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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 t

Mathematics --- Parameter estimation --- Inverse problems (Differential equations) --- Inversion (Geophysics) --- Mathematical models --- Estimation d'un paramètre --- Problèmes inversés (Equations différentielles) --- Inversion (Géophysique) --- Modèles mathématiques --- Parameter estimation. --- Mathematical models.

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Differential equations --- Asymptotic distribution (Probability theory) --- Eigenvalues --- Inverse problems (Differential equations) --- Distribution asymptotique (Théorie des probabilités) --- Valeurs propres --- Problèmes inversés (Equations différentielles) --- Distribution asymptotique (Théorie des probabilités) --- Problèmes inversés (Equations différentielles) --- Problèmes inverses (équations différentielles) --- Valeurs propres. --- Distribution asymptotique (théorie des probabilités) --- Asymptotic expansions --- Central limit theorem --- Distribution (Probability theory) --- Matrices

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Mathematical physics --- Inverse problems (Differential equations) --- Solitons --- Scattering (Mathematics) --- Problèmes inversés (Equations différentielles) --- Dispersion (Mathématiques) --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Scattering theory (Mathematics) --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Differential equations --- Solitons. --- Inverse problems (Differential equations). --- Scattering (Mathematics). --- Problèmes inversés (Equations différentielles) --- Dispersion (Mathématiques) --- Korteweg-de Vries equation --- Korteweg-de Vries, Équation de --- Fluides, Mécanique des --- Fluid mechanics --- Korteweg-de Vries equation. --- Korteweg-de Vries, Équation de --- Fluides, Mécanique des --- Fluid mechanics. --- Equations aux derivees partielles --- Equations differentielles sur une variete --- Scattering