摘要
ＰⅢ分布曲线的离均系数值表是ＰⅢ曲线的根本，目前我国所采用的值表是在较落后计算条件下产生的，本文在利用连分级数及求和级数精确计算ＰⅢ分布积分的基础上，联合牛顿迭代法与弦截矩法，可以很快地在已知Ｃｓ和频率Ｐ（％）的情形下迭代求得离均系数值．并和英文原版数学手册的有关数值进行了对比，结果完全相符，在此基础上，给出了几个频率Ｐ（０．００１～１．０％），Ｃｓ从０．０～６．５（间隔０．１）的值表，原值表与现值表在频率很小时在小数后面的第二位有差异，本文给出的其对比结果．作者编制了汉化的软件．
The value table of P- Ⅲ Distribution is significant for plotting the P-Ⅲ curve.The prensent value table was calculated in 1960, updating it is necessary.Using series formulas instead of integratingmethod, present method saves a lot of CPU time and the results match the results of Mathematical Handbook. Combining the Newtonian Iteration Method and the interpolation iteration method, the degree ofconvergence of value is 10-10.The prsent paper gives some differences between the old value tableand present results. And the Chiners software has been worked out.
出处
《重庆交通学院学报》
CAS
1996年第2期72-80,共9页
Journal of Chongqing Jiaotong University
关键词
工程水文学
ψ值表
牛顿迭代法
PⅢ分布曲线
s:P-Ⅲdistribution,continued fraction,value table,Newtonian iteration, interpolationiteration
