Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun The act of making mathematically discrete.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun mathematics, computing The act of
discretizing , or dividing a continuous object into a finite number ofdiscrete elements
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

(Note how Groensteen calls "discretization" an essential element of panel breakdowns above.)

The Framers probably wouldn't have used the word "discretization" (if in fact that is a word?), but they did have a sense of how difficult it is to reliably count votes.

It is an instrument in the service of a global artistic project, frequently subordinated to a narrative, or, at least, discursive aim; if it submits a priori to some formal rule that constrains the contents and, in a certain way, creates them, the page layout is generally elaborated from a semantically determined content, where the breakdowns has already assured discretization in successive enunciations known as panels.

Hopes for improved climate simulations of the polar regions are also associated with spherical geodesic grids, which allow for approximately uniform discretization of the sphere.

Rotating grids or introducing alternative grids, for example, geodesic grids providing approximately uniform discretization of the sphere [19] or using curvilinear generalized coordinates [20], are now being pursued in order to eliminate the converging meridian problem.

That centroid step is indeed the sort of discretization I meant.

This is done by discretization of the basic equations governing the behavior of the atmosphere, and implementation of these discretized equations on an appropriate computer.

The vertical discretization of current AGCMs cannot resolve the large temperature gradients and inversions that exist in the arctic ABL.

The naive lattice discretization of the Dirac operator gives rise to “doublers” (spurious fermion species) and NN basically says that there is no way to fix this without ruining the chiral nature of the theory, i.e. ruining the possibility to decompose the massless lattice fermion action into decoupled left  and righthanded pieces.

It can also po  tentially overcome discretization problems that might intro  duce artifacts at the boundaries of binary patterns
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