola.
Publication Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2005.
Material Info. 1 electronic text (xii, 342 p.) : ill. (some col.), digital file.
Summary Note While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic.
Notes Includes bibliographical references (p. 317-332) and index.
Notes Chapter 1: The General Discrete Inverse Problem -- Chapter 2: Monte Carlo Methods -- Chapter 3: The Least-Squares Criterion -- Chapter 4: Least-Absolute Values Criterion and Minimax Criterion -- Chapter 5: Functional Inverse Problems -- Chapter 6: Appendices -- Chapter 7: Problems -- References -- Index.
ISBN 9780898717921 (electronic bk.)
Subject Inverse problems (Differential equations)
Subject Inverse problems
Subject Inverse methods
Subject Probability
Subject Uncertainties
Subject Least-squares
Added Entry Society for Industrial and Applied Mathematics.
Date Year, Month, Day:01405141
Link SIAM

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