Free Ebook BookInverse Problems Tikhonov Theory and Algorithms (Series on Applied Mathematics)

[Read.MzpO] Inverse Problems Tikhonov Theory and Algorithms (Series on Applied Mathematics)

[Read.MzpO] Inverse Problems Tikhonov Theory and Algorithms (Series on Applied Mathematics)

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Book Details :
Published on: 2014-10-23
Released on: 2014-08-28
Original language: English

Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference. The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems. It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering. Readership: Advanced undergraduates, graduates and researchers in applied mathematics, computational mathematics, optimization, statistics, natural science and engineering. It will appeal to those interested in inverse problems. Least squares - Wikipedia The method of least squares is a standard approach in regression analysis to the approximate solution of overdetermined systems i.e. sets of equations in which ... University of Calgary : Geophysics GOPH The key geophysical concepts and methods that are used to study the Earth and solve various geoscientific problems. Includes: earthquake seismology gravity and ... Journal of Computational and Applied Mathematics ... Journal of Computational and Applied Mathematics Volume 319 In Progress Volume / Issue In ProgressA Volume/Issue that is "In Progress" contains final fully citable ... Regularization (mathematics) - Wikipedia Regularization in mathematics and statistics and particularly in the fields of machine learning and inverse problems refers to a process of introducing additional ... CBS Publications - Welcome to CBS The genetics of blood pressure regulation and its target organs from association studies in 342415 individuals. Ehret GB Ferreira T Chasman DI Jackson AU Schmidt ...
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