Categorical approach to modelling and to coupling of models | Zendy

Gürlebeck Klaus | Zendy; Hofmann Dirk | Zendy; Legatiuk Dmitrii | Zendy

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Categorical approach to modelling and to coupling of models

Author(s) -

Gürlebeck Klaus,

Hofmann Dirk,

Legatiuk Dmitrii

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3978

Subject(s) - consistency (knowledge bases) , process (computing) , categorical variable , computer science , coupling (piping) , process modeling , theoretical computer science , mathematics , artificial intelligence , work in process , machine learning , engineering , programming language , mechanical engineering , operations management

Solution of any engineering problem starts with a modelling process, which typically involves a choice among different kinds of models. To create a realistic model, one has to think carefully about the modelling process. Particularly in the case of coupled problems when several models are coupled together to represent a given physical phenomenon. This paper presents an approach based on the category theory that allows to describe this modelling process on a more abstract level. Using the advantages of abstract level, one can describe the coupling process in a concise way and introduce certain criteria to check consistency of a coupled model. The main idea of the proposed approach is to introduce a structure in the modelling process, which allows to see how different models interact without a precise look into them. Copyright © 2016 John Wiley & Sons, Ltd.

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