Parameter Estimation And Inverse Problems by Richard C. AsterParameter Estimation And Inverse Problems by Richard C. Aster

Parameter Estimation And Inverse Problems

byRichard C. Aster, Brian Borchers, Clifford H. Thurber

Paperback | August 19, 2016

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Parameter Estimation and Inverse Problems, Second Editionprovides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics.

Parameter Estimation and Inverse Problems, Second Editionintroduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject.

  • Includes appendices for review of needed concepts in linear, statistics, and vector calculus.
  • Accessible to students and professionals without a highly specialized mathematical background.
Professor Aster is an Earth scientist with broad interests in geophysics, seismological imaging and source studies, and Earth processes. His work has included significant field research in western North America, Italy, and Antarctica. Professor Aster also has strong teaching and research interests in geophysical inverse and signal proc...
Title:Parameter Estimation And Inverse ProblemsFormat:PaperbackDimensions:376 pages, 8.75 × 6.35 × 0.68 inPublished:August 19, 2016Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128100923

ISBN - 13:9780128100929

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Table of Contents

1. Introduction
2. Linear Regression
3. Rank Deficiency and Ill Conditioning
4. Tikhonov Regularization
5. Discretizing Inverse Problems Using Basis Functions
6. Iterative Methods
7. Additional Regularization Techniques
8. Fourier Techniques
9. Nonlinear Regression
10. Nonlinear Inverse Problems
11. Bayesian Methods
12. Epilogue
A. Review of Linear Algebra
B. Review of Probability and Statistics
C. Review of Vector Calculus
D. Glossary of Notation