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Parameter estimation and inverse problems /

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 Authors: Aster, Richard C
Corporate Authors: Elsevier Science & Technology
Group Author: Borchers, Brian; Thurber, Clifford H
Published: Academic Press,
Publisher Address: Waltham, MA :
Publication Dates: 2013.
Literature type: eBook
Language: English
Edition: 2nd ed. /
Subjects:
Parameter estimation
Inverse problems Differential equations
Inversion Geophysics
Mathematical models
Electronic books
Online Access: http://www.sciencedirect.com/science/book/9780123850485
Summary: 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 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 geo
Carrier Form: 1 online resource (x, 360 pages) : illustrations
Bibliography: Includes bibliographical references and index.
ISBN: 0123850487
9780123850485
Index Number: QA276
CLC: O175
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 Not

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