Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems

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Description

Parameter Estimation and Inverse Problems, Second Edition 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 geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, Second Edition introduces 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.
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Product details

  • Hardback | 376 pages
  • 195.58 x 236.22 x 25.4mm | 739.35g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 2nd edition
  • black & white illustrations, black & white line drawings, black & white tables, figures
  • 0123850487
  • 9780123850485
  • 1,076,895

Review quote

"A few years ago, it was my pleasure to review for the TLE this book's first edition, published in 2005...The present revised version is some 60 pages longer and contains several significant modifications. As is true of the original, the book continues to be one of the clearest as well as the most comprehensive elementary expositions of discrete geophysical inverse theory. It is ideally suited for beginners as well as a fine resource for those searching for a particular inverse problem. Each algorithm is presented in the form of pseudo-code, then backed up by a collection of MATLAB codes downloadable from an Elsevier Web site...All examples in the book are beautifully illustrated with simple, easy to follow "cartoon" problems, and all painstakingly designed to illuminate the details of a particular numerical method."--The Leading Edge, July 2012, page 860
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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
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Review Text

"A few years ago, it was my pleasure to review for the TLE this book's first edition, published in 2005.The present revised version is some 60 pages longer and contains several significant modifications. As is true of the original, the book continues to be one of the clearest as well as the most comprehensive elementary expositions of discrete geophysical inverse theory. It is ideally suited for beginners as well as a fine resource for those searching for a particular inverse problem. Each algorithm is presented in the form of pseudo-code, then backed up by a collection of MATLAB codes downloadable from an Elsevier Web site.All examples in the book are beautifully illustrated with simple, easy to follow "cartoon" problems, and all painstakingly designed to illuminate the details of a particular numerical method."-- The Leading Edge, July 2012, page 860
"A few years ago, it was my pleasure to review for the TLE this book's first edition, published in 2005.The present revised version is some 60 pages longer and contains several significant modifications. As is true of the original, the book continues to be one of the clearest as well as the most comprehensive elementary expositions of discrete geophysical inverse theory. It is ideally suited for beginners as well as a fine resource for those searching for a particular inverse problem. Each algorithm is presented in the form of pseudo-code, then backed up by a collection of MATLAB codes downloadable from an Elsevier Web site.All examples in the book are beautifully illustrated with simple, easy to follow "cartoon" problems, and all painstakingly designed to illuminate the details of a particular numerical method."-- The Leading Edge, July 2012, page 860
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