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Parameter Estimation and Inverse Problems by Brian Borchers, Richard C. Aster and Clifford H. Thurber (2012, Hardcover)

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PARAMETER ESTIMATION AND INVERSE PROBLEMS, SECOND EDITION By Richard C. Aster, Brian Borchers, Clifford H. Thurber - Hardcover.

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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. Includes appendices for review of needed concepts in linear, statistics, and vector calculus. Accessible to students and professionals without a highly specialized mathematical background.

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0123850487
ISBN-13
9780123850485
eBay Product ID (ePID)
109623907

Product Key Features

Author
Brian Borchers, Clifford H. Thurber, Richard C. Aster
Publication Name
Parameter Estimation and Inverse Problems
Format
Hardcover
Language
English
Publication Year
2012
Type
Textbook
Number of Pages
376 Pages

Dimensions

Item Length
9.2in
Item Width
7.5in

Additional Product Features

Lc Classification Number
Qa276.8.A88 2012
Edition Number
2
Reviews
"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, "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
Table of Content
1. Introduction2. Linear Regression3. Rank Deficiency and Ill Conditioning 4. Tikhonov Regularization5. Discretizing Inverse Problems Using Basis Functions6. Iterative Methods7. Additional Regularization Techniques8. Fourier Techniques9. Nonlinear Regression10. Nonlinear Inverse Problems11. Bayesian Methods12. EpilogueA. Review of Linear AlgebraB. Review of Probability and StatisticsC. Review of Vector CalculusD. Glossary of Notation
Copyright Date
2013
Target Audience
College Audience
Topic
Enterprise Applications / Business Intelligence Tools, Physics / Geophysics, Differential Equations / General, General, Earth Sciences / General
Lccn
2011-032004
Dewey Decimal
515/.357
Dewey Edition
23
Genre
Computers, Science, Mathematics

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Parameter Estimation and Inverse Problems by Brian Borchers, Richard C. Aster and Clifford H. Thurber (2012, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Textbooks

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