N维最弱受约束电子势模型的精确解

精确地求解了N维最弱受约束电子势模型束缚态的Schrodinger方程,得到了其能级和相对应的归一化径向波函数.在此基础上,运用广义拉盖尔多项式的级数展开得到了N维最弱受约束电子势模型径向矩阵元的通项表达式.     

非可换的奇异l-群

通过建立奇异元以及奇异l-群的刻划，研究了一般非可换的奇异l-群的性质及相关的结构．     

Advection of axisymmetric interfaces by the volume-of-fluid method

A criterion is proposed for the advection of axisymmetric interfaces. The location of an interface is followed by a volume-tracking technique wherein a volume fraction parameter is assigned to each of the cells in a Eulerian grid system. The interface is discretized into a set of line segments fitted at the boundary of every pair of neighbouring computational cells. The orientation of a line segment is obtained by inspecting the volume fractions of two neighbouring cells. The volume fractions are then advected using the velocity components at the boundary of the two cells. The following advection criterion is proposed: for advection in the axial direction the axial velocity u is assumed constant in the vicinity of each cell face; for advection in the radial direction the radial velocity v times the radial distance r is assumed constant in the vicinity of each cell face, i.e. r^βv = const., where β = 0 for Cartesian and β = 1 for axisymmetric systems. The above criterion is used to develop an algorithm for the advection of axisymmetric interfaces which is referred to as the ‘axisymmetric flux line segment model for advection and interface reconstruction’ or A-FLAIR.     

塔里木盆地植物区系的研究

塔里木盆地位于欧亚大陆腹地．该区自然环境独特，植被呈紧缩型分布．植物区系组成贫乏，种子植物１０５属１６５种。分隶３５科，多属于温带成分．特有成分比例较高．生活型以地面芽植物占优势，植被具有温带荒漠的特殊属性．本地区植物区系形成于第三纪．主要来源于华夏植物区系，是华夏植物区系向本地区发展，并在独特环境中蜕变的结果，其中有部分是从本地的荒漠环境中发展起来的．同时还存在古地中海及安哥拉区系成分．区系植物中既有第三纪的种，也有第四纪的种，即在第三纪形成荒漠植物区系，第四纪由于气候进一步变干燥，植物的耐旱适应又有新的发展．     

表面弛豫效应对界面区域CBED的影响

对Al_2O_3颗粒增强铝复合材料与K_2Ti_5O_(13)晶须增强铝复合材料中的增强相/金属界面区域点阵位移场进行CBED研究,并对其进行电子衍射动力学理论模拟计算,结果表明:表面弛豫效应对晶须/铝界面法线方向上位移分量大小的分布影响显著,而对界面切线方向上位移分量的影响很小。这一结果对于解决CBED法测量界面应变场时遇到的表面弛豫效应问题是有意义的。     

工程场地的特征与工程地质分区

工程场地与城市在空间尺度上相去甚远 ,但工程场地所具备的与环境行为相近的共性 ,使其属性分析可以推广应用到城市建设所面对的整个工程地质环境。从这一意义上说 ,工程场地是整个城市宏观工程地质环境的微观单元 ,众多微观单元的组合构成了环境的宏观总体。为此 ,工程场地的三大属性———特性、适宜性、稳定性 ,可以作为城市工程地质环境分析中分析方法的基础。从工程场地分析推广到城市工程地质环境分析 ,还将有助于保证城市工程地质环境分析的定量化水平。     

The construction of some efficient preconditioners in the boundary element method

The discretization of first kind boundary integral equations leads in general to a dense system of linear equations, whose spectral condition number depends on the discretization used. Here we describe a general preconditioning technique based on a boundary integral operator of opposite order. The corresponding spectral equivalence inequalities are independent of the special discretization used, i.e., independent of the triangulations and of the trial functions. Since the proposed preconditioning form involves a (pseudo)inverse operator, one needs for its discretization only a stability condition for obtaining a spectrally equivalent approximation. This revised version was published online in June 2006 with corrections to the Cover Date.     

能动抛光磨盘的有限元法分析

 能动磨盘在光学抛光时随磨盘移动位置和旋转角度不同而产生不同的变形以实时与大口径被抛光工件表面实现良好的吻合。模拟了能动磨盘的工作过程，探讨了用于光学抛光的可行性。以加工直径1.5m，f1/2的抛物面光学元件为例，用有限元法对能动磨盘能够产生的变形进行了仿真计算，结果表明能动磨盘能够以较高精度产生旋转对称或非对称的二次曲面。     

有机层界面对双层有机发光二极管复合效率的影响

建立了双层有机发光二极管中载流子在有机层界面复合的无序跳跃理论模型.由于有机分子材料的空间及能带结构的无序性，采用刚体模型处理有机层界面问题是不恰当的，而采用无序跳跃模型比较合理.复合效率及复合电流由载流子跳跃距离、有机层界面的有效势垒高度及该界面处的电场强度分布所决定：在双层器件ITO/α-NPD/Alq₃/Al中，当所加电压小于19.5V时，复合效率随着载流子跳跃距离的增加而增加，而大于19.5V时，复合效率随着其距离的增加而减少；复合效率随着有机层界面有效势垒高度的增加而增加； 关键词： 有机层界面 双层有机发光二极管 复合效率 有效势垒高度 无序跳跃模型     

Optimal promotion planning—depth and frequency—for a two-stage supply chain under Markov switching demand

In considering the retailer–supplier supply chain, this paper analyzes how a retailer reasonably decides both the depth and frequency of the price discount promotion including or excluding a supplier’s inventory decision. Assuming that the promotion frequency used by the retailer is probabilistic, we model a promotion-inventory decision under an AR(1) demand with a Markov switching promotion regime. After obtaining the optimal promotion plan, our analysis also considers the behavior of the optimal promotion decision; the retailer’s price format selection, either an Every-Day-Low-Price policy (EDLP) or a Promotion policy (HiLo); and the impact of information sharing of promotion status on the system’s performance. Our results suggest that a retailer tends to overpromote if inventory cost is excluded in its promotion decision, that increasing the market share is a preferable action for both the retailer and the supplier, that total margin and price-elasticity play an important role in selecting the price format, and that the profitability for a supplier of sharing promotion information depends on the transition probabilities of the Markov switching regime.