Parameter estimation and inverse problems

Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues. The authors' treatment promotes an unde...

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Bibliographic Details
Main Author: Aster, Richard C.
Other Authors: Thurber, Clifford H., Borchers, Brian
Format: eBook
Language:English
Published: Amsterdam Elsevier Academic Press c2005, 2005
Series:International geophysics series
Subjects:
Online Access:
Collection: Elsevier ScienceDirect eBooks - Collection details see MPG.ReNa
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100 1 |a Aster, Richard C. 
245 0 0 |a Parameter estimation and inverse problems  |h [electronic resource]  |h Elektronische Ressource  |c Richard C. Aster, Brian Borchers, and Clifford H. Thurber 
260 |a Amsterdam  |b Elsevier Academic Press  |c c2005, 2005 
300 |a online resource (xii, 301 p.)  |b ill 
505 0 |a Includes bibliographical references (p. 283-289) and index 
505 0 |a Linear Regression -- Discretizing Continuous Inverse Problems -- Rank Deficiency and Ill-Conditioning -- Tikhonov Regularization -- Iterative Methods -- Other Regularization Techniques -- Fourier Techniques -- Nonlinear Regression -- Nonlinear Inverse Problems -- Bayesian Methods 
505 0 |a Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- Index 
653 |a MATHEMATICS / Differential Equations / General / bisacsh 
653 |a Mathematical models / fast / (OCoLC)fst01012085 
653 |a Parameter estimation 
653 |a Parameter estimation / fast / (OCoLC)fst01052990 
653 |a Mathematical models 
700 1 |a Thurber, Clifford H. 
700 1 |a Borchers, Brian 
041 0 7 |a eng  |2 ISO 639-2 
989 |b ESD  |a Elsevier ScienceDirect eBooks 
490 0 |a International geophysics series 
856 4 0 |u http://www.sciencedirect.com/science/bookseries/00746142/90  |x Verlag  |3 Volltext 
082 0 |a 515/.357 
520 |a Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues. The authors' treatment promotes an understanding of fundamental and practical issus associated with parameter fitting and inverse problems including basic theory of inverse problems, statistical issues, computational issues, and an understanding of how to analyze the success and limitations of solutions to these probles. The text is also a practical resource for general students and professional researchers, where techniques and concepts can be readily picked up on a chapter-by-chapter basis. Parameter Estimation and Inverse Problems 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. It is accompanied by a Web site that contains Matlab code corresponding to all examples. * Designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background * Includes three appendices for review of linear algebra and crucial concepts in statistics * Battle-tested in courses at several universities *MATLAB exercises facilitate exploration of material