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.
%0 Conference Paper
%1 10.1007/978-3-031-65990-4_14
%A Schembera, Björn
%A Wübbeling, Frank
%A Kleikamp, Hendrik
%A Biedinger, Christine
%A Fiedler, Jochen
%A Reidelbach, Marco
%A Shehu, Aurela
%A Schmidt, Burkhard
%A Koprucki, Thomas
%A Iglezakis, Dorothea
%A Göddeke, Dominik
%B Metadata and Semantic Research
%C Cham
%D 2024
%E Garoufallou, Emmanouel
%E Sartori, Fabio
%I Springer Nature Switzerland
%K cmcs ians
%P 161--168
%T Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines
%X 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.
%@ 978-3-031-65990-4
@inproceedings{10.1007/978-3-031-65990-4_14,
abstract = {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.},
added-at = {2025-11-11T16:15:12.000+0100},
address = {Cham},
author = {Schembera, Bj{\"o}rn and W{\"u}bbeling, Frank and Kleikamp, Hendrik and Biedinger, Christine and Fiedler, Jochen and Reidelbach, Marco and Shehu, Aurela and Schmidt, Burkhard and Koprucki, Thomas and Iglezakis, Dorothea and Göddeke, Dominik},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/29255fcdc511ec89b0d6d8650288c1ccf/mathematik},
booktitle = {Metadata and Semantic Research},
editor = {Garoufallou, Emmanouel and Sartori, Fabio},
interhash = {3fb01bda6067091943a4650f62f753fd},
intrahash = {9255fcdc511ec89b0d6d8650288c1ccf},
isbn = {978-3-031-65990-4},
keywords = {cmcs ians},
pages = {161--168},
publisher = {Springer Nature Switzerland},
timestamp = {2025-11-11T16:15:12.000+0100},
title = {Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines},
year = 2024
}
