| 释义 |
discretization|dɪˌskriːtaɪˈzeɪʃən, ˌdɪs-|
[f. discrete a. + -ization.]
a. The process of making discrete; in Math., (a) representation by, or approximation by means of, a discrete quantity or quantities.
b. The state of being discrete.
c. attrib., as discretization error.
1960Forsythe & Wasow Finite-Difference Methods for Partial Differential Equations i. 54 Discretization error is a more descriptive designation for the quantity v, and we shall use it. Ibid. iii. 176 This process we call discretization, and in its general form it assumes nothing about whether the members of the set S are points, arcs.., or other entities. 1968H. M. Lieberstein Course Numerical Analysis iv. 70 Ways of obtaining error bounds..from good approximations of discretizations. 1971Nature 13 Aug. 506/3 The second part of the book..starts by examining a sample of thirty-one galaxies for evidence of discretization. 1972Science 13 Oct. 157/1 Chief among these is truncation (discretization) error, caused by the coarseness of the grid. 1976Physics Bull. Mar. 117/2 Note that at this point we have introduced a discretization of the time. 1979Y. Ovchinnikov et al. in W. H. Banks Adv. in Printing Sci. Technol. viii. 120 Discretization and quantization of signals. 1980[see discretize v. below]. 1983Computerworld 28 Nov. 96/5 The Differential Systems Simulator,..containing spatial discretization routines for initial-value ordinary and partial differential equations. 1984Mech. Engin. CVI. 88/1 This paper presents a quantitative assessment of mass discretization by utilizing exact analytical solution to the discrete problem of beam and bar vibrations.
Hence diˈscretize v. trans., to subject to discretization, to render discrete; diˈscretized ppl. a.
1968H. M. Lieberstein Course Numerical Analysis ix. 158 Partitioning (0, l) and (0, T) with equal meshes h and k, we discretize the problem by asking for values of u on the discrete set indicated. 1976Biometrika LXIII. 444 The linear programming dual to problem 1..or, rather, the dual to the discretized version (7·1) and (7·3), is as follows. 1980Topic (Imperial College, London) June 4/1 This work led to a more general study of duality concepts in discretised structural mechanics. 1980R. Bartels et al. tr. Stoer & Bulirsch's Introd. Numerical Analysis i. 1 Many approximating problems P are obtained by ‘discretizing’ the original problem P: definite integrals are approximated by finite sums, differential quotients by difference quotients, etc. In such cases, the approximation error is often referred to as discretization error. |
