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单词 Numerical quadrature
释义

Numerical quadrature

中文百科

数值积分 Numerical integration

(重定向自Numerical quadrature)
用一系列矩形的和来逼近积分的精确值。

在数值分析中,数值积分是计算定积分数值的方法和理论。在数学分析中,给定函数的定积分的计算不总是可行的。许多定积分不能用已知的积分公式得到精确值。数值积分是利用黎曼积分等数学定义,用数值逼近的方法近似计算给定的定积分值。借助于电子计算设备,数值积分可以快速而有效地计算复杂的积分。

英语百科

Numerical integration 数值积分

(重定向自Numerical quadrature)
Antique method to find the Geometric mean
The area of a segment of a parabola

In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to quadrature) is more or less a synonym for numerical integration, especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature; others take quadrature to include higher-dimensional integration.

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更新时间:2025/6/19 5:05:32