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Viser: Parameter Estimation and Inverse Problems
Parameter Estimation and Inverse Problems
Richard C. Aster, Brian Borchers og Clifford H. Thurber
(2016)
Sprog: Engelsk
Detaljer om varen
- 2. Udgave
- Paperback
- Udgiver: Elsevier Science & Technology (August 2016)
- Forfattere: Richard C. Aster, Brian Borchers og Clifford H. Thurber
- ISBN: 9780128100929
Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics.
Parameter Estimation and Inverse Problems, Second Edition introduces readers to both 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 textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject.
- Includes appendices for review of needed concepts in linear, statistics, and vector calculus.
- Accessible to students and professionals without a highly specialized mathematical background.
4. Tikhonov Regularization5. Discretizing Inverse Problems Using Basis Functions6. Iterative Methods7. Additional Regularization Techniques8. Fourier Techniques9. Nonlinear Regression10. Nonlinear Inverse Problems11. Bayesian Methods12. EpilogueA. Review of Linear AlgebraB. Review of Probability and StatisticsC. Review of Vector CalculusD. Glossary of Notation
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