多元函数极值问题的软件求解

多元函数极值问题是高等数学课程的重要内容,但是多元函数求极值计算量较大,很多情况下手动计算难以实现,本文介绍利用Matlab和lingo这两种数学软件求解多元函数极值问题。     

三江平原地下水资源管理问题研究

在水文理论的基础上建立三江平原地下水流动的微分方程数学模型,并采用解析有限元法将微分方程线性化为大型线性方程组,把线性方程组作为优化模型的一部分约束条件,将地下水流动状态方程与优化模型进行耦合,并用Lingo软件求解。结果表明,该地区浅层地下水资源丰富,具有较大的开发潜力,但由于近年来水资源配置不合理,地下水开采量过大,使区域水通量呈下降趋势。     

Studies on Resource Management of Sanjiang Plain Groundwater with the Analytical Finite Method Based on Square Grid

This article established groundwater flows differential equation mathematical model of Sanjiang Plain on the hydrology theory foundation, and used the analysis finite element method to liner change the differential equation into the large-scale system of linear equations. It took linear equations as a part of constraint conditions of the optimized model, carried on the groundwater flow status equation and the optimized model the coupling, and carries on the solution with the Lingo software. The results indicated that this local shallow layer groundwater resources were rich and have the big development potential. But recent years water resources disposition was unreasonable and ground water mining quantity was oversized, these caused the region water flux to assume the drop tendency.