Parameter estimation and inverse problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
Elsevier Academic Press
c2005
|
| Series: | International geophysics series
; v. 90 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | 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 Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- Index Includes bibliographical references (p. 283-289) and index 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 |
| Physical Description: | 1 Online-Ressource (xii, 301 p.) |
| ISBN: | 0080470556 0120656043 9780080470559 9780120656042 |
Staff View
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| spelling | Aster, Richard C. Verfasser aut Parameter estimation and inverse problems Richard C. Aster, Brian Borchers, and Clifford H. Thurber Amsterdam Elsevier Academic Press c2005 1 Online-Ressource (xii, 301 p.) txt rdacontent c rdamedia cr rdacarrier International geophysics series ; v. 90 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 Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- Index Includes bibliographical references (p. 283-289) and index 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 MATHEMATICS / Differential Equations / General bisacsh Mathematical models fast Parameter estimation fast Mathematisches Modell Parameter estimation Mathematical models Inversion Geologie (DE-588)4393651-9 gnd rswk-swf Inverse Methode (DE-588)4162226-1 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Geophysik (DE-588)4020252-5 gnd rswk-swf Parameterschätzung (DE-588)4044614-1 gnd rswk-swf Parameterschätzung (DE-588)4044614-1 s Inverses Problem (DE-588)4125161-1 s Inversion Geologie (DE-588)4393651-9 s 1\p DE-604 Geophysik (DE-588)4020252-5 s Inverse Methode (DE-588)4162226-1 s 2\p DE-604 Thurber, Clifford H. Sonstige oth Borchers, Brian Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=187177 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aster, Richard C. Parameter estimation and inverse problems MATHEMATICS / Differential Equations / General bisacsh Mathematical models fast Parameter estimation fast Mathematisches Modell Parameter estimation Mathematical models Inversion Geologie (DE-588)4393651-9 gnd Inverse Methode (DE-588)4162226-1 gnd Inverses Problem (DE-588)4125161-1 gnd Geophysik (DE-588)4020252-5 gnd Parameterschätzung (DE-588)4044614-1 gnd |
| subject_GND | (DE-588)4393651-9 (DE-588)4162226-1 (DE-588)4125161-1 (DE-588)4020252-5 (DE-588)4044614-1 |
| title | Parameter estimation and inverse problems |
| title_auth | Parameter estimation and inverse problems |
| title_exact_search | Parameter estimation and inverse problems |
| title_full | Parameter estimation and inverse problems Richard C. Aster, Brian Borchers, and Clifford H. Thurber |
| title_fullStr | Parameter estimation and inverse problems Richard C. Aster, Brian Borchers, and Clifford H. Thurber |
| title_full_unstemmed | Parameter estimation and inverse problems Richard C. Aster, Brian Borchers, and Clifford H. Thurber |
| title_short | Parameter estimation and inverse problems |
| title_sort | parameter estimation and inverse problems |
| topic | MATHEMATICS / Differential Equations / General bisacsh Mathematical models fast Parameter estimation fast Mathematisches Modell Parameter estimation Mathematical models Inversion Geologie (DE-588)4393651-9 gnd Inverse Methode (DE-588)4162226-1 gnd Inverses Problem (DE-588)4125161-1 gnd Geophysik (DE-588)4020252-5 gnd Parameterschätzung (DE-588)4044614-1 gnd |
| topic_facet | MATHEMATICS / Differential Equations / General Mathematical models Parameter estimation Mathematisches Modell Inversion Geologie Inverse Methode Inverses Problem Geophysik Parameterschätzung |
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