Descriptions of Some Boundary-Value Problems in the Semantic Library LibMeta

Abstract

An ontological approach to 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 from the mathematical encyclopedia and other primary sources are established. Establishing links allows a dictionary and thesaurus to be formed for the applied subject area of new boundary value problems, placing the results in the semantic environment of the digital library. Examples of this approach are seen in terms of the capabilities of 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, drawn from publications, after they are added to the content of the library, are reflected in links in the mathematical encyclopedia. A thesaurus for problems in domain of elasticity theory was created by integrating subject dictionaries, classifiers, metadata of specialized journal publications, and the encyclopedic content of the LibMeta library. The purpose of this research is to provide the user with additional services in the search for publications in the applied scientific field.