摘要
Ｒｉｃｈａｒｄｓｏｎ外推法或Ｒｏｍｂｅｒｇ求积方法只能以梯形公式为基础对求积进行加速。本文给出的数值积分加速定理，不但可使梯形公式得到加速，而且可使更多的求积方法得到加速。因而，本文定理具有范围广泛得多的适用性。
Using acceleration theorems given by this paper. not only trapezoidal rule can be accelerated, but also can more quadrature methods, e. g. Gaussian integration. NewtonCotes' rule. Patterson's quadrature method and so on, be accelerated. Therefor.theorems in this paper can be found wide application in greater range.
关键词
数值积分
加速定理
Richardson' s extrapolation
Romberg' s quadrature method
