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The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III: Overcoming the Curse of Dimensionality: Nonlinear Systems (Nth-order ... Adjoint Sensitivity Analysis Methodology, 3) free ebook download

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Author(s):	Dan Gabriel Cacuci

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	3031227565
Pages:	381	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	7/6/2023 12:33:30 PM

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This text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The models responses can be either scalar-valued functionals of the models parameters and state variables (as customarily encountered, e.g., in optimization problems) or general function-valued responses, which are often of interest but are currently not amenable to efficient sensitivity analysis. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called curse of dimensionality in sensitivity and uncertainty analysis. The C-ASAM applies to any model  the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The text includes illustrative paradigm problems which are fully worked-out to enable the thorough understanding of the C-ASAMs principles and their practical application. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. It serves as a textbook or as supplementary reading for graduate course on these topics, in academic departments in the natural, biological, and physical sciences and engineering.
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Tags: Adjoint Analysis Comprehensive Curse Dimensionality Methodology nth-Order Overcoming Sensitivity Volume

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The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III: Overcoming the Curse of Dimensionality: Nonlinear Systems (Nth-order ... Adjoint Sensitivity Analysis Methodology, 3) free ebook download

Category: Management

Description: Click to see full description

Category:
Management