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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, Dan Gabriel Cacuci Nov 2019

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, Dan Gabriel Cacuci

Faculty Publications

This work presents the Third-Order Adjoint Sensitivity Analysis Methodology (3rd-ASAM) for response-coupled forward and adjoint linear systems. The 3rd-ASAM enables the efficient computation of the exact expressions of the 3rd-order functional derivatives ("sensitivities") of a general system response, which depends on both the forward and adjoint state functions, with respect to all of the parameters underlying the respective forward and adjoint systems. Such responses are often encountered when representing mathematically detector responses and reaction rates in reactor physics problems. The 3rd-ASAM extends the 2nd-ASAM in the quest to overcome the "curse of dimensionality" in sensitivity analysis, uncertainty quantification and predictive …


Vietnamese Family Caregivers’ Adjustment Process To Their Caregiving Roles For Family Members With Dementia, Trang Nguyen Apr 2019

Vietnamese Family Caregivers’ Adjustment Process To Their Caregiving Roles For Family Members With Dementia, Trang Nguyen

Theses and Dissertations

This study explores the psychological process that Vietnamese family members go through to adjust to the caregiving role for their relatives with dementia. Adopting constructivist grounded theory, 30 face-to-face, semi-structured interviews, including 10 follow-up interviews, were conducted with 20 Vietnamese primary family caregivers of relatives with dementia from the National Geriatric Hospital in Vietnam. The study results reveal that Vietnamese family caregivers held limited understanding of dementia. They used a mixed explanatory model, combining both folk (e.g., dementia as normal aging) and biomedical approaches (e.g., dementia as a brain-related disease) to explain causes of dementia. Family cohesion and responsibility are …