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Viser: Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
Albert Tarantola
(2005)
Sprog: Engelsk
Society for Industrial and Applied Mathematics
1.813,00 kr.
Denne bog er lige nu i restordre hos udgiveren. Vi har p.t. ingen oplysninger om hvornår eller om den igen vil kunne leveres
Detaljer om varen
- Paperback: 354 sider
- Udgiver: Society for Industrial and Applied Mathematics (Januar 2005)
- ISBN: 9780898715729
The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as they may not have a unique solution. 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, including many heuristic arguments. Prompted by recent developments in inverse theory, this text is a completely rewritten version of a 1987 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 techniques is underplayed, and Monte Carlo methods are taken much more seriously.
Chapter 1: The General Discrete Inverse Problem
Chapter 2: Monte Carol 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
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