Parameter Estimation and Inverse Problems

Richard C. Aster, Brian Borchers, Clifford H. Thurber - Collection Earth Science / Applied Mathematics / Mathematical Physics

301 pages, parution le 07/02/2005

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Résumé

How does one derive a physical model from a finite set of observations containing errors? And how can one determine the quality of such a model? This book takes on these challenging problems, providing readers with an overview of a broad array of inverse methods. Aster, Borchers, and Thurber present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment targets advanced undergraduate and first-year graduate courses on inverse problems and geophysical inverse theory.

Parameter Estimation and Inverse Problems introduces readers to 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 accompanying CD-ROM features computational examples and exercises using MATLAB routines. After learning this material, students should be well prepared to appreciate research papers that apply these methods.

Features:

End-of-chapter exercises
CD-ROM of MATLAB examples
Covers linear and nonlinear inverse problems
Appendices include handy reviews of Linear Algebra, Statistics, and Vector Calculus

L'auteur - Richard C. Aster

Richard Aster , New Mexico Institute of Mining and Technology, Socorro, NM

L'auteur - Brian Borchers

Brian Borchers , New Mexico Institute of Mining and Technology, Socorro, NM

L'auteur - Clifford H. Thurber

Clifford Thurber , University of Wisconsin-Madison

Sommaire

Introduction
Linear Regression
Discretizing Continuous Inverse Problems
Rank Deficiency and Ill-Conditioning
Tikhonov Regularization
Iterative Methods
Additional Regularization Techniques
Fourier Techniques
Nonlinear Regression
Nonlinear Inverse Problems
Bayesian Methods
Appendix A: Review of Linear Algebra
Appendix B: Review of Probability and Statistics
Appendix C: Review of Vector Calculus
Appendix D: Glossary of Notation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Elsevier
Auteur(s)	Richard C. Aster, Brian Borchers, Clifford H. Thurber
Collection	Earth Science / Applied Mathematics / Mathematical Physics
Parution	07/02/2005
Nb. de pages	301
Format	19,5 x 24
Couverture	Relié
Poids	822g
Intérieur	Noir et Blanc
EAN13	9780120656042
ISBN13	978-0-12-065604-2