130 citations · 822 across the 28 of their papers we have counts for
28 papers
Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps
Igor Omelyan, Yuri Kozitsky, Krzysztof Pilorz
An algorithm is proposed for finding numerical solutions of a kinetic equation that describes an infinite system of point articles placed in . The particle…
Jumps and Coalescence in the Continuum: a Numerical Study
Kozitsky Yuri, Omelyan Igor, Pilorz Krzysztof
The dynamics is studied of an infinite continuum system of jumping and coalescing point particles. In the course of jumps, the particles repel each other whereas their coalescence…
Enhanced solvation force extrapolation for speeding up molecular dynamics simulations of complex biochemical liquids
Igor Omelyan, Andriy Kovalenko
We propose an enhanced approach to the extrapolation of mean potential forces acting on atoms of solute macromolecules due to their interactions with solvent atoms in complex bioch…
Spatial population dynamics: beyond the Kirkwood superposition approximation by advancing to the Fisher-Kopeliovich ansatz
Igor Omelyan
The superior Fisher-Kopeliovich closure is applied to the hierarchy of master equations for spatial moments of population dynamics for the first time. As a consequence, the populat…
Spatially inhomogeneous population dynamics: beyond the mean field approximation
Igor Omelyan, Yuri Kozitsky
We propose a novel method for numerical modeling of spatially inhomogeneous moment dynamics of populations with nonlocal dispersal and competition in continuous space. It is based…
Consistent description of kinetics and hydrodynamics of weakly nonequilibrium processes in simple liquids
B. Markiv, I. Omelyan, M. Tokarchuk
The generalized transport equations for a consistent description of kinetic and hydrodynamic processes in dense gases and liquids are considered. The inner structure of the general…