Project:kinetic

Symbolic-numeric approach for the investigation of kinetic models

Our group has been investigating kinetic models for quite a long time. The structure of classical kinetic models is described by rather simple assumptions about the interaction of …

ekaterina-a.-demidova

Implementation of an analytical-numerical approach to stochastization of one-step processes in the Julia programming language

In this paper, we use the method of stochastization of one-step processes to demonstrate the advantages of a stochastic representation of the system. To achieve this goal, the …

arseny-vitalievich-fedorov

Application of a numerical-analytical approach in the process of modeling differential equations in the Julia language

It is known that modeling consists of a few stages. Analytic calculations are made first and afterwards, they are converted into numerical ones. It is a fairly complicated task, …

arseny-vitalievich-fedorov

One-step Stochastization Methods for Open Systems

In this paper, two approaches (combinatorial and operatorial) to the stochastization of the one-step processes are discussed for the closed and open version of the Lotka–Volterra …

anna-vladislavovna-korolkova

Diagram Representation for the Operator Approach of One-Step Processes Stochastization

By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …

ekaterina-gennadyevna-eferina

Stochastization Of One-Step Processes In The Occupations Number Representation

By the means of the method of stochastization of onestep processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …

anna-vladislavovna-korolkova

Operator Approach to the Master Equation for the One-Step Process

Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …

michal-hnatic

Operator Approach to the Master Equation for the One-Step Process

Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …

michal-hnatic

Diagram Representation for the Stochastization of Single-Step Processes

Background. By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these …

ekaterina-gennadyevna-eferina

Quantum Field Theory Approach to the Analysis of One-Step Models

During development of methods for stochastization of one-step processes the attention was focused on obtaining the stochastic equations in the form of the Langevin, since this form …

ekaterina-gennadyevna-eferina