Search results
Results from the WOW.Com Content Network
Discretization is also related to discrete mathematics, and is an important component of granular computing. In this context, discretization may also refer to modification of variable or category granularity, as when multiple discrete variables are aggregated or multiple discrete categories fused.
Discretization concerns the process of transferring continuous models and equations into discrete counterparts, often for the purposes of making calculations easier by using approximations. Numerical analysis provides an important example.
Discretization error, which arises from finite resolution in the domain, should not be confused with quantization error, which is finite resolution in the range ...
Then the method enters the GDM framework with the same definition as in the case of the Galerkin method, except for the fact that must be understood as the "broken gradient" of , in the sense that it is the piecewise constant function equal in each simplex to the gradient of the affine function in the simplex.
Temporal discretization is done by integrating the general discretized equation over time. First, values at a given control volume at time interval are assumed, and then value at time interval + is found. This method states that the time integral of a given variable is a weighted average between current and future values.
It is a form of discretization in general and also of binning, as in making a histogram. Whenever continuous data is discretized, ...
Suppose we have a continuous differential equation ′ = (,), =, and we wish to compute an approximation of the true solution () at discrete time steps ,, …,.For simplicity, assume the time steps are equally spaced:
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 ...