山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (10): 50-55.doi: 10.6040/j.issn.1671-9352.0.2016.558
孔艺婷,王同科*
KONG Yi-ting, WANG Tong-ke*
摘要： 针对有限和半无限区间上包含代数和对数奇异因子的振荡型Fourier积分,通过改变积分路径,将振荡因子变换为复平面上的快速衰减因子,使得积分不再振荡。对于转换后无穷区间上的奇异积分,可以使用修正的Gauss-Legendre求积方法高效计算,数值算例验证了理论分析的正确性和方法的高精度。
中图分类号:
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