Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more.
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1. Introduction2. Linear Regression3. Rank Deficiency and Ill-Conditioning4. Tikhonov Regularization5. Discretizing by Basis Functions6. Iterative Methods of Solving Linear Problems7. Additional Regularization Techniques8. Fourier Techniques9. Nonlinear Regression10. Nonlinear Inverse Problems11. Bayesian Methods12 Adjoint Methods
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Promotes the fundamental issues associated with parameter fitting and inverse problems, including basic theory, statistical issues, computational issues, and more
Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method
Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems
Covers updated information on adjoint methods that are presented in an accessible manner
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Produktdetaljer
ISBN
9780128046517
Publisert
2018-10-23
Utgave
3. utgave
Utgiver
Vendor
Elsevier Science Publishing Co Inc
Vekt
810 gr
Høyde
234 mm
Bredde
191 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
404