Abstract:

An ontological design approach was used to describe the semantics of some boundary value problems in the LibMeta digital library. To describe problems in the LibMeta library, connections of terms and concepts with classical definitions of the mathematical encyclopedia and other primary sources have been established. Establishing links allows you to form a dictionary and thesaurus of the applied subject area of new boundary value problems and place the results in the semantic environment of the digital library. Examples of this approach are demonstrated using the capabilities of the LibMeta semantic library, which contains a digitized version of the mathematical encyclopedia, encyclopedia of mathematical physics, classifiers, and applied mathematical thesauri and dictionaries. New terms from publications, after being added to the content of the library, were reflected with links in the mathematical encyclopedia. The thesaurus for problems in the elasticity theory domain was created for the first time by integrating subject dictionaries, classifiers, metadata of specialized journal publications and encyclopedic content of the LibMeta library. The purpose of such research is to provide the user with additional services in the search for publications in the applied scientific field.

Abstract: The stability problem is considered in terms of the classical Lyapunov definition. For this, a set of initial conditions is set, consisting of their preliminary calculations, and the spread of the trajectories obtained as a result of numerical simulation is analyzed. This procedure is implemented as a series of ensemble experiments with a joint MPI-ESM model of the Institute of Meteorology M. Planck (Germany). For numerical modeling, a series of different initial values of the characteristic fields was specified and the model was integrated, starting from each of these fields for different time periods. Extreme ocean level characteristics over a period of 30 years were studied. The statistical distribution was built, the parameters of this distribution were estimated, and the statistical forecast for 5 years in advance was studied. It is shown that the statistical forecast of the level corresponds to the calculated forecast obtained by the model. The localization of extreme level values was studied and an analysis of these results was carried out. Numerical calculations were performed on the Lomonosov-2 supercomputer of Lomonosov Moscow State University.

Abstract:

The work is devoted to the problem of customizing the user interfaces of an information system that integrates data. An adaptive interface serves as one of the means of organizing the presentation of subject domain data. The issue of using the semantic relations of ontology to select data corresponding to the objectives of the study is investigated. A model of an adaptive interface is considered, which allows the most accurate reflection of the needs of a researcher within a particular subject domain. It is shown how the adaptive interface is formed by means of the semantic library model.

Abstract:

To analyze heat fluxes, observational data for 1979-2018 were used for the North Atlantic. The spatiotemporal variability of the total heat flux was modeled by a stochastic diffusion process. The coefficients of the stochastic differential equation were estimated by using nonparametric statistics. Previously, the existence and uniqueness of a solution in the strong sense of the stochastic differential equation generated by the constructed diffusion process was proven when Kolmogorov's conditions were met. In this work, the coefficients of the equation were approximated in time by trigonometric polynomials, the amplitudes and phases of which depended on the flow values. Using a given series of 40 years in length from 1979 to 2018, spatial maps and time curves were constructed. The results are shown for 1999 and 2018, and their comparative analysis is also carried out. Numerical calculations were realized on the Lomonosov-2 supercomputer of the Lomonosov Moscow State University.

Abstract:

The observational data for 1979-2018 in the North Atlantic region are analyzed. These data were obtained as a result of the implementation of the project of the Russian Academy of Sciences for the study of the atmosphere in the North Atlantic (RAS-NAAD). The dataset provides many surface and free atmosphere parameters based on the sigma model and meets the many requirements of meteorologists, climatologists and oceanographers working in both research and operational fields. The paper analyzes the seasonal and long-term variability of the field of heat fluxes and water surface temperature in the North Atlantic. Schemes for analyzing diffusion processes were used as the main research method. Based on the given series of 40 years in length from 1979 to 2018, such parameters of diffusion processes as the mean (process drift) and variance (process diffusion) were calculated and their maps and time curves were constructed. Numerical calculations realized on the Lomonosov-2 supercomputer of the Lomonosov Moscow State University.

Abstract:

The problem of presenting scientific results of academic institute in a digital environment is considered. A new look at the knowledge space of a scientific institute constitutes a natural stage in the development of WEB technologies. The data structure inherent in previous studies allows you to organize search and navigation through them using a knowledge graph, like a version of the semantic library LibMeta. The knowledge graph gives a more complete and high-quality idea of the knowledge space, often removing the cognitive load in the perception of complex structures and data connections.

Abstract:

The results of studies of atmospheric pressure in the Arctic region of Russia in the period from 1948 to 2008 are presented. The analysis of the climatic seasonal variation of the atmospheric pressure fields is carried out. As the main research method, the probabilistic and statistical analysis of the time series of the pressure field 60 years long at fixed points in the region of the Arctic zone of Russia was used. In total, about 90,000 daily (in six-hour increments) pressure values were examined. On the basis of these data, a climatic seasonal variation was constructed as an averaging of the values of a given time series at each point in space and for a fixed date. The characteristics of the seasonal course, its amplitude and phase have been studied. These characteristics were analyzed and their geophysical interpretation was carried out. In particular, the minimum and maximum values ​​of the series were determined for the entire region and the time series of these characteristics were constructed. It is shown that the deviation is asymmetric, this is an unobvious research result. For the maximum and minimum, the best approximations were constructed, and these approximations were tested by known methods of statistical analysis, including maximum likelihood, least squares and goodness of fit methods (tests), in particular, the χ²-criterion. The conducted research has applications both purely physical (allows to explain the nature, genesis and distribution of large-scale atmospheric formations in a climatic year) and prognostic (allows understanding and tracking trends in climate, as well as quantitatively assessing the scale and variability of large-scale atmospheric processes). Numerical calculations were performed on the Lomonosov-2 supercomputer of the Lomonosov Moscow State University.

