Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): I. Mathematical Framework — Oak Academic Publishing
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Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): I. Mathematical Framework
Center for Nuclear Science and Energy, University of South Carolina, Columbia, SC, USA
1 Center for Nuclear Science and Energy, University of South Carolina, Columbia, SC, USA
This work presents the mathematical framework of the “Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5 th -CASAM-N),” which generalizes and extends all of the previous works performed to date on this subject. The 5 th -CASAM-N enables the exact and efficient computation of all sensitivities , up to and including fifth-order , of model responses to uncertain model parameters and uncertain boundaries of the system’s domain of definition, thus enabling, inter alia, the quantification of uncertainties stemming from manufacturing tolerances. The 5 th -CASAM-N provides a fundamental step towards overcoming the curse of dimensionality in sensitivity and uncertainty analysis.
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