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

作　　者：王雪娇[1] 钱伟婷 杜鹃[1] 翁云华[1] 

机构地区：[1]成都理工大学管理科学学院,成都610059

出　　处：《四川理工学院学报（自然科学版）》2015年第2期97-100,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：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.

关 键 词：变分原理 欧拉-拉格朗日方程 自然边界条件 横截条件 分布式水文模型 

分 类 号：TB115[理学—数学]