数值稳定性

Stability of 14 high-cut slopes in Guangdong province is analyzed with typical rock mass structure analysis method and stereographic projection method, and with the numerical simulation method UDEC this paper simulated the excavation and reinforcement courses of the important slopes. Some conclutions and suggestions are based the analysis above.

本文结合广东某省道沿线14个高陡岩石边坡的开挖和支护方案的选择设计，运用常用的岩体结构分析方法和赤平投影方法对边坡的稳定性进行了分析，采用UDEC数值模拟方法对一些重点边坡的开挖支护进行了模拟，得出了以下一些结论： 1、边坡支护形式的选择应遵循"安全绿色、水土保持、恢复自然、环保之路"的设计原则。

In order to study the stability of stratified rock slope in Zhu-Cheng road and its reinforcement method, the potential deformation and slipping mechanism of slope were analyzed using insitu-investigation and stereographic projection analysis method. The numerical calculation model for stratified rock slope was founded with UDEC software. The deformation of rock mass was analyzed in the excavation procedure, and the long-short compound bolt reinforcement structure was proposed according to the deformation failure mode of stratified rock slope.

摘 要：为了研究竹城公路层状岩质边坡的稳定性及防治措施，通过现场调查和赤平投影分析边坡潜在变形滑动机理；利用UDEC软件建立层状边坡数值计算模型，分析开挖过程中岩土体的变形情况；根据变形破坏模式提出层状岩质边坡的长短锚杆交替复合支护结构。

Especially, the stochastic variable was introduced to the model to represent the phenomena of the stochastic extinction and recolony of the cocal population, that is one of the typical feature of the metapopulation.

这是一个离散的动力系统。利用动力系统稳定性和数值分析的方法，分析了种群变化的动态规律及其原因。其次，通过引进随机变量，很好地描述局域种群的灭绝和繁殖的随机现象。

There are strong convergence and reliability properties for these algorithms, so they are widely used in many fields.

中文摘要：信赖域方法是非线性优化中一类重要的数值计算方法，它具有良好的收敛性和稳定性，因此在许多领域都有广泛的应用。

Trust region method is a class of important numerical algorithms for nonlinear optimization. There are strong convergence and reliability properties for these algorithms, so they are widely used in many fields.

信赖域方法是非线性优化中一类重要的数值计算方法，它具有良好的收敛性和稳定性，因此在许多领域都有广泛的应用。

The critical bifurcation parameter intervals of superharmonic periodic impact motions are deduced, and numerical simulations are used to verify the results.

本论文讨论了碰撞振动系统的周期碰撞运动，得到了超谐周期碰撞运动的存在性和稳定性，推导出亚谐周期运动的临界分岔参数区间，并利用数值模拟进行验证。

In tailrace tunnels of Baise Hydropower Station, a transient mixed free-surface-pressure flow may occur, which has a complex effect on the stability and transient of the power plant, so it is needed to build a reasonable and feasible mixed free-surface-pressure flow numerical model.

百色水电站运行时，尾水隧洞中有可能出现明满交替流动而使尾水系统对电站运行的稳定性和过渡过程都带来复杂的影响，因此建立合理可行的明满交替流动数值模型是完全必要的。

High order symplectic schemes of three-dimensional time-domain Maxwell's equations are constructed with symplectic integrator technique combined with high order staggered difference. The method is used to analyzing stability and numerical dispersion of high order time-domain methods and symplectic schemes with matrix analysis and tensor product.

利用辛积分技术与高阶交错差分技术，建立求解三维时域Maxwell方程的高阶辛算法；结合电磁场中的物理概念，借助矩阵分析和张量分析理论，获得高阶时域方法及高阶辛算法的稳定性和数值色散性的统一处理新方法。

Spatio-temporal symmetry-breaking of temperature field in a small spatially distributed Lindemann unimolecular chemical reaction-diffusion-heat conduction system was studied by means of linear stability analysis, bifurcation analysis, and computer numerical simulation.

运用线性稳定性分析、分支分析和计算机数值模拟手段研究了小尺度空间展布、伴有扩散和热传导的Lindemann单分子化学反应体系的温度场时空对称破缺。

The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.

为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。