振荡积分的一种处理方法

A Method for the Numerical Integration of Oscillating Functions

给出了用牛顿-柯特斯公式计算振荡积分的C语言程序,用几个算例说明这个方法的可行性,同时说明用复合牛顿-柯特斯公式等分区间数目选定的要求.对含振荡积分的高维积分,对每一维的积分都能采用牛顿-柯特斯公式.

This paper offers the C program for the integration of oscillation function by Newton-Cotes integration formula,and its effectiveness is demonstrated by a number of examples.And the suitable number of intervals required for composite Newton-Cotes integration formula is given as well.As for the calculation of higher dimensional integration of an oscillating function,the Newton-Cotes formula should be utilized for the integration of each dimension.