# discretization

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Related to discretization: Discretization error

## 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 ?
As just described, applying the discretization step of the data conversion process results in a presence-absence matrix with the same dimensions as the concentration matrix.
In addition, the calculation of the discretization of GS is assumed to be the conventional 10 [ms] and the discretization of GDS to be 1 [ms].
On nodal grids, an important MFD family comprises the summation-by-part (SBP) difference operators, whose development and initial applications were focused on the conservative discretization of wave propagation problems [22, 23, 24, 30].
It can overcome the loss of information by the discretization of the data.
The indices n and k are the discrete spatial and temporal indices related to space and time coordinates via z = k[DELTA]z and t = n[DELTA]t, where [DELTA]z and [DELTA]t represent the spatial and temporal discretization intervals in z and t direction.
We studied fourth order compact difference scheme for discretization of 2D convection diffusion equation.
Implementation of discretization method at rectangular plate stability problem when elastic foundation combined to elastic supports.
Some iterative numerical methods such as AGE, IADE, ADI and classical methods are compared for solving the PDE discretization .
This discretization method is proposed by Lee et al  which is based on the concept of class attribute contingency coefficient.
The numerical approach to solving the equation begins with a discretization of the domain into a finite volume representation of the building.
The advantage of this method was its ability and flexibility to provide the analytical or approximate solutions to linear and nonlinear equations without linearization or discretization which makes it reliable for solving sine-Gordon equation.

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