On testing the discrete stochastic pedestrian dynamics model SIgMA.CA in different spatial situations
Page:279-289
Headings of the journal
"Educational Resources and Technologies"
Educational environmentMethods and technologies of training and educationInformation technologyMathematical cyberneticsMethodological researchManagement in social and economic systemsApplied GeoinformaticsEducation for sustainable developmentAll rubrics
All rubrics
Release: 2014-1 (4)
Keywords: people movement, mathematical model, fundamental diagram
Annotation: This paper deals with investigation of discrete stochastic pedestrian dynamics model SIg-MA.CA. Variety of case studies when basic people movement phenomena realize were considered. Fundamental diagrams (specific flow versus people density) for some cases are presented.
Using the cluster computing systems and space monitoring data for forest fires modeling
Page:289-295
Release: 2014-1 (4)
Keywords: forest fires, mathematical modeling, cluster computing systems
Annotation: The problem of the forest fires mathematical models creating on basis of Navier-Stokes equations with using the cluster computing systems and space monitoring data is discussed. The efficiently of the modeling algorithms is examines. The samples of the forest fire dynamics calculation are given.
Approximation of wavelet operator by its hyperfinite analogy
Page:296-302
Release: 2014-1 (4)
Keywords: wavelet operator , tabular approximation, hyperfinite operator
Annotation: The article deals with the problem of approximation of wavelet operator by its hyperfinite analogy. This problem is studied by the method of the non-standard analysis. It is proved that the hyperfinite wavelet operator is a bounded operator, its norm is less ore equal to 1 and this operator approximates the continuous wavelet operator.
The Markov model of the process of formation of the blood group of a child in the system AB0
Page:302-312
Release: 2014-1 (4)
Keywords: Markov model, A and B antigens, parents’ blood groups combinations, final probability, time of formation, dispersion, average value
Annotation: The article shows the use of the mathematical model in the form of Markov chains to analyze the process of formation of the blood group of a child in the system AB0. Probabilistic dependencies of the final probabilities and time of formation of blood groups on the activity of the antigens A and B are given.