Questions on database implementation model choice for development of digital education systems are discussed. The comparative analysis of relational and graph approaches for main entities data storing. Several advantages of graph model in case of development usability and query efficiency are shown.

Diffusion model is considered to describe coastal depth profile. For model calibration an inverse problem for equation coefficient reconstruction was solved by minimization of a certain misfit functional using an extra boundary conditions. Multy-dimensional optimization was arranged with the help of differential evolution method. Finite elements method was used to calculate model depth profile. The JARKUS dataset was used for testing at different temporal and spatial intervals. Relative error at the level of 5 % was achieved.

The article is devoted to the description of the program system of individual educational trajectory, intended for automation of work with the basic educational program and the appropriate curriculum. The system has implemented a functional for tracking the order of educational courses. This makes it possible, at the stage of forming the basic educational program, to identify the need for a reorganization or merging of disciplines and the attainability of all the assigned competencies. There is an opportunity to build a relationship between the basic educational program and various professional standards. The system implements an algorithm for constructing and evaluating all possible individual educational trajectories of student from a given basic educational program. And the module of the recommendatory system that helps users (students) in the selection of individual educational trajectories.

We present an algorithm for numerical modelling of beam dynamics in supercolliders. When the high-energy beams interact their deformation and disruption are possible and the study of the beam stability is an important problem. We consider the beams motion in self-consistent electromagnetic fields and we take into account the crossing angle of the beams in the fully three-dimensional case. We use particle-in-cell method to solve the problem. The domain and particle parallelization allows performing of the numerical experiments with 10^9 model particles. The results of the simulations and the comparison with the existing analytical solution are presented.

The article is devoted to the development of theoretical base for computer simulation of dielectric logging data with the aim of substantiating new import-substituting equipment for logging oil and gas wells. We have developed algorithms and implemented fast computer programs for the simulation of high-frequency electromagnetic signals within the framework of homogeneously layered models of environment. Based on the results of large-scale simulation of the amplitude-phase characteristics of a high-frequency field, their dependence on the frequency spectrum of electrophysical parameters was established. The carried out research allows executing scientific substantiation and optimal design of a new electromagnetic sounding system.

The implementation of the "model-oriented design" approach for solving the problem of creating process control systems of mining enterprises is presented. The "model-oriented design" approach is to organize a test loop in which the test object functions in an environment identical to the actual process, in terms of input signals. The approach is based on the use of mathematical models that simulate the functioning of the technological process under the control of the process control system. Mathematical models are used to form sets of test data. A simulation software and hardware complex was developed. The main parts of the complex are: SCADA operator workstation, model operator workstation, data transmission layer, physical signal generation unit, physical signal duplication unit and programmable logic controllers of the process control system. As a simulation environment, the MTSS system is used. A variant of the development of the Hardware-in-the-loop method, which provides the creation of compatible components of automation systems, is proposed and implemented. The description of the method of testing the process control system is given. This technique has been successfully applied to the development, debugging and testing of the automated system for monitoring and controlling a technological object in explosion-proof design.

Modern portable devices for electromagnetic profiling and shallow sounding make it possible to study the distribution resistivity of the soil. Typical areas of application of such complexes: research of archaeological objects - burial mounds, ancient settlements; the solution of environmental problems - the study of dumps and tailings of mining enterprises, zones of distribution of harmful substances; localization of engineering facilities - pipes and communications, research of the state of dams and dams. The perspective area is the objects of the agro-industrial complex - assessment of soil fertility (mineralization distribution), control of melioration efficiency. The purpose of the conducted research is the development and creation of a portable software and hardware complex of electromagnetic profiling, which allows to detect and differentiate objects of various kinds with high reliability and accuracy with respect to specific electrical resistance. Based on the original principle of compensation of the primary field of the generator coil, a compact multi-frequency equipment for electromagnetic profiling was developed. As a result of the iterative prototyping cycle, the optimal body design is realized, which allows to realize this compensation principle. To effectively use the hardware complex, QZond software was created, which allows to control the process of collecting information and to visualize the data in real time. The conducted field tests on known objects of the electrometric polygon of IPGG SB RAS, when searching for local and extended conductors, as well as archaeological and geophysical studies show the efficiency of the implementation of compact electromagnetic profiling equipment.

