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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.