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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
Analyses all required a planar mathematical discretization of a region containing a prescribed number of cells with prescribed orientations.
Three-node triangular axisymmetric elements were used for spatial discretization of the plasma.
Introduction to discretization techniques for solving engineering problems.
To improve the accuracy of that extrapolation, we place a high premium on finding improved algorithms that reduce discretization artifacts.
Dr. Shah has developed breakthrough methods in numerical discretization, error estimation, and adaptive computational solution techniques.
For example, engineers use multigrid methods to analyze numeric properties of physical phenomena using a hierarchy of grid discretization.

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