变分法的灵敏度分析及其在分布式水文模型的应用

Sensitivity Analysis of Calculus of Variations and Its Application in Distributed Hydrological Models

在变分法原理的基础上,处理了变分法的灵敏度分析问题。利用扰动技术推导出边界值问题,运用欧拉-拉格朗日方程、自然边界条件和横截条件,以简单自然的形式推导出变分灵敏度的等价公式。研究了基于变分法的分布式水文模型的灵敏度分析。

Based on the principle of variational method, the problem of sensitivity analysis in calculus of variations is managed. A perturbation technique is applied to deduce the boundary value problem, and the Euler-Lagrange equations, nat- ural boundary conditions and transversality conditions are used to get the equivalent formulas for the sensitivities by a simple and natural way. Based on the variational method, the sensitivity analysis of distributed hydrological model is studied.