高阶特征线性及其与semi-Lagrangian方法的比较

特征线性与semi-Lagrangian方法都是处理流体方程时间离散的两种有效的方法．它们比经典的半隐格式，如Backward-Euler／Adams-Bashforth方法有更好的稳定性．本提出一种基于高阶空间离散的特征线法，通过稳定性，精度和计算复杂性与semi-Lagrangian方法进行比较，分析了高阶特征线法的有效性和适用性，并从数值试验上对分析结果进行验证．     

Theoretical Analysis of Characteristics of GaxInl—x NyAsl—y／GaAs Quantum Well Lasers with Different Intermediate Layers

Based on the band anticrossing model, the effects of the strain-compensated layer and the strain-mediated layero n the band structure, gain and differential gain of GalnNAs/GaAs quantum well lasers have been investigated. The results show that the GaNAs barrier has a disadvantage in increasing the density of states in the conduction band. Meanwhile, the multilayer quantum wells need higher transparency carrier density than the GalnNAs/GaAs single quantum well with the same wavelength. However, they help to suppress the degradation of the differential gain. The calculation also shows that from the viewpoint of band structure, the strain-compensated structure and the strain-mediated structure have similar features.     

高应变率下U-Nb合金的断裂组织特征

利用内部爆炸加载方法对U-Nb合金进行爆破试验，对爆破试验产生的破片进行回收，并对U-Nb合金破片进行一些微观检测分析，从而初步研究在爆炸加载下U-Nb合金的微观断裂机制。     

Theoretical Calculation of Rotational Bands of ^179Pt in the Particle-Triaxial-Rotor Model

Theoretical calculations have been performed for nucleus ^179Pt in the particle-triaxial-rotor model with variable moment of inertia. The obtained energy spectrum agrees with the experimental data quite well. The calculated results indicate that the bands 1/2^- and 7/2^ are triaxial deformation bands and originate mainly from the v[521]1/2^- and v[633]7/2^ configurations respectively.     

Viscosity Characteristic in Metallic Melts with Medium／Short-Range Order Structures

Viscosities and liquid structure of alloys Cu75Al25, Cu87Sn13 and Al-12.5%Si and pure metals Cu and Sn are investigated by using torsional oscillation viscometry and high temperature x-ray diffractometry. The viscosities of pure metals and eutectic alloy melts along with the short-range order structure are found to follow the Arrhenius law in a wide range of temperature above the liquidus. The breakpoints in Arrhenius plots emerge when the structures of alloy melts are transformed from the medium-range order structure to the short-range order structure. It has been found that the change of the viscosity of the metallic alloys is a characteristic of microstructure transformation in the related melts.     

非线性控制系统的最小实现

对于那些由代数微分方程描述的具有输入输出关系的非线性控制系统，本文采用两种方法讨论了其最小实现问题：一种方法是直接计算系统的特征列；另一种方法则采用了本原元定理．两种方法给出的最小实现所需的状态变量最小数目是相等的．文中的大量代数与微分运算则可利用数学机械化来完成     

线性常微分方程组解的特征数的估计

复数域上线性系统ｘ＝Ａ（ｔ）ｘ，当Ａ（ｔ）＝（ａｉｊ（ｔ））ｎ×ｎ具有（ｎ，Ｎ，ｒ） 差异性质且ｒｎ时，解的特征数ｊ有估计λｊ－ｌｉｍｔ→∞１ｔ∫ｔｔ０Ｒｅａｊ（τ）ｄτｎ－１ｒ＋１－ｎｌｉｍｔ→∞１ｔ∫ｔｔ０Ａ（τ）ｄτ，ｊ＝１，２，…，ｎ，其中Ａ（ｔ）＝ｍａｘ｛｜ａｉｊ（ｔ）｜：ｉ，ｊ＝１，２，…，ｎ，ｉ≠ｊ．｝     

Helmholtz方程外边值问题的自然边界元法

本文利用Ｆｏｕｒｉｅｒ展开获得了圆外区域上的Ｈｅｌｍｈｏｌｔｚ方程边值问题的Ｐｏｉｓｓｏｎ积分公式和积分方程，并用Ｇａｌｅｒｋｉｎ法求积分方程的解，导出了刚度矩阵元素的计算公式，讨论了数值技术，给出了变分解的唯一性定理和近似解的误差估计。     

特征向量法建模与理论

本文从矩阵理论的角度，介绍特征向量法(亦称特征根法)建模过程中所遇到的理论问题。     

边界衍射波理论公式的准确性数值分析

利用数值分析的方法分析了由边界波理论公式所得的圆形光阑衍射场的光强分布.通过对边界波理论公式所得的光强分布曲线,对几何照明区与阴影区的光强分布曲线与面衍射积分公式所得的光强分布曲线进行比较,分析了边界波理论公式对衍射场描述的准确性.