数值的

Took Chongqing Gong-he tunnel as an engineering example and studied the failure mechanism of surrounding rock and the correlation with bolt support system by using the methods of theoretical analysis, modeling test, numerical simulation and in situ test, some helpful conclusions were arrived as follows.Firstly, a new failure criterion for transversely isotropic rock mass was proposed with consideration of bedding plane orientation and major principal stress, and the corresponding algorithm, arrived through VC++6.0, can be easily embedded into the software FLAC3D for the geotechnical calculation.

论文在国家自然科学基金专项基金创新群体基金项目(No.50621403)以及国家自然科学基金重点项目"隧道与地下空间工程结构物的稳定性与可靠性(No.50334060)"的资助下，以共和隧道为示范工程，运用理论分析、物理模型实验、数值模拟和现场测试等手段，对共和隧道大埋深段层状岩体的围岩变形破坏机理、锚杆支护力学效应及围岩-支护结构的变形特征等内容进行了研究，其主要研究成果有：①在总结和探讨国内外学者提出的层状岩体经验型连续介质破坏准则基础上，结合层状岩体力学特性，考虑层面方向和最大主应力方向两个影响因素，提出了共和隧道层状岩体横观各向同性破坏准则；采用汇编语言VC++6.0实现了横观各向同性弹塑性本构关系的算法，并嵌入FLAC3D有限差分数值分析软件接口中实现数值运算。

It shows that a remarkable advantage of the symplectic methods applied to the Schrodinger equation is the precise preservation of charge conservation law. In order to study the numerical stability, we also adopt the different time step sizes.

为了比较，我们还给出了同阶的非辛算法的数值模拟，从而得到辛摄动配置算法和其在理论上等价的辛龙格-库塔方法在数值上的等效性以及辛算法在数值计算中的优越性。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

Using a one--dimensional differential thermocline model, we simulated the temperature and thermocline of Yellow and Bohai Sea.

本论文建立了黄渤海环流的三维斜压模式，进行了黄渤海三维环流的数值模拟研究，另外，用一个温跃层一维微分模式对黄渤海的温度及跃层现象进行了数值模拟，最后，建立了一个黄渤海温度及环流的数值模式。

In this paper,a three dimensional elastic plastic hydrodynamical numerical method and the code MEPH3D using this method which can be used on high speed impact problems are introduced.

介绍一种可用于高速碰撞问题数值模拟的三维弹塑性流体动力学数值计算方法，以及应用该方法研制的应用软件MEPH3D，并给出了一些高速碰撞问题的数值计算结果，计算结果表明该程序具有计算三维高速碰撞问题的能力。

In this paper,the power coupling efficiency of semiconductor laser passing through a collimating system is discussed.

在长距离无线光通信中，接收点光功率密度与光束发散角平方呈反比关系，为了获得小的发散角和大的功率耦合效率，要求准直系统有较大的数值孔径，但数值孔径过大会增加像差，因此合理设计功率耦合效率与准直系统的数值孔径就非常重要。

Secondly, based on the abstract and assignment decomposition of the entities included in the URWE, the Agent model of the URWE entities such as pollutionenterprise、 governor and water body was built, and combined with the theory of drainage basin water pollution control and decision-making, the assignment allotment and frame design of the Agent included in the URWE was made in detail, the theory foundation was established to achieve the URWEIDSS based on Agent.

再次，分析了现有城市河流水质数值仿真所存在的不足，提出了基于Agent的城市河流水质数值仿真模型，并基于这种城市河流水质数值仿真模型，提出了采用模块化、拖拉式的方式进行城市河流水质仿真的方法。

Furthermore the numerical flux from the Riemann solver is delicately expressed in a compact manner, say by the well known Godunov flux function, which paves the way to full investigation of numerical approximations.

由上述的Riemann解所提供的数值流通量经仔细验证后可以被简洁地表示为Godunov流通量的函数值，这为研究一般意义下的数值逼近铺平了道路。

A brief introduction of numerical manifold method,a new analysis tool of rock engineering ,is given first in this paper.

阐述数值流形法的基本原理，介绍数值流形法在岩体工程中的几个应用实例，并对数值流形法的特点及其在岩体工程中的应用前景进行简要评价。

The polynomially fitted values of the molar heat capacities and fundamental thermodynamic functions of the sample relative to the standard reference temperature 298.15 K were calculated and tabulated at an interval of 5 K.

通过热容多项式方程的数值积分，得到了这个化合物的舒平热容值和相对于298.15 K的各种热力学函数值，并且将每隔5 K的热力学函数值列成了表格。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。