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DOAJ Open Access 2022

The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (n<sup>th</sup>-CASAM-N): Mathematical Framework

Dan Gabriel Cacuci
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Abstrak

This work presents the n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (n<sup>th</sup>-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 n<sup>th</sup>-CASAM-N is proven to be correct by using mathematical induction. The n<sup>th</sup>-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.

Topik & Kata Kunci

Nuclear engineering. Atomic power

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D

Dan Gabriel Cacuci

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APA MLA BibTeX
Cacuci, D.G. (2022). The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (n<sup>th</sup>-CASAM-N): Mathematical Framework. https://doi.org/10.3390/jne3030010

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Informasi Jurnal
Tahun Terbit
2022
Sumber Database
DOAJ
DOI
10.3390/jne3030010
Akses
Open Access ✓