明渠水力计算的不动点算法及其分析

Fixed Point Algorithms and Analysis of Hydraulic Computation in Channel

本文依据不动点原理,讨论明渠水力计算中隐式高次方程和微分方程的数值算法,分析了作者构造的、适应牛顿迭代法的水力计算数值模式。数值试验表明:这些数值模式结构简单,收敛性质良好,计算简捷有效。

Fixed point method is used to discuss numerical algorithms of implicit higher-degree polynimical and ordinary differential equation for hydraulic computation in channel. Numerical model of hydraulic computation applied to Newton's method of iteration is presented. It was indicated by the numeratieal test that this numerical model is simpler and more effective and convergence is better.