数值稳定性

The PSE in the curve coordinate systems are solved by the numerical techniques developed efficiently in this paper. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. The finite-difference of governing equations with fourth-order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations.

对于曲线坐标系下的抛物化稳定性方程，文中发展了求解的高效数值方法：引进法向变换，使得在临界层与壁面之间的扰动量变化最快的区域有更多的法向网格点；导出包含边界邻域在内的完全四阶精度的法向有限差分格式，这对方程精确离散至关重要；采用全局法和局部法相结合的方法及其新的迭代公式，大大加速收敛并得到更精确的特征值。

The main environment geological question is: The earth"s crust where the faultage and earthquake are active is unstable; collapse , landslide, mud-rock flow and soil erosion ; The underground karst subsides, seepage question; Basic rock expand, expend and compress soil body, the salