Richard C. Aster,
Richard C. (New Mexico Institute of Mining and Technology, Socorro, USA) Aster,
Brian Borchers,
Brian (New Mexico Institute of Mining and Technology, Socorro, USA) Borchers,
Clifford H. Thurber,
Clifford H. (University of Wisconsin-Madison, USA) Thurber
e.a.
Parameter Estimation and Inverse Problems
Paperback Engels 2018 9780128046517Levertijd ongeveer 9 werkdagen
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Samenvatting
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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Inhoudsopgave
<p>1. Introduction<br>2. Linear Regression<br>3. Rank Deficiency and Ill-Conditioning<br>4. Tikhonov Regularization<br>5. Discretizing by Basis Functions<br>6. Iterative Methods of Solving Linear Problems<br>7. Additional Regularization Techniques<br>8. Fourier Techniques<br>9. Nonlinear Regression<br>10. Nonlinear Inverse Problems11. Bayesian Methods<br>12 Adjoint Methods</p>
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