Parameter Estimation and Inverse Problems, 1. ciltAcademic Press, 11 Oca 2005  301 sayfa Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology. It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples, and definitions; introductory chapter synopses; endofchapter exercises, both programming and theoretical; and suggestions for further reading. The text is designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background.

İçindekiler
1 INTRODUCTION  1 
2 LINEAR REGRESSION  15 
3 DISCRETIZING CONTINUOUS INVERSE PROBLEMS  41 
4 RANK DEFICIENCY AND ILLCONDITIONING  55 
5 TIKHONOV REGULARIZATION  89 
6 ITERATIVE METHODS  119 
7 ADDITIONAL REGULARIZATION TECHNIQUES  139 
8 FOURIER TECHNIQUES  153 
11 BAYESIAN METHODS  201 
Appendix A REVIEW OF LINEAR ALGEBRA  219 
Appendix B REVIEW OF PROBABILITY AND STATISTICS  251 
Appendix C REVIEW OF VECTOR CALCULUS  273 
Appendix D GLOSSARY OF NOTATION  281 
283  
291  
International Geophysics Series  297 
Diğer baskılar  Tümünü görüntüle
Parameter Estimation and Inverse Problems Richard C. Aster,Brian Borchers,Clifford H. Thurber Sınırlı önizleme  2011 
Parameter Estimation and Inverse Problems Richard C. Aster,Brian Borchers,Clifford H. Thurber Sınırlı önizleme  2013 
Parameter Estimation and Inverse Problems Richard C. Aster,Brian Borchers,Clifford H. Thurber Sınırlı önizleme  2005 