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What is a discretization?

What is a discretization? Here are some definitions.

Noun
  1. (mathematics) The act of discretizing, or dividing a continuous object into a finite number of discrete elements
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Examples
Dr. Shah has developed breakthrough methods in numerical discretization, error estimation, and adaptive computational solution techniques.
The early time discrepancy was attributed to the use of an overly-coarse discretization in the outer few mm of the tailings source.
The spatial finite difference discretization of these equations is examined.
Introduction to discretization techniques for solving engineering problems.
The model uses the finite element method which is appropriate for discretization of a highly irregular and complex region.
To improve the accuracy of that extrapolation, we place a high premium on finding improved algorithms that reduce discretization artifacts.

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