discretization

(redirected from discretize)
Also found in: Dictionary.

discretization

[dis‚krēd·ə′zā·shən]
(mathematics)
A procedure in the numerical solution of partial differential equations in which the domain of the independent variable is subdivided into cells or elements and the equations are expressed in discrete form at each point by finite difference, finite volume, or finite element methods.
References in periodicals archive ?
In our model, for the sake of simplicity we discretize the equation governing the dynamic behaviour of the elastic medium (16) by means of SPH.
A mesh of 10 x 10 fibers was used to discretize both cross sections.
Theorem 3.1 discusses discretization only in t, but we discretize the system (28)-(29) also in x for numerical computation.
Considering that computer can only deal with digital signal, discretize the instantaneous phase of beat signal by taking N ramps and sampling M points in every ramp (denote the sample time interval by [t.sub.s] = T/M).
The axial velocity [(u).sup.n.sub.i,j] is obtained from (10) and (12) by applying the above finite difference scheme at any point ([z.sub.i], [x.sub.j]) in the domain of interest at any time [t.sub.n] with the help of the following discretize initial and boundary conditions (discretization of (13)):
Thus, the positions of breakpoints must be selected appropriately to discretize the attributes values, so as to obtain fewer breakpoints, larger dependency degree between attributes, and less redundant information.
translation, rotation, and scaling) on super-pixels generated by [13]-[14] is considered to expeditiously discretize the parameter space.
One of the advantages is that with panels one only has to define the surface of the body, whereas with domain methods it is essential to discretize the entire region of the flow field.
In the vertical direction, level 41 with a stretching factor of 1.1 was used to discretize a vertical expanse of 3000 m.
However, conventional computational fluid dynamics programs use grids to discretize space, presenting some limitations when it comes to working with a solid-liquid interface, as in an integrated peristaltic pump system.