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| PARAMETER ESTIMATION AND INVERSE PROBLEMS
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To order this title, and for more information, click here
By
Richard Aster, New Mexico Institute of Mining and Technology, Socorro, NM
Brian Borchers, New Mexico Institute of Mining and Technology, Socorro, NM
Clifford Thurber, University of Wisconsin-Madison
Included in series
International Geophysics,
Description
Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory
graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues.
The authors' treatment promotes an understanding of fundamental and practical issus associated with parameter fitting and inverse problems
including basic theory of inverse problems, statistical issues, computational issues, and an understanding of how to analyze the success
and limitations of solutions to these probles. The text is also a practical resource for general students and professional researchers,
where techniques and concepts can be readily picked up on a chapter-by-chapter basis.
Parameter Estimation and Inverse Problems
is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences
who may not have an extensive mathematical background. It is accompanied by a Web site that contains Matlab code corresponding to all
examples.
Audience
Students and professionals in Astrophysics, Applied Mathematics, Atmospheric Science, Geologiocal Engineering, Geophysics, Hydrology, Oceanography and related fields.
Contents
Preface
1. Introduction
2. Linear Regression
3. Discretizing Continuous Inverse Problems
4. Rank Deficiency and Ill-Conditioning
5.
Tikhonov Regularization
6. Iterative Methods
7. Other Regularization Techniques
8. Fourier Techniques
9. Nonlinear Regression
10.
Nonlinear Inverse Problems
11. Bayesian Methods
Appendix A: Review of Linear Algebra
Appendix B: Review of Probability and Statistics
Appendix C: Glossary of Notation
Bibliography
Index
| Bibliographic details |
Hardbound, 320 pages, publication date: DEC-2004
ISBN-13: 978-0-12-065604-2
ISBN-10: 0-12-065604-3
Imprint: ACADEMIC PRESS
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Price:
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GBP 58.99
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Last update: 30 Nov 2009
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