Parameter Estimation and Inverse Problems - Softcover

Aster, Richard C.; Borchers, Brian; Thurber, Clifford H.

Softcover

ISBN 10: 0128046511 ISBN 13: 9780128046517

Publisher: Elsevier, 2018

Synopsis

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 do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more.

• Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method
• Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems
• Covers updated information on adjoint methods that are presented in an accessible manner

About this title

About the Author

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.

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.

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.

Review

"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

Edition details

• Publisher: Elsevier
• Publication date: 2018
• ISBN 10: 0128046511
• ISBN 13: 9780128046517
• Binding: Paperback
• Language: English
• Edition number: 3
• Number of pages: 404