# Continuous modelling

> Mediated Wiki article. Canonical URL: https://mediated.wiki/source/Continuous_modelling
> Markdown URL: https://mediated.wiki/source/Continuous_modelling.md
> Source: https://en.wikipedia.org/wiki/Continuous_modelling
> Source revision: 1241134642
> License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/)

{{Short description|Mathematical practice}}
{{One source|date=August 2024}}

'''Continuous modelling''' is the [mathematical](/source/mathematical) practice of applying a [model](/source/mathematical_model) to [continuous](/source/continuous_variable) data (data which has a potentially infinite number, and divisibility, of attributes). They often use [differential equation](/source/differential_equation)s<ref name="Zill2012">{{cite book|author=Dennis G. Zill|title=A First Course in Differential Equations with Modeling Applications|url=https://books.google.com/books?id=pasKAAAAQBAJ&q=%22ordinary+differential%22|date=15 March 2012|publisher=Cengage Learning|isbn=978-1-285-40110-2}}</ref> and are converse to [discrete modelling](/source/discrete_modelling).

Modelling is generally broken down into several steps:

* Making assumptions about the data: The modeller decides what is influencing the data and what can be safely ignored.
* Making equations to fit the assumptions.
* Solving the equations.
* Verifying the results: Various statistical tests are applied to the data and the model and compared.
* If the model passes the verification progress, putting it into practice.
* If the model fails the verification progress, altering it and subjecting it again to verification; if it persists in fitting the data more poorly than a competing model, it is abandoned.

==References==
{{reflist}}

==External links==
*[https://web.archive.org/web/20041221235307/http://www.npl.co.uk/scientific_software/research/math_modelling/ Definition by the UK National Physical Laboratory]

Category:Applied mathematics

{{Mathapplied-stub}}

---
Adapted from the Wikipedia article [Continuous modelling](https://en.wikipedia.org/wiki/Continuous_modelling) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Continuous_modelling?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.