We consider the problem of speeding up numerical calculation of tsunami wave propagation from source to the coast according to the shallow water system by using FPGA (Field Programmable Gates Array) based hardware acceleration. To compute the solution to shallow water system (neglecting external forces), special software architecture has been developed. This is equivalent to the one used in MOST (Method of Splitting Tsunami) software package to simulate wave movement through the given water area. Numerical solution to the shallow water system was done according to Mac-Cormack scheme. Precision of the developed solver was tested against the known exact solution for the case of plane slope bottom. The achieved accuracy is comparable, or even exceeds, the word recognizable software package MOST.

The article is devoted to the analysis of process-oriented control algorithms, on the correspondence to input specifications. Article presents the general scheme of verification of the control algorithm, its implementation in an automated form and the results of practical approbation of the approach in the project for the automation of the Large Solar Vacuum Telescope.

The paper proposes an approach to the development of the composition and structure of an Internet resource, based on the domain ontology. The subject area associated with the spread of ticks and the diseases they transmit is described, its semantic structure is presented, the main sections of the content are highlighted, and ways to navigate the resource are shown.

The article is devoted to implementation of case-based reasoning in web development. Given personal practical experience in this field the author proposes to automate html/css markup building with aggregation of code samples from previous cases, which is very similar to case-based reasoning approach on a methodological level. Namely, the article describes a technique of construction of systems generating html code from a bitmap based on CBR. In particular, an original theory of building an image structure is presented in the article. Besides, the article considers modification of case-based reasoning approach that allows to get the result required. Also the results of practical experiments are described.

The paper for the first time formulates the direct and inverse problems of electrical logging on the determination of the components of the electrical anisotropy tensor of rocks as measured by the complex of lateral logging sounding and lateral logging methods. The features of the finite element approximation of the direct problem using basic functions of large order are considered. The possibility of reconstructing the horizontal and vertical resistivity components, as well as the angle of tilt of the axes of the electrical anisotropy tensor, is investigated.

The article considers a new way of concept extraction from the subject domain texts based on combination of formal concept analysis and bootstrap technology of information retrieval. Formal concept analysis is a powerful way of automatically deriving the domain concepts, but it is designed for high quality input data, without missing and inaccuracies. Obtaining such datasets directly from texts is difficult because of the strong sparsity of the text corpora. Accordingly, it seems promising to improve the quality of input data with bootstrapping, a technology that provides an intelligent search for fragmented information on the Internet. In this paper, we show the steps of implementing the way of automatically concept extraction from medical texts based on the filling of blanks in highly sparse matrices of the joint occurrence of terms. The input data for formal concept analysis is represented in the form of an object-feature table that reflects the distribution of attributes over the objects of the domain. The purpose of this paper is to show that with proper selection of initial search patterns, bootstrapping based on the use of open Internet resources as valuable sources of knowledge, turns into an effective tool for supporting conceptual modeling.

Modeling is an integral part of the study of seismic wave propagation processes in various media. The widely used method of dividing a region into rectangular cells has a drawback: with a complex free surface structure (for example, a mountain), effects arise when a wave is reflected from this surface, due to the fact that the boundary is approximated by a step function for the numerical solving of the problem. In this paper, we propose a different approach to the discretization of the domain: the construction of a curvilinear grid that agrees well with the geometry of the free surface. An algorithm for numerical simulation based on a numerical solution of the linear 2Dsystem of the elasticity, written in displacements, using a curvilinear grid and the stepwise Laguerre method, is proposed. Results of the simulation are presented. Two parallel versions of the algorithm were also implemented, calculations were carried out on different multicore systems (on the classical multiprocessor architecture, as well as on the architecture using the Intel Xeon Phi co-processors - "RSC PetaStream"). Comparison tests of accelerations on different architectures are presented. Also features of the algorithm parallelization are described.