discretization

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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 ?
However, the resulting equations of our scheme is linear so that the standard space discretization methods, for example, the finite difference, finite element, spectral methods are readily applicable.
For homogeneous exterior, there are a variety of local absorbing boundary conditions [8, 9] which can be used with volume discretization methods such as FEM or the finite difference time domain method (FDTD).
From the discretization method (9) we obtain an horizon of the visible Universe at redshift z = 1.
The Finite Integration Technique (FIT), first proposed by Weiland in 1977 [2, 3], is a consistent geometric discretization method turning Maxwell's equations into a set of algebraic matrix equations, the so-called Maxwell-Grid-Equations (MGE).
A more accurate discretization method resembling experimental [mu]-CT procedure is presented below.
When choosing the optimum discretization method, we took into account that the precision degree of the obtained results increased with the augmentation of finite elements, but even this figure could not have been of any amount, as the number of unknown degrees of liberty would be increased, and their calculation period would consequently increase.
According to the generic shape of the vehicles and the discretization method of the prototype templates in [4], we adapt an especial discretization way which considers carefully the peculiar polygonal shape character of a vehicle (Fig.
Rather than taking the cut points decided by a discretization method as sharp borders for intervals, we can instead place some kind of curve at each cut point as a fuzzy border.
On the accuracy of the Haar wavelet discretization method.
1) is desirable that stabilizes the solutions of the problem while maintaining a certain accuracy of the discretization method.
For [Omega] not very close to 1, all poles are at a fair distance from the interval [-1, 1], and the discretization method of Section 3.