English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The growing complexity of modern practical problems puts high demands on themathematical modelling. Given that various models can be used for modelling onephysical phenomenon, the role of model comparison and model choice becomesparticularly important. Methods for model comparison and model choice typicallyused in practical applications nowadays are computation-based, and thus, timeconsuming and computationally costly. Therefore, it is necessary to developother approaches for working abstractly, i.e. without computations, withmathematical models. The abstract description of mathematical models can beachieved by help of abstract mathematics, implying formalisation of models andrelations between them. In this paper, a category theory-based approach tomathematical modelling is proposed. On this way, mathematical models areformalised in the language of categories, relations between the models areformally defined, as well as several practically relevant properties areintroduced on the level of categories. Finally, an illustrative example ispresented underlying how the category-theory based approach can be used inpractice. Further, all constructions presented in this paper are also discussedfrom the modelling point of view by making explicit the link to concretemodelling scenarios.

Mathematical modelling by help of category theory: models and relations between them