请输入您要查询的字词:

 

单词 Quadrature
释义

quadrature


Quadrature is the computation of a univariate definite integral. It can refer to either numerical or analytic techniques; one must gather from context which is meant. The term refers to the geometric origin of integration in determining the area of a plane figure by approximating it with squares.

Cubature refers to higher-dimensional definite integral computation. Likewise, this term refers to the geometric operation of approximating the volume of a solid by means of cubes (and has since been extended to higher dimensions).

The terms “quadrature” and “cubature” are typically used in numerical analysisto denote the approximation of a definite integral, typically by a suitableweighted sum. Perhaps the simplest possibility is approximation by a sum ofvalues at equidistant points, i.e. approximate 01f(x)𝑑x byk=0nf(k/n)/n. More complicated approximations involve variableweights and evaluation of the function at points which may not be spacedequidistantly. Some such numerical quadrature methods are Simpson’s rule, the trapezoidal ruleMathworldPlanetmath, and Gaussian quadrature.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 5:41:02