# 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 ?
This is used to define an Area of Fluid (AOF) as the area of the face occupied by liquid, rather than using traditional discretisation methods.
This approach predicts the price with the accuracy specified in the discretisation step, differentiating amongQdifferent levels.
1, the matrices A and B are obtained from the discretisation of the operator [L.
By utilizing extremely fine meshes the resulting discretisation error for the mean Nusselt number is reduced below 0,1 %.
Discretisation approach applied for modelling of particulate solids is schematically illustrated in Figure 2.
C'est List qui avait raison, mais cela signifiait simplement (Molino et Nattiez 2007) qu'il faut etablir une typologie des formes d'utilisation du son dans les differentes cultures, ce qui permettra d'integrer dans le musical--car on ne voit pas au nom de quoi on les exclurait--les jeux de gorge des Inuit, les glissandi des Formosans, les tumbling strains dont a parle Sachs, et la musique electro-acoustique, mais il faudra les placer dans une categorie generale specifique, distincte de celle qui designe les musiques fondees sur la discretisation des hauteurs.
Typically, these include simplified physics models, numerical models evaluated at varying levels of discretisation and/or converged to contrasting degrees of accuracy, Reduced Order Models (ROMs), response surfaces models and artificial neural networks.
For a PEC, the FEM would require discretisation of the volume exterior to the object between the conductor and a suitably chosen outer boundary, where a far field boundary condition should be imposed.
The objectives of this study were therefore to: (i) calibrate two different conceptual models for soil water flow to an experimental dataset in an SVA system using a genetic algorithm; (ii) compare the accuracy of the calibrated models for predicting water content at various depths; (iii) examine the representativeness of effective parameters by studying the impact of soil profile discretisation on water content predictions (different scenarios including various number of layers); and (iv) provide functional analyses in terms of drainage for the different scenarios.

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