摘要
我们用最陡下降法处理一类指数型被积函数的积分的估值问题，解释了它与稳定相分析及鞍点法之间的联系．把这种方法用于Γ函数的渐近展开和直边阻挡物的菲涅耳衍射得出很好的结果，说明这是一种有效的近似方法．
We have dealt with integral evaluation of a general exponential integrand by use of the tech- nique of steepest descent,and interpreted that it can be related with usual stationary phase and saddle point method. Its application to the asymptotic expansion of the Γ function and the analysis of Fresnel diffraction by a straightedge barrier indicate that the approximation is widely valid because the ealculation results are good.
出处
《山东师范大学学报（自然科学版）》
CAS
1994年第3期11-15,共5页
Journal of Shandong Normal University(Natural Science)
基金
山东省自然科学基金
关键词
最陡下降法
稳定相分析
分子
原子
散射
method of steepest descent
stationary phase analysis
asymptotic expansion
Fres-nel diffraction
