ALE中的重映算法

介绍了二维非结构网格上的守恒重映算法，重点是基于SFB／DC思想的通量重映算法。用统一的公式表示不同的单元量重映算法，包括原始的贡献网格法、Barth—Jespersen方法、最小二乘法，不同算法间的区别体现为梯度求法的差异。对于交错网格上速度的重映，介绍了SALE和HIS算法。此外，为保证重映算法的有界性，引入了修补方法。     

High Resolution and High Sensitivity Measurement of Methane at 1.51μm

The high-resolution absorption spectrum of CH4 at 1.51μm is observed by direct absorption spectroscopy technique with a White absorption cell. Multi-peak fitting technique is adopted to reveal line positions and line intensities of CH4 from 6608cm^-1 to 6625 cm^-1. Special attention is paid on the determination of the line positions, and the accuracy is better than ±0.002cm^-1. A minimum measurable absorption of 2.1×10^-8 （3σ） has been achieved based on the measured direct absorption spectroscopy.     

金属接触电势差的最小能量解法

利用系统平衡时的能量取极小值的条件，讨论了两金属的接触电势差问题，求出接触电势差与费米能的关系。     

客观赋权法指导下的部分权重信息多属性决策方法研究

提出了一种客观赋权法指导下的部分权重信息的多属性决策方法 ,该方法将决策者主观给出的部分权重信息和客观实际相结合 ,既充分利用了客观信息 ,又以最小偏差的形式尽可能满足决策者的主观愿望 ,达到两者的统一 .最后通过具体的应用实例验证了该模型的可行性 .     

SUPERCONVERGENCE OF LEAST-SQUARES MIXED FINITE ELEMENT FOR SECOND-ORDER ELLIPTIC PROBLEMS

In this paper the least-squares mixed finite element is considered for solving secondorder elliptic problems in two dimensional domains. The primary solution u and the flux er are approximated using finite element spaces consisting of piecewise polynomials of degree k and r respectively. Based on interpolation operators and an auxiliary projection,superconvergent H^1-error estimates of both the primary solution approximation uh and the flux approximation σh are obtained under the standard quasi-uniform assumption on finite element partition. The superconvergence indicates an accuracy of O(h^r 2) for the least-squares mixed finite element approximation if Raviart-Thomas or Brezzi-DouglasFortin-Marini elements of order r are employed with optimal error estimate of O(h^r l).     

热成像系统的空间和温度分辨极限

从辐射传递理论出发，运用空间分辨和温度分辨的概念，分析了热成像系统的对给目标背景的极限分辨距离和望远镜头的选用准则，最后对给定系统进行了计算。     

自由变温下的药物稳定性的数值计算

介绍了自由变温下的药物稳定性问题的一种新算法,以最小二乘法为理论基础,以A IC准则确定拟合多项式的次数,利用数学软件M ATHEM ATICA,用N IN TEGRATE函数取代传统的辛普森数值积分.程序运算结果表明:计算简单,运算量小,与室温留样结果吻合较好.