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.

翻译：在应用数学及相关学科中，建模-模拟-优化工作流是一种重要范式，其中数学模型与数值算法发挥着关键作用。针对此类数学研究数据，数学研究数据倡议组织已开发、整合并实施了本体论与知识图谱。通过引入语义技术并相应记录数学基础，这有助于使数学研究数据符合FAIR原则。以多孔介质微裂缝分析的具体案例为例，本文展示了如何通过本体论表征基础数学模型及其相应数值求解算法的知识体系。