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Parameter estimation and inverse problems.

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Parameter Estimation and Inverse Problems, 2e provides 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...

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Bibliographic Details
Main Author: Aster, Richard C.
Corporate Author: ebrary, Inc
Other Authors: Borchers, Brian, Thurber, Clifford H.
Format: eBook
Language:English
Published: Waltham, MA : Academic Press, [2013]
Edition:2nd ed. /
Subjects:
Parameter estimation.
Inverse problems (Differential equations)
Inversion (Geophysics)
Mathematical models.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Chapter 1: Introduction
  • Chapter 2: Linear Regression
  • Chapter 3: Rank Deficiency and Ill Conditioning
  • Chapter 4: Tikhonov Regularization
  • Chapter 5: Discretizing Inverse Problems Using Basis Functions
  • Chapter 6: Iterative Methods
  • Chapter 7: Additional Regularization Techniques
  • Chapter 8: Fourier Techniques
  • Chapter 9: Nonlinear Regression
  • Chapter 10: Nonlinear Inverse Problems
  • Chapter 11: Bayesian Methods
  • Chapter 12: Epilogue
  • A. Review of Linear Algebra
  • B. Review of Probability and Statistics
  • C. Review of Vector Calculus
  • D. Glossary of Notation
  • Bibliography
  • Index.