Results 1 to 10 of about 59 (55)

Fourth-Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: I. Computed Sensitivities

Journal of Nuclear Engineering, 2021
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 physics benchmark.
Ruixian Fang, Dan Gabriel Cacuci
doaj   +3 more sources

Fourth-Order Comprehensive Adjoint Sensitivity Analysis (4th-CASAM) of Response-Coupled Linear Forward/Adjoint Systems: I. Theoretical Framework

Energies, 2021
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 functions that describe the respective system.
Dan Gabriel Cacuci
doaj   +3 more sources

Towards Overcoming the Curse of Dimensionality: The Third-Order Adjoint Method for Sensitivity Analysis of Response-Coupled Linear Forward/Adjoint Systems, with Applications to Uncertainty Quantification and Predictive Modeling

Energies, 2019
This work presents the Third-Order Adjoint Sensitivity Analysis Methodology (3rd-ASAM) for response-coupled forward and adjoint linear systems.
Dan Gabriel Cacuci
doaj   +3 more sources

TOWARDS OVERCOMING THE CURSE OF DIMENSIONALITY IN PREDICTIVE MODELLING AND UNCERTAINTY QUANTIFICATION [PDF]

EPJ Web of Conferences, 2021
This invited presentation summarizes new methodologies developed by the author for performing high-order sensitivity analysis, uncertainty quantification and predictive modeling.
Cacuci Dan G.
doaj   +3 more sources

High-Order Deterministic Sensitivity Analysis and Uncertainty Quantification: Review and New Developments

Energies, 2021
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 responses by uncertainties in the model parameters.
Dan Gabriel Cacuci
doaj   +1 more source

Illustrative Application of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems to the Nordheim–Fuchs Reactor Dynamics/Safety Model

Journal of Nuclear Engineering, 2022
The application of the recently developed “nth-order comprehensive sensitivity analysis methodology for nonlinear systems” (abbreviated as “nth-CASAM-N”) has been previously illustrated on paradigm nonlinear space-dependent problems.
Dan Gabriel Cacuci
doaj   +1 more source

Generalized neural closure models with interpretability. [PDF]

Sci Rep, 2023
Gupta A, Lermusiaux PFJ.
europepmc   +1 more source

Photolithographic realization of target nanostructures in 3D space by inverse design of phase modulation. [PDF]

Sci Adv, 2022
Nam SH, Kim M, Kim N, Cho D, Choi M, Park JH, Shin J, Jeon S.   +7 more
europepmc   +1 more source

Differential methods for assessing sensitivity in biological models. [PDF]

PLoS Comput Biol, 2022
Mester R, Landeros A, Rackauckas C, Lange K.   +3 more
europepmc   +1 more source

Modeling the competitive transmission of the Omicron strain and Delta strain of COVID-19. [PDF]

J Math Anal Appl, 2023
Guo Y, Li T.
europepmc   +1 more source