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Typically data is discretized into partitions of K equal lengths/width (equal intervals) or K% of the total data (equal frequencies). [1] Mechanisms for discretizing continuous data include Fayyad & Irani's MDL method, [2] which uses mutual information to recursively define the best bins, CAIM, CACC, Ameva, and many others [3]
Especially, it is a robust spatial discretization method for simulating multi-phase (solid-fluid-gas) interactions. In the MPM, a continuum body is described by a number of small Lagrangian elements referred to as 'material points'. These material points are surrounded by a background mesh/grid that is used to calculate terms such as the ...
Some websites offer facilities to share slide presentations online. SlideShare allows the user to share presentations publicly or privately. Slides can be uploaded in various ways, via email and through social media are the most common ways of sharing the slides. [9] AuthorSTREAM only allows the user to upload PowerPoint presentation slides. On ...
In computational physics, the term advection scheme refers to a class of numerical discretization methods for solving hyperbolic partial differential equations. In the so-called upwind schemes typically, the so-called upstream variables are used to calculate the derivatives in a flow field. That is, derivatives are estimated using a set of data ...
Functions which are not smooth can be made smooth using a mollifier prior to discretization. As an example, discretization of the function that is constantly yields the sequence [..,,,,..] which, interpreted as the coefficients of a linear combination of Dirac delta functions, forms a Dirac comb.
Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast as a multigrid method. [3] In these cases, multigrid methods are among the fastest solution techniques known today.
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