When simulating trajectories by integrating time-continuous car-following models, standard integration schemes such as the forth-order Runge-Kutta method (RK4) are rarely used while the simple Euler’s method is popular among researchers. We compare four explicit methods: Euler’s method, ballistic update, Heun’s method (trapezoidal rule), and the standard forth-order RK4. As performance metrics,...

The wireless sensor network (WSN), once deployed, is usually expected to operate for months even years. In the WSN, each individual sensor node is typically equipped with small batteries which offer only a limited amount of energy. Hence, numerous energy-efficiency schemes have been developed for the WSN, aiming to help the WSN to achieve long lifetime under the stringent constraint of energy s...

We examine some symplectic and multisymplectic methods for the notorious Korteweg–de Vries equation, with the question whether the added structure preservation that these methods offer is key in providing high quality schemes for the long time integration of nonlinear, conservative partial differential equations. Concentrating on 2nd order discretizations, several interesting schemes are constr...

Finite difference discretization schemes preserving a subgroup of the maximal Lie invariance group of the one-dimensional linear heat equation are determined. These invariant schemes are constructed using the invariantization procedure for non-invariant schemes of the heat equation in computational coordinates. We propose a new methodology for handling moving discretization grids which are gene...

abstract background and objective: proficiency testing schemes as a part of quality system in clinical and research laboratory centers provides the opportunity to evaluate the quality of test results. in this paper, we try to introduce the proficiency testing schemes as a useful method for achieving standardization and homogenization of test results in clinical and research laboratory centers. ...

Quality systems established at Union or national level, including farm certification schemes for agricultural and food products, provide consumers with assurances about the quality characteristics of products production process used as a result farmers' participation in these schemes, confer added value to concerned increase their market opportunities.Until June 2022, Romania received, from Eur...

Abstract Many novel chaotic systems have recently been identified and numerically studied. Parametric sets are a valuable tool for determining classifying oscillation regimes observed in nonlinear systems. Thus, efficient algorithms the construction of parametric interest. This paper discusses performance used plotting sets, considering Rossler, Newton-Leipnik Marioka-Shimizu as examples. In th...