Title The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III : Overcoming the Curse of Dimensionality: Nonlinear Systems Author(s) Cacuci, Dan Gabriel Publication Cham, 1. Imprint: Springer 2. Springer International Publishing, 2023. Description XII, 369 p. 148 illus., 20 illus. in color : online resource Abstract Note 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 ISBN,Price 9783031227578 Keyword(s) 1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK - SPRINGER 4. Energy and state 5. Energy policy 6. Energy Policy, Economics and Management 7. ENGINEERING 8. ENGINEERING MATHEMATICS 9. Mathematical and Computational Engineering Applications 10. Mathematical Modeling and Industrial Mathematics 11. MATHEMATICAL MODELS 12. MATHEMATICAL PHYSICS 13. NUCLEAR PHYSICS 14. Statistical Theory and Methods 15. Statistics?? Item Type eBook Multi-Media Links media link description Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I12702     On Shelf