一类与马丢函数有关的强烈振荡积分的数值计算

计算物理 ›› 1992, Vol. 9 ›› Issue (S1): 506-510.

一类与马丢函数有关的强烈振荡积分的数值计算

龙永兴

核工业西南物理研究院, 成都 610041

收稿日期:1991-10-30 出版日期:1992-12-31 发布日期:1992-12-31

NUMERICAL CALCULATION OF A CLASS OF HIGHLY OSCILLATORY INTEGRALS WITH THE MATHIEU FUNCTION

Long Yongxing

Southwestern Institute of Physics, Chengdu, 610041

Received:1991-10-30 Online:1992-12-31 Published:1992-12-31

摘要/Abstract

摘要： 简要介绍了计算马丢函数积分的有关问题,计算实践表明,本文的计算方法不仅获得了满意的结果,而且节省大量的计算时间。

关键词: 马丢函数, 振荡积分

Abstract: This paper describes a method for computing highly oscillatory integrals with the Mathieu function. The practice proves that not only the results are highly satisfactory, but also the method is time-saving.

Key words: mathieu function, oscillatory integrals

龙永兴. 一类与马丢函数有关的强烈振荡积分的数值计算[J]. 计算物理, 1992, 9(S1): 506-510.

Long Yongxing. NUMERICAL CALCULATION OF A CLASS OF HIGHLY OSCILLATORY INTEGRALS WITH THE MATHIEU FUNCTION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(S1): 506-510.