In engineering applications, we need to make decisions under uncertainty. Traditionally, in engineering, statistical methods
are used, methods assuming that we know the probability distribution of different uncertain parameters. Usually, we can safely
linearize the dependence of the desired quantities
y (e.g., stress at different structural points) on the uncertain parameters
x
i–thus enabling sensitivity analysis. Often, the number
n of uncertain parameters is huge, so sensitivity analysis leads to a lot of computation time. To speed up the processing,
we propose to use special Monte-Carlo-type simulations.