The mathematical/computational model of a physical system comprises parameters and
independent and dependent variables. Since the physical system is seldom known precisely …

The mathematical framework of the “nth-Order Comprehensive Adjoint Sensitivity Analysis
Methodology for Linear Systems”(nth-CASAM-L) was presented in Volume 1 of this …

This work reviews the state-of-the-art methodologies for the deterministic sensitivity analysis
of nonlinear systems and deterministic quantification of uncertainties induced in model …

Since linear operators admit bona fide adjoint operators, responses of models that are linear
in the state functions (ie, dependent variables) can depend simultaneously on both the …

This work presents the results of the exact computation of (180) 3= 5,832,000 third-order
mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) …

This work extends the investigation of higher-order sensitivity and uncertainty analysis from
3rd-order to 4th-order for a polyethylene-reflected plutonium (PERP) OECD/NEA reactor …

This work extends to third-order previously published work on developing the adjoint
sensitivity and uncertainty analysis of the numerical model of a polyethylene-reflected …

The most general quantities of interest (called “responses”) produced by the computational
model of a linear physical system can depend on both the forward and adjoint state …

This work quantifies the impact of the most important 4th-order sensitivities of the leakage
response of a polyethylene-reflected plutonium (PERP) reactor physics benchmark with …

This work extends to fourth-order previously published work on developing the adjoint
sensitivity and uncertainty analysis of the numerical model of a polyethylene-reflected …