Sommerfeld积分数值算法

Sommerfe1d积分在工程领域有着广泛的应用,但积分形式复杂难以计算.特采用分段积分方法求积,并采用欧拉变换来加快其分段积分序列的收敛速度,从而求得了复杂积分形式的Sommerfeld积分的数值结果。为了尽量减少积分序列中不满足欧拉变换条件的积分序列段数,笔者还对示例积分式中的被积函数进行了变换,使积分序列能迅速进行欧拉变换。

A NUMERICAL ALGORITHM FOR SOMMERFELD INTERGRALS

Sommerfeld intergrals have widely been used in the field of engineering, but the intergrals expression are too complex to calculate. In this thesis, the way of segmented intergrals is used for Sommerfeld intergrals quadrature and Euler's transform is used to accelerate the convergence of segmented intergrals sequence. Thus, a numerical result for complex Sommerfeld Intergrals is obtained. The integrand in the instanced integral equation is transformed in order to reduce the members of integral sequence in which cannot meet the condition of Euler's transform. So Euler's transform can be applied in the integral sequence as soon as possible.