Definition of discretize in English:
discretize
(British discretise)
verb dɪˈskriːtʌɪzdisˈkrēˌtīz
[with object]Mathematics Represent or approximate (a quantity or series) using a discrete quantity or quantities.
〔数〕离散
Example sentencesExamples
- Ten categories appear to be sufficient for discretizing the integral over parameters.
- For the continuous distributions of selection coefficients, calculations are performed by discretizing the density function using 10 categories.
- Approximations are made when the world is represented using continuous models (partial differential equations) and when these continuous models are discretized.
- To solve such equations we must retreat to discrete steps and computations, and sometimes the continuous space itself must be discretized over a mesh before submission to a computing device.
- To make the solution feasible, compromises must be made in the resolution of the grids used to discretize the equations.
Derivatives
noun dɪskriːtʌɪˈzeɪʃ(ə)n
Mathematics For example, engineers use multigrid methods to analyze numeric properties of physical phenomena using a hierarchy of grid discretization.
Example sentencesExamples
- The time discretization has been achieved by an implicit finite-difference scheme, thus guaranteeing an intrinsic numerical stability.
- The spatial discretization used finite differences, and the method of lines was employed to reduce the partial differential equations to a system of ordinary differential equations.
- To improve the accuracy of that extrapolation, we place a high premium on finding improved algorithms that reduce discretization artifacts.
- Analyses all required a planar mathematical discretization of a region containing a prescribed number of cells with prescribed orientations.