Autor: |
Dan Gabriel Cacuci |
Jazyk: |
angličtina |
Rok vydání: |
2022 |
Předmět: |
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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 |
Externí odkaz: |
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