Integral Equation Methods in Inverse Scattering Theory, Colton

Автор: Michel Kern
Название: Numerical Methods for Inverse Problems
ISBN: 1848218184 ISBN-13(EAN): 9781848218185
Издательство: Wiley
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Цена: 146730.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences.

Автор: Ito Kazufumi, Jin Bangti
Название: Inverse Problems: Tikhonov Theory and Algorithms
ISBN: 9814596191 ISBN-13(EAN): 9789814596190
Издательство: World Scientific Publishing
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Цена: 118270.00 T
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Описание:

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.