For over 30 years, the Implicit Monte Carlo (IMC) method has been used to
solve challenging problems in thermal radiative transfer. These problems are typically optically thick and di ffusive, as a consequence of the high degree of "pseudo-scattering" introduced to model the absorption and reemission of photons from a...
Two new concepts have been explored in solving the neutron
diffusion equation in one and two dimensions. At the present time,
the diffusion equation is solved using source iterations. These
iterations are performed in a mathematical form which has a great
deal of physical significance. Specifically, the neutron production
The solution of coupled neutronic/thermal hydraulic nuclear reactor calculations
requires the treatment of the nonlinear feedback induced by the thermal hydraulic
dependence of the neutron cross sections. As a result of these nonlinearities, current
solution techniques often diverge during the iteration process. These instabilities arise
due to the low level...
Statisticians often focus on sampling or experimental design and data analysis while
paying less attention to how the response is measured. However, the ideas of statistics may be
applied to measurement problems with fruitful results. By examining the errors of measured
responses, we may gain insight into the limitations of...
Wavelet analysis is an analytical and modeling tool for optimizing sampling efficiency and accuracy, particularly in the context of designing long-term, large-scale monitoring plans. As a pattern analysis method that accommodates and preserves non-stationarity, wavelet analysis provides novel visualization and analytical capabilities for increased insight into interactions between multi-scalar heterogeneous...
In regression analysis, random errors in an explanatory variable cause the
usual estimates of its regression coefficient to be biased. Although this problem has
been studied for many years, routine methods have not emerged. This thesis
investigates some aspects of this problem in the setting of analysis of epidemiological
The purpose of the study was to investigate students' learning of the function concept and the role of the graphing calculator in a College Algebra course. Differences between students with high symbolic manipulation skills. and students with low symbolic manipulation skills were also examined. On the basis of an algebraic...
In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface boundary.
The heterogeneous domain decomposition method is formulated following the Dirichlet-Neumann method. Both an implicit scheme and an...
Mass transfer processes in food systems, such as solute infusion, are poorly understood
because of their complex nature. Food systems contain porous matrices and a variety of
continuous phases within cellular tissues. Mass transfer processes are generally not pure
diffusion: often convection, binding and obstructing diffusion will occur. Monte Carlo...