加速广义Laguerre多项式级数的Laplace变换的数值反演方法

本文利用Levin t-变换迭代法，对加速广义Laguerre多项式级数，提出了一种新的Laplace变换的数值反演方法，这种方法在精度上和数值稳定性上的效果都较好。     

土壤养分位与广义氧化还原电极电势

 根据广义氧化还原理论,给出了土壤溶液中NH₄⁺,P,Ca等养料成份的广义氧化还原电极电势。与养分位比较,用广义氧化还原电极电势来量度土壤养分有效度具有较多的优越性。     

Boundary-fitted grid in landscape modeling

Landscape modeling requires the delineation of system boundaries and interior features. Quite often, these components are complex and difficult to accurately represent. A rectangular grid is used to represent the study and adjacent non-study areas in most cases. When the non-study area occupies a large portion of the grid, computer memory is wasted, and computational time increases. An elliptical grid generator for non-orthogonal curvilinear coordinates is used to generate a boundary-fitted grid for a landscape model. In a boundary-fitted grid coordinate system, one coordinate axis follows the landscape domain boundary and is non-orthogonal to the second axis. The boundary-fitted grid uses elliptic partial differential equations to distribute grid points inside the landscape domain. Although the boundary-fitted grid follows the domain boundary, the grid pattern and point allocation remain structured. Thus, a landscape model can use a boundary-fitted grid without changing the model’s data structure or the computational scheme. In this study, a boundary-fitted grid and a raster-based grid were applied to the Everglades Landscape Fire Model. Use of the boundary-fitted grid decreased model simulation time by about one fifth and computer storage by 58% relative to the raster-based grid. Also, the linear characteristics of interior geographical features such as rivers and airboat trails were preserved by the boundary-fitted grid, but not by the raster-based grid. This preservation provided a more reasonable base map for simulating ecological processes, such as fire across heterogenous landscapes.     

电导法测定林木种子活力的研究

本文研究了林木种子电导法测定条件和测定电导率或相对电导率,通过回归分析建立电导率或相对电导率与种子活力指数的相关方程,找出了电导法测定林木种子活力的方法。     

三阶时滞泛函微分方程解的渐近性

本文讨论一类三阶时滞泛函微分方程解的渐近性质,给出了若干解的有界性及解趋于零的判定准则.     

广义连续格的结构

以上（下）子格为工具建立广义连续格的诸结构定理，它们奠定这些格的完全链表现的基础。     

拟M—阵和广义M—阵

在椭圆型偏微分方程数值解法中，经常遇到Ｍ－阵与Ｓｔｉｅｌｔ－ｊｅｓ－阵，本文进一步拓广Ｍ－阵的概念，并研究它们的性质及其在线性方程组迭代解法中的作用。     

二阶拟线性椭圓型Euler方程组解的Pohozaev型恒等式及其应用

本文对于二阶椭圆型Euler方程组 -∑D_αF_(q_α~i)(x,u,Du)+F_(ui)(x,u,Du)=0得到了一些积分恒等式,利用这些恒等式证明了某些方程组非平凡解的不存在性。     

新疆森工技术进步贡献份额的测算

新疆森工企业是新疆林业的重要组成部分。森工技术进步率是全面考核林业综合水平的重要指标之一。本文根据新疆森工统计资料，首次采用增长速度方程、综合要素生产率指数、总因子生产率指数三种模型测算了新疆森工技术进步贡献份额（１９８１年到１９８６年）。结果表明，新疆森工年均技术进步率在０．５％～０．５２２％之间，技术进步对森工总产值增长的贡献份额在３４％～３６％之间。