In this compilation, the authors first consider applying the Monte
Carlo method to the general form of the heat equation that is used
for analyzing conduction heat transfer. The Monte Carlo method is
then extended to some convection heat transfer applications by
representing the probabilistic interpretation of the energy
equation to obtain the temperature profile. Following this, Monte
Carlo Methods: History and Applications discusses the Monte Carlo
methods needed for the estimation of the mean glandular dose in
both digital mammography and digital breast tomosynthesis. Various
breast anatomies are considered. The gradual development of the
Monte Carlo method for solving problems of mathematical chemistry
is considered. A comparison of various quantitative structure --
property/activity relationships based on the Monte Carlo method is
also presented. Lastly, the Monte Carlo technique is used to
characterize the statistical distributions of received measurements
in an electric energy power system, as well as to quantify the
correlations among these variables. To check the numerical accuracy
of the results, the point estimate algorithm is employed.
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