A method is presented, with standard examples, based on an elementary complex integral expression, for developing, in particular, series solutions for second-order linear homogeneous ordinary differential equations. Straightforward to apply, the method reduces the task of finding a series solution to the solution, instead, of a system of simple equations in a single variable. The method elimina...

Altruistic behaviour is disadvantageous for the individual while is advantageous for its group. If the target of the selection is the individual, one would expect the selection process to lead to populations formed by wholly homogeneous groups, made up of either altruistic or egoistic individuals, where the winning choice depends on the balance beetwen group advantage and individual disadvantag...

Abstract Tasman Glacier, a temperate maritime glacier in the New Zealand Southern Alps, is rapidly receding. Climate warming resulting lengthening of ablation season, meaning crevasses accumulation area are becoming exposed at surface for longer. We combine measurements air temperature and wind speed from inside with meteorological data, finding that during summer, in-crevasse frequently positi...

The aim of this work is to improve load balance of the MPI parallel version of the STEM-II air quality model. Several dynamic data distributions are proposed and evaluated on different systems: homogeneous and dedicated, and heterogeneous and/or non-dedicated. Results prove that dynamic distribution strategies perform better than traditional static distributions. Although all the data distribut...

We consider the invariant measure of homogeneous random walks in the quarter-plane. In particular, we consider measures that can be expressed as a finite linear combination of geometric terms and present conditions on the structure of these linear combinations such that the resulting measure may yield an invariant measure of a random walk. We demonstrate that each geometric term must individual...

In this study, we analyzed the relationship between running economy (RE) and biomechanical parameters in a group running at the same relative intensity and same absolute velocity. Sixteen homogeneous male long-distance runners performed a test to determine RE at 4.4 m.s(-1), corresponding to 11.1% below velocity at the ventilatory threshold. We found significant correlations between RE and biom...

Classical homogeneous nucleation theory is extended to nonisothermal conditions through simultaneous cluster mass and energy balances. The transient nucleation of water vapor following a sudden increase in saturation ratio is studied by numerically solving the coupled mass and energy balance equations. The ultimate steady state nucleation rate, considering nonisothermal effects, is found to be ...

Due to the advances in human civilization, problems in science and engineering are becoming more complicated than ever before. To solve these complicated problems, grid computing becomes a popular tool. a grid environment collects, integrates, and uses heterogeneous or homogeneous resources scattered around the globe by a high-speed network. Scheduling problems are at the heart of any Grid-like...

Exact equations are derived that relate velocity structure functions of arbitrary order with other statistics. “Exact” means that no approximation is used except that the Navier-Stokes equation and incompressibility condition are assumed to be accurate. The exact equations are used to determine the structure-function equations of all orders for locally homogeneous but anisotropic turbulence as ...

Grid-GUM is a distributed virtual shared-memory implementation of a high-level parallel language for computational Grids. While the implementation delivers good speedups on multiple homogeneous clusters with low-latency interconnect, on heterogeneous clusters, however, poor load balance limits performance. Here we present new load management mechanisms that combine static and partial dynamic in...