A classification of modelling languages for differential-algebraic equations

Abstract

Several aspects can be defined for modelling languages. This paper establishes three important concepts:

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  Discipline: specifies which domain(s) of science can be represented.

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  Paradigm: states the main mathematical characteristics of the language.

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  Modelling level: qualifies the semantic basement of the representation.

Modelling languages can thus be positioned in a three-axis view, yielding a clear and unambiguous expression of their application scope. There is no absolute “best” choice among the modelling languages. Any simulation specialist must be aware of the characteristics of the different formalisms to be able to select the one that fits any particular problem.