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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III
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The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III
Dan Gabriel Cacuci (Gebundene Ausgabe, Englisch)
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Beschreibung
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 model’s responses can be either scalar-valued functionals of the model’s 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-ASAM’s 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. This Volume Three, the third of three, covers systems that are nonlinear in the state variables, model parameters and associated responses. The selected illustrative paradigm problems share these general characteristics. A separate Volume One covers systems that are linear in the state variables. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
12.04.2023
Sprache
Englisch
EAN
9783031227561
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Dan Gabriel Cacuci
Seitenanzahl
369
Auflage
1
Einbandart
Gebundene Ausgabe
Buch Untertitel
Overcoming the Curse of Dimensionality: Nonlinear Systems
Schlagwörter
nonlinear finite-dimensional systems, nonlinear infinite-dimensional systems, nonlinear eigenvalue diffusion equation, Bernoulli's equation, nonlinear heat conduction, exact first-order response sensitivities, exact second-order sensitivities, exact third-order sensitivities, exact fourth-order sensitivities, exact Nth-order sensitivities, curse of dimensionality, sensitivity analysis for nonlinear systems, uncertainty analysis for nonlinear systems
Thema-Inhalt
PHU - Mathematische Physik
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PBT - Wahrscheinlichkeitsrechnung und Statistik
RN - Umwelt
PHM - Atom- und Molekularphysik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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