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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
The time discretization has been achieved by an implicit finite-difference scheme, thus guaranteeing an intrinsic numerical stability.
To improve the accuracy of that extrapolation, we place a high premium on finding improved algorithms that reduce discretization artifacts.
The model uses the finite element method which is appropriate for discretization of a highly irregular and complex region.
Dr. Shah has developed breakthrough methods in numerical discretization, error estimation, and adaptive computational solution techniques.
The spatial finite difference discretization of these equations is examined.
In the following section we will consider the time and space discretization of equations having this general form.

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