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翻译样例: 频域格林函数计算3
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摘要:传统的频域格林函数计算方法主要采用级数或渐进展开式对其进行数值逼近,但这种方法需要非常细致的分区,计算过程复杂,循环次数也较多,极大地影响计算效率。本文将高斯积分引入到频域格林函数及其导数的数值计算,并将其计算结果与已有参考文献进行对比,证明该方法在满足足够精度的基础上,使计算过程大大简化,减少了分区,提高了计算效率。

关键词:频域格林函数;数值逼近;高斯积分法

Abstract: The traditional calculation method of frequency-domain Green's function mainly utilizes series or asymptotic expansion to carry out numerical approximation, however, this method requires very careful zoning, thus the computing process is complex with more cycles, which has greatly affected the computing efficiency. In this article, we introduced Gaussian integral into the numerical calculation of the frequency-domain Green's function and its derivative; moreover, the calculation result is compared with that in existing literatures. The comparison results demonstrated that, on the basis of its sufficient accuracy, the method has greatly simplified the computing process, reduced the zoning and improved the computing efficiency.

Key words: frequency-domain Green's function; Numerical approximation; Gaussian integral method

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