Continuous modelling

Continuous modelling is the mathematical practice of applying a model to continuous data (data which has a potentially infinite number, and divisibility, of attributes). They often use differential equations[1] and are converse to 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

  1. ^ Dennis G. Zill (15 March 2012). A First Course in Differential Equations with Modeling Applications. Cengage Learning. ISBN 978-1-285-40110-2.
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