Parameter Estimation and Inverse Problems - 3rd Edition - ISBN: 9780128046517, 9780128134238

Parameter Estimation and Inverse Problems

3rd Edition

Authors: Richard C. Aster Brian Borchers Clifford H. Thurber
eBook ISBN: 9780128134238
Paperback ISBN: 9780128046517
Imprint: Elsevier
Published Date: 1st August 2018
Page Count: 400
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Description

Parameter Estimation and Inverse Problems, Third Edition is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who may not have an extensive mathematical background. The book is complemented by a companion web site that includes Matlab codes which correspond to all examples. All examples in the book are illustrated with simple, easy to follow problems, and are designed to illuminate the details of a particular numerical method.

Updates to the new edition include: more discussion of Laplacian smoothing in Chapter 4, expansion of basis function exercises in Chapter 5, addition of stochastic descent in Chapter 6, expansion of 1-­‐norm solution methods and expansion of compressive sensing in Chapter 7, improved presentation of Fourier methods and exercises in Chapter 8, more examples and exercises in Chapter 9, introduction of basic adjoint methods using simple examples, and reduction of elementary material in the Appendices.

Key Features

  • Complemented by a companion web site that includes Matlab codes which correspond to all examples
  • Features examples throughout the book which are illustrated with simple, easy to follow problems, and are designed to illuminate the details of a particular numerical method
  • Online instructor’s guide helps professors teach, customize exercises, and select homework problems
  • Includes updated information on adjoint methods, presented in an accessible manner. This method has become a rapidly emerging and very promising element of seismic and other inverse methodologies as forward modelling capabilities have increased

Readership

Graduate and advanced undergraduate students taking courses in geophysical inverse problems. It is also used as a reference for geoscientists and researchers in academe and industry

Table of Contents

1. Introduction
2. Linear Regression
3. Rank Deficiency and Ill-­‐Conditioning
4. Tikhonov Regularization
5. Discretizing by Basis Functions
6. Iterative Methods of Solving Linear Problems
7. Additional Regularization Techniques
8. Fourier Techniques
9. Nonlinear Regression
10. Nonlinear Inverse Problems
11. Bayesian Methods
12 Adjoint Methods

Details

No. of pages:
400
Language:
English
Copyright:
© Elsevier 2019
Published:
Imprint:
Elsevier
eBook ISBN:
9780128134238
Paperback ISBN:
9780128046517

About the Author

Richard C. Aster

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 processing methods and is the lead author on the previous two editions. Aster was on the Seismological Society of America Board of Directors, 2008-2014 and won the IRIS Leadership Award, 2014.

Affiliations and Expertise

New Mexico Institute of Mining and Technology, Socorro, USA

Brian Borchers

Brian Borchers

Dr. Borchers’ primary research and teaching interests are in optimization and inverse problems. He teaches a number of undergraduate and graduate courses at NMT in linear programming, nonlinear programming, time series analysis, and geophysical inverse problems. Dr. Borchers’ research has focused on interior point methods for linear and semidefinite programming and applications of these techniques to combinatorial optimization problems. He has also done work on inverse problems in geophysics and hydrology using linear and nonlinear least squares and Tikhonov regularization.

Affiliations and Expertise

New Mexico Institute of Mining and Technology, Socorro, USA

Clifford H. Thurber

Clifford H. Thurber

Professor Thurber is an international leader in research on three-dimensional seismic imaging ("seismic tomography") using earthquakes. His primary research interests are in the application of seismic tomography to fault zones, volcanoes, and subduction zones, with a long-term focus on the San Andreas fault in central California and volcanoes in Hawaii and Alaska. Other areas of expertise include earthquake location (the topic of a book he edited) and geophysical inverse theory.

Affiliations and Expertise

University of Wisconsin-Madison, USA

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