...振荡积分；稳定点 [gap=560]Key words：asymptotic expansion; exponential sum; method of stationary phase; oscillatory integrals; stationary point ...
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在一定条件下，对振荡积分值做贡献的主要来自被积函数在临界点附近的小区间的积分值。
Under some conditions, the major contribution to the value of oscillatory integral comes from neighborhoods of those critical points of the integrand.
本文给出一些充分条件，使振荡函数的含参量积分保持振荡性。
In this paler we give some sufficient conditions, such that integrals of oscillatory functions with a parameter remaining oscillatory.
由于这类积分的强烈振荡性，直接数值积分，即通常的广义点源叠加方法(GPSS)，计算比较复杂。
Due to intense oscillation of these integral, calculation using direct numerical integral, i. e., GPSS (the generalized point source synthesis method), is complex.
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