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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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For example, engineers use multigrid methods to analyze numeric properties of physical phenomena using a hierarchy of grid discretization.
Dr. Shah has developed breakthrough methods in numerical discretization, error estimation, and adaptive computational solution techniques.
To improve the accuracy of that extrapolation, we place a high premium on finding improved algorithms that reduce discretization artifacts.
Introduction to discretization techniques for solving engineering problems.
The spatial finite difference discretization of these equations is examined.
The time discretization has been achieved by an implicit finite-difference scheme, thus guaranteeing an intrinsic numerical stability.

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