| Γ分布函数与S（t）曲线通用算法的研究 |
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| 引用本文： | 李世才.Γ分布函数与S（t）曲线通用算法的研究[J].水文,1995(1). |
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| 作者姓名： | 李世才 |
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| 作者单位： | 广西南宁水利电力设计院 |
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| 摘 要： | 瞬时单位线中Ｓ（ｔ）曲线的计算方法，是工程水文计算研究的难点之一，目前在实际工作中应用的方法都有一定的缺陷。为此对其数学表达式进行了变换，把它归纳为求解Γ分布函数的值，并给出了其通用算法的解析表达式和截断误差估计式。通过实践证明，通用算法的数学模型具有实现算法简便、求解灵活、计算精度高、节省存贮空间、通用性强、收敛速度快、数值稳定性好等优点。
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| 关 键 词： | 通用算法，Γ分布函数，S（t）曲线，水文安全复核，解析表达式 |
A Study on the General Algorithm of Gamma Distribution Function and S(t)Curve |
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| Li Shicai.A Study on the General Algorithm of Gamma Distribution Function and S(t)Curve[J].Hydrology,1995(1). |
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| Authors: | Li Shicai |
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| Institution: | Nanning Design Institute of Water Resources and Electric Power |
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| Abstract: | The computational method of S(t)curve in instantaneous unit hydrograph is a difficult point inthe research on computation ofengineering hydrology.At present,the method still has some shortcomings in prac-tice,so we have transformed its mathematical expression,made it to be evaluation of gamma distribution function,and given its general analytic expression and estimation formula on truncation error.Proved by practice,itsmathematical model is simple,flexible,and has the advantage of high precision,saving of memoryspace. stronggenerality,high convergence speed,good numerical stability and etc |
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| Keywords: | :general algorithm gamma distribution function S(t)curve safety check of hydrology analytic expression |
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