分子积分中辅助函数的任意精度计算(Ⅰ)——用向前递推方案计算不完全Gamma函数  

COMPUTATION OF AUXILIARY FUNCTIONS IN MOLECULAR INTEGRAL UP TO ARBITRARY ACCURACY (Ⅰ)EVALUATION OF INCOMPLETE GAMMA FUNCTION BY FORWARD RECURRENCE SCHEME

作　　者：李延欣[1] 董夏兰[1] 潘守甫[1] 

机构地区：[1]吉林大学原子与分子物理研究所,130023

出　　处：《计算物理》1992年第A02期714-716,共3页Chinese Journal of Computational Physics

摘　　要：本文给出v∈[0,∞)和z∈(-∞,0]时标准不完全Gamma函数的两个基本不等式。由此出发,推导出这种函数向前递推方案的误差规律。此误差规律所预计的相对误差与数值实验给出的相对误差下限在v与z的定义域内几乎重合。Two inequalities of incomplete Gamma function are given for the domain v∈ [0, -∞) and z∈ (-∞,0] .Based upon the inequalities, we derive the round off error propagation regularity of the forward recurrence scheme. Our numerical experiments indicate that the relative error predicated by our regularity almost coincides with that from authentic regularity in the whole domain of v and z .

关 键 词：分子积分 误差分析 Γ函数 

分 类 号：O411[理学—理论物理]