The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (nth-CASAM-N): Mathematical Framework

Autor:	Dan Gabriel Cacuci
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	large-scale nonlinear models high-order sensitivities adjoint operators curse of dimensionality Nuclear engineering. Atomic power TK9001-9401
Zdroj:	Journal of Nuclear Engineering, Vol 3, Iss 3, Pp 163-190 (2022)
Druh dokumentu:	article
ISSN:	2673-4362
DOI:	10.3390/jne3030010
Popis:	This work presents the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (nth-CASAM-N), which enables the most efficient computation of exactly determined expressions of arbitrarily high-order sensitivities of generic nonlinear system responses with respect to model parameters, uncertain boundaries, and internal interfaces in the model’s phase space. The mathematical framework underlying the nth-CASAM-N is proven to be correct by using mathematical induction. The nth-CASAM-N is formulated in linearly increasing higher-dimensional Hilbert spaces—as opposed to exponentially increasing parameter-dimensional spaces—thus overcoming the curse of dimensionality in sensitivity analysis of nonlinear systems.
Databáze:	Directory of Open Access Journals
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