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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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The time discretization has been achieved by an implicit finite-difference scheme, thus guaranteeing an intrinsic numerical stability.
Three-node triangular axisymmetric elements were used for spatial discretization of the plasma.
In the following section we will consider the time and space discretization of equations having this general form.
Analyses all required a planar mathematical discretization of a region containing a prescribed number of cells with prescribed orientations.
Introduction to discretization techniques for solving engineering problems.
For example, engineers use multigrid methods to analyze numeric properties of physical phenomena using a hierarchy of grid discretization.

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