Abstract
The partial model mathematical_model is concerned with the description of mathematical models. Fig. 9.1 gives an overview of the ontology modules of mathematical_model and their interrelations. The main module, mathematical_model (cf. Sect. 9.1), introduces the basic concepts for mathematical modeling, including model variables as well as items pertaining to sub-models and their connections. CapeML (von Wedel 2002) was taken as an important source. The ontology module equation_system (cf. Sect. 9.2) further specifies the characteristics of the model equations that constitute a mathematical model. Based on these characteristics, an appropriate numerical solver can be selected, which is the concern of the ontology module numerical_solution_strategy (cf. Sect. 9.3).
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Marquardt, W., Morbach, J., Wiesner, A., Yang, A. (2010). Mathematical Models. In: OntoCAPE. RWTHedition. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04655-1_9
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DOI: https://doi.org/10.1007/978-3-642-04655-1_9
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