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Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines

  • In applied mathematics and related disciplines, the modeling-simulation-optimization workflow is a prominent scheme, with mathematical models and numerical algorithms playing a crucial role. For these types of mathematical research data, the Mathematical Research Data Initiative has developed, merged and implemented ontologies and knowledge graphs. This contributes to making mathematical research data FAIR by introducing semantic technology and documenting the mathematical foundations accordingly. Using the concrete example of microfracture analysis of porous media, it is shown how the knowledge of the underlying mathematical model and the corresponding numerical algorithms for its solution can be represented by the ontologies.

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Metadaten
Author:Björn Schembera, Frank Wübbeling, Hendrik Kleikamp, Christine Biedinger, Jochen Fiedler, Marco Reidelbach, Aurela Shehu, Burkhard Schmidt, Thomas Koprucki, Dotothea Iglezakis, Dominik Göddeke
Document Type:In Proceedings
Parent Title (English):Metadata and Semantic Research - MTSR 2023
First Page:161
Last Page:168
Publisher:Springer Nature Switzerland
Place of publication:Cham
Year of first publication:2023
Page Number:8
ArXiv Id:http://arxiv.org/abs/2310.20443
DOI:https://doi.org/10.1007/978-3-031-65990-4_14
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