We consider some reaction-diffusion equations perturbed by white noise and prove Schauder estimates for the elliptic problem associated with the generator of the corresponding transition semigroup, defined in the Banach space of continuous functions. This requires the proof of some new interpolation result. 2000 Mathematics Subject Classification AMS: 35R15, 60H15, 35B45

Renewable energies are the best solutions to reduce CO2 emissions and supply reliable electricity. This study aims find combination of various components considering economic, environmental, technical factors together. The most important consideration limitation using PV panels due land constraints applying penalties where diesel generators grid generating Findings show that providing electrici...

We show that for almost all choices of parameters, the elliptic subset sum pseudorandom number generator produces a sequence of uniformly distributed pseudorandom numbers. The result is useful for both cryptographic and Quasi Monte Carlo applications and relies on bounds of exponential sums.

A multigrid approach using conditional coarsening in constructing solvers for non-elliptic equations on a rectangular grid is presented. Such an approach permits the achievement of a full multigrid efficiency even in the case where the equation characteristics do not align with the grid. The 2D sonic-flow equation linearized over a constant velocity field has been chosen as the model problem. A...

A generator-based design and validation methodology for rapid prototyping of elliptic curve public-key cryptosystem hardware is described. By their very nature, crypto systems challenge both design and validation. Pure RTL-based synthesis is as unsuitable as is high-level synthesis. Instead, a generator program accepts the two main parameters, key size and multiplier radix, and creates a highly...

Optimal placement of scattered generator sources in the main and secondary feeders of radial grid reduces energy losses, releases the capacity of existing feeders and improves the existing voltage profile. In this project determine the location and suitable for the production of production resources S cattered in radial feeders of unbalanced distribution networks, a new formulation solution is ...

In this paper, we prove a Donker theorem for one-dimensional processes generated by an operator with measurable coefficients. We construct a random walk on any grid on the state space, using the transition probabilities of the approximated process, and the conditional average times it spends on each cell of the grid. Indeed we can compute these quantities by solving some suitable elliptic PDE p...

This article presents an approach to modelling of threephase photovoltaic (PV) inverters for RMS-based grid integration studies under balanced and unbalanced conditions. The inverter model was rigorously derived from accurate instantaneous value models that were simultaneously used for the development of inverter control and operations software. This approach leads to a precise generic phasor m...

In large-scale scientific simulations, we sometimes have access to supercomputers and largescale cluster systems of appropriate computer centers at remote sites as a way of obtaining large scale computer resources. In this case, some difficulties in using such resources due to differences in rules and job execution at each computer center have been found. Differences among remote sites to be ac...