It is shown that, when using this definition, the stochastic response of non-classically damped systems involves the evaluation of quantities similar to those of classically damped ones.
Our numerical method is particularly useful for magnetic confinement fusion simulations, since it allows the evaluation of quantities such as the magnetic field, the parallel current density and the magnetic curvature with much higher accuracy than has been previously feasible on the affordable coarse grids that are usually implemented.
The expected accuracy in the evaluation of energy quantities has been evaluated using the unfolding code FRUIT.
Numerous fatigue criteria require the evaluation of critical quantities to estimate fatigue damage.
As follows, the evaluation of these quantities can be implemented by hand calculations without the need to perform any structural analysis.
This facilitates the single-shot based evaluation of important quantities for reacting flows, e.g., the density weighted rate-of-strain tensor.
As a powerful toolbox for signal processing, the LSD is also an open source software package and meets the high demand of easy, accurate and precise evaluation of various quantities of Lévy stable distributions.
When this system of equations is integrated numerically with respect to time, the explicit evaluation of coupled quantities necessitates strong time step restrictions, resulting in an enormous slowdown of the calculation.
Studying stress concentration and stress intensity factors (SIFs), being of importance for multiple scientific and engineering applications, we focus on developing an efficient means for accurate, robust and stable evaluation of these quantities.
Decision-making in primates relies on skills requiring them to take into account several factors involving evaluation of discrete quantities, physical or temporal cost, and partner's reliability to maximize their pay-offs.
This implies that erroneous estimates might occur in evaluation of some quantities by a panel of experts even when a convergence of opinion is observed.
