Parameter Estimation and Inverse Problems

avec 1 Cédérom

Richard-C Aster

,

Brian Borchers

,

Clifford H Thurber

Note moyenne 
Richard-C Aster et Brian Borchers - Parameter Estimation and Inverse Problems. 1 Cédérom
How does one derive a physical model from a finite set of observations containing errors ? And how can one determine the quality of such a model ? This... Lire la suite
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Résumé

How does one derive a physical model from a finite set of observations containing errors ? And how can one determine the quality of such a model ? This book takes on these challenging problems, providing readers with an overview of a broad array of inverse methods. Aster, Borchers, and Thurber present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment targets advanced undergraduate and first-year graduate courses on inverse problems and geophysical inverse theory. Parameter Estimation and Inverse Problems introduces readers to 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 accompanying CD-ROM features computational examples and exercises using MATLAB routines. After learning this material, students should be well prepared to appreciate research papers that apply these methods.

Sommaire

    • Linear regression
    • Discretizing continuous inverse problems
    • Rank deficiency and ill-conditioning
    • Tikhonov regularization
    • Iterative method
    • Additional regularization techniques
    • Fourier techniques
    • Nonlinear regression
    • Nonlinear inverse problems
    • Bayesian methods

Caractéristiques

  • Date de parution
    01/01/2005
  • Editeur
  • ISBN
    0-12-065604-3
  • EAN
    9780120656042
  • Présentation
    Relié
  • Nb. de pages
    301 pages
  • Poids
    0.825 Kg
  • Dimensions
    19,5 cm × 24,0 cm × 2,0 cm

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