【摘要】 作者对一维圣维南方程中曼宁糙率的参数辩识问题进行了研究与计算。使用最小二乘逼近的思想建立了相应最优模型的目标函数。通过Fr chet微分的概念和构造协态方程来进一步确定目标函数的下降方向 ,再用牛顿 -辛普森迭代法来求解上述的最优模型。最后本文给出了一个计算实例更多还原

【Abstract】 The parameter identification of Manning roughness coefficient in solving 1 D St. Venant equations is presented. The objective function is established by means of least square approximation. Based on the concept of Frechet difference and synergic equation, the descent direction of objective function is defined. Then, the optimal model is solved by Newton Simpson iteration method making the calculation method more effective and precise. An example is given for demonstration.更多还原