The architecture and a set of components of the software tool providing the development of agent-based simulation models (ABSMs) specifications are considered in the paper. The underlying of the proposed tool is the a...
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The paper presents a problem formulation for the development of a theoretical and software framework for creating systems of data extraction from arbitrary spreadsheet tables. The problem covers the tasks of the autom...
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The paper is concerned with the workflow component of the knowledge-based systems development platform. The proposed workflow component supports the creation process of the platform composite operations. These operati...
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We consider the linear stationary systems of ordinary differential equations (ODEs) that are unsolvedwith respect to the derivative of the unknown vector-function and degenerate identically in the domain of definition...
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The paper is devoted to the study of a singular nonlinear second-order parabolic equation, which is called the porous medium equation or the nonlinear heat equation. One of the important classes of its solutions is he...
The paper is devoted to the study of a singular nonlinear second-order parabolic equation, which is called the porous medium equation or the nonlinear heat equation. One of the important classes of its solutions is heat waves propagating over a zero background with a finite velocity. This property is not typical for parabolic equations and is a consequence of singularity. The main object of study is exact solutions of mentioned type. A new way of separating variables is used to represent them. We obtain conditions when it is possible to make a reduction to the Cauchy problem for an ordinary second-order differential equation with a singularity. It is shown that the Cauchy problem describes a heat wave whose front moves exponentially. We construct a solution to the Cauchy problem as a power series and determine the cases when the series breaks off, i.e. the solution has the form of a polynomial, and the corresponding heat wave can be written explicitly. If the Cauchy problem cannot be explicitly integrated, the solution is constructed numerically. An algorithm based on the boundary element method is proposed. We perform a computational experiment and conclude the properties of the found solutions. Besides, the accuracy of the calculation results is analyzed.
Under consideration is some system of ordinary differential equations with power nonlinearities. These systems are widely used in mathematical biology and chemical kinetics, and can also occur by reduction of more sop...
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We consider the approach to development of AIS (automated information system) using declarative specifications of database applications (SDA). The specifications of database applications contain all the information ab...
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A system of nonlinear parabolic differential equations is being studied, considered as a distributed mathematical model of the process of examining three-dimensional space by interacting robots of two types. Parametri...
A system of nonlinear parabolic differential equations is being studied, considered as a distributed mathematical model of the process of examining three-dimensional space by interacting robots of two types. Parametric families of exact solutions have been built that can be used to form the control of the survey process by creating the necessary densities at the border of the area that is the base for robots.
In this paper, we develop new methods of local and global search for finding optimistic solutions to the hierarchical problem of optimal pricing in telecommunication networks. These methods are based on the fact that ...
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We test a novel idea of using a π- beam in the fixed-target experiments to search for New Physics in the events with missing energy. Bounds for invisible vector ρ meson decay were derived, analyzed, and compared wit...
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