The available numerical algorithms for trend removal require a direct subjective intervention
in choosing critical parameters. In this paper an algorithm is presented, which needs no …

Using a different method, the balance equations of mass, momentum, and kinetic energy are
derived for an arbitrary one-dimensional system of inelastic particles from its kinematic …

It was proved that balance equations for systems with corpuscular structure can be derived if
a kinematic description by piece-wise analytic functions is available (Vamoş et al., Physica A …

Reactive transport in saturated/unsaturated porous media is numerically upscaled to the
space–time scale of a hypothetical measurement through coarse-grained space–time …

In this paper we describe a numerical method of cellular automaton type to study the
diffusion processes. The macroscopic diffusive behavior of a set of microscopic particles is …

Abstract The Global Random Walk algorithm (GRW) performs the simultaneous tracking on
a fixed grid of large collections of particles, while the computational costs remain …

In this chapter, relations between model, scale, and measurement will be discussed. A
particular attention will be paid to the perspective of using spatio-temporal upscaling to bring …

It was proved that balance equations for systems with corpuscular structure can be derived if
a kinematic description by piece-wise analytic functions is available [4]. This article presents …

Smooth concentration fields and balance equations for systems of random walkers are
obtained by using the coarsegrained space‐time averaging method from] 5 [and averages …

Long-term threats to groundwater quality arising at regional scale from the exploitation of
deep groundwaters, and some ways to tackle with them have been revealed by Seiler …