一维河流水质方程解析解性态的初步分析

采用较为简单的数学方法，建立了一维时投源河流水质方程解析解计算结果的统计参数与原始数据的统计参数间的近似关系，推导出描述该解析解计算问题性态的条件数，通过讨论，指明了计算问题属于“病态”和“良态”的条件。从而为正确使用该解析解解决实际水质问题提出了相应的建议。

Analysis on the Performance of One-dimension Stream Water Quality Equation's Analytical Solution

With simple mathematic theory, the approximate relation between the statistic parameter of the comput- ing result's error of the analytical solution of one dimension stream water quality equation and that of original data error has been established in this paper, and correspondingly the conditional numbers which can be used to describe the performance of computing problem have been derived. On the base of these, the performance of the direct and inverse computing problems being"ill-conditioned" or"well-conditioned" has been analysized.