• Discretisation method for the population balance is developed Method mass conservative, applicable to arbitrary grid, efficient and accurate Applicable any combination of aggregation, fragmentation, nucleation growth tested with reference solutions Very results are obtained both distribution moments In present paper, we a solving equation (PBE) complete range kinetic processes included: namel...

Population-based Incremental Learning is shown require very sensitive scaling of its learning rate. The learning rate must scale with the system size in a problem-dependent way. This is shown in two problems: the needle-in-a haystack, in which the learning rate must vanish exponentially in the system size, and in a smooth function in which the learning rate must vanish like the square root of t...

Latest research on biological systems is steadily shifting from isolated single cells to entire cell populations. The latter are inherently heterogeneous, and their modeling requires approaches that explicitly account for this property. A comprehensive such approach is the cell population balance (CPB), which, however, is computationally expensive and becomes intractable for multivariable model...

The argument presented in this paper is that one fruitful approach to the study of social network evolution takes the form of examining event sequences as generating mechanisms. Evidence for this comes from two empirical studies of structural balance theory and one simulation study of balance theoretic processes. Four views of causality—system, statistical (predictive), mechanism and algorithmi...

In this paper, we solve numerically a semiconductor device energy balance equation using monotone iterative method. With the proposed solution technique, we prove the solution of ̄nite volume discretized semiconductor device energy balance equation converges monotonically. The method presented here provides an e± cient approach for the numerical solution of energy balance equation in submicron ...