解析延拓方法用于强烈振荡函数的数值积分

ANALYTICAL CONTINUATION METHOD FOR EVALUATING HIGHLY OSCILLATORY INTEGRALS

本文简要叙述了解析延拓方法用于强烈振荡函数数值积分的有关问题。在此基础上,实际地编制了在粒子物理、核物理、原子物理和其它领域中经常出现的一类积分的数值计算程序。实际检验表明,此种方法比普通方法简便有效,不但计算速度快,而且精确度高。

The analytical continuation method is used for evaluating efficiently and accuratyintegrals, such as, where xt(x) can be a spherical Bessel functionjl(x), or a spherical Neumanm function nj(x). In particular, a practical program based on the method mintioned above has been made and its results show that the present method is very efficient and highly accurate.