Abstract: Possibilities of query expansion with subject area thesaurus are discussed. The role of the context defined by thesaurus term links is both to refine the query and to increase the size of the sample on the query. Of particular importance is the process of expanding the query for scientific subject areas where the search based on special terminology. In this case, thesauruses of subject areas must be used to minimize the occurrence of information noise. The proposed approach takes into account the application of similar terminology in various subject areas. Examples of the use of thesaurus of separate sections of equations of mathematical physics and related fields demonstrate the effectiveness of the chosen approach of research. By linking to concepts of information resources of other areas of knowledge, the extension of the information query captures search fields of remote subject areas and various types of data, texts, symbolic, audio and video archives. Research shows that expanding the query based on context semantics improves the search quality of scientific publications in digital information and increases the effectiveness of scientific interdisciplinary research.

Abstract:

The problem of finding the most relevant documents as a result of an extended and refined query is considered. For this, a search model and a text preprocessing mechanism are proposed, as well as the joint use of a search engine and a neural network model built on the basis of an index using word2vec algorithms to generate an extended query with synonyms and refine search results based on a selection of similar documents in a digital semantic library. The paper investigates the construction of a vector representation of documents based on paragraphs in relation to the data array of the digital semantic library LibMeta. Each piece of text is labeled. Both the whole document and its separate parts can be marked. The problem of enriching user queries with synonyms was solved, then when building a search model together with word2vec algorithms, an approach of "indexing first, then training" was used to cover more information and give more accurate search results. The model was trained on the basis of the library's mathematical content. Examples of training, extended query and search quality assessment using training and synonyms are given.

Abstract:

The peculiarities of the task of authors identifying and determining author's contribution to publications in digital bibliographic codes are considered. The features of the problem of insufficient identification are manifested in the repetition of information, doubling, the presence of authors with completely coincidental names, self-quotation, autoplagiate and plagiarism itself. It is proposed to use publication information that has already been accumulated in the digital library in the form of related object area data and a variety of target thesaurus data, as the author and user of the library. This information contains links whereby keyword contexts, multiple co-authors, and term associations in dictionaries and thesauruses can be used to identify authorship. It is important that an array of scientific publications is considered, since they have an established traditional structure, which allows comparing fixed text elements (annotations, keywords, classifier codes, etc.). Thus, even if the names in the publications are fully matched, the question of authorship can be raised if the publications in the digital library correspond to different subject areas. Resolution of such contradictions is accomplished by evaluating a plurality of links of all elements of secondary publication information. The result of the comparison could be the addition of the author to a specific area, i.e. the extension of the addressee's thesaurus and the author's personal thesaurus, or the appearance of full namesakes in the library, but from different areas of knowledge. It has been shown that modern data analysis tools allow you to evaluate the author's contribution to publication, despite the fact that of course, only the scientific community can evaluate the real contribution to scientific research.

Abstract:

Observational data from the North Atlantic over 40 years of the NAAD project were analyzed. The total heat flux from the ocean to the atmosphere (and from the atmosphere to the ocean) was considered as the sum of latent and sensible heat. The coefficients of the stochastic differential equation representing the stochastic process were statistically determined from the original data set. Previously, the existence and uniqueness of a solution in the strong sense of the stochastic differential equation generated by the constructed diffusion process was proven when Kolmogorov's conditions were met. Numerical calculations on the Lomonosov-2 supercomputer at Moscow State University. M.V. Lomonosov.

Abstract: The problem of representation of mathematical subject domains in digital libraries and usefulness of these resources for experts is discussed. The option of representation of mathematical subject domains on the Internet is given. As information model for unit of record article of the thesaurus is chosen. Implementation of the scheme is shown on the example of the partial differential equations. Approach to the organization of information space of the author is offered, using the thesaurus by the addressee. On the basis of descriptions of subject domains of individuals creation of ontology of scientific cross-disciplinary community is supposed what, according to authors, will allow not to lose new result or opening in science, to observe priorities of authors, to build in new knowledge the settled system of classical subject domains.

Abstract:

The paper analyzes the statistical and temporal seasonal and decadal variability of the atmospheric pressure field in the Arctic region of Russia. Schemes for the frequency analysis of probability transitions for characteristics of stochastic-diffusion processes were used as the main research method. On the basis of the given series of 60 years long from 1948 to 2008, such parameters of diffusion processes as the mean (drift process) and variance (diffusion process) were calculated and their maps and time curves were constructed. The seasonal and long-term variability of calculated fields was studied as well as their dependencies on a discretization of the frequency intervals. These characteristics were analyzed and their geophysical interpretation was carried out. In particular, the known cycles of solar activity in 11 and 22 years were revealed. Numerical calculations were performed on the Lomonosov-2 supercomputer of the Lomonosov Moscow State University.