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What is a discretisation?

What is a discretisation? Here are some definitions.

Noun
  1. (Britain) Alternative spelling of discretization
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In order to speed up this process are performed with first-order discretisation.
Since grid-cell discretisation possesses little structure, these schemes can at best be first-order convergent.
The finite element method is applied for discretisation of a structure and mathematical programming is used for the numerical solution to the problem.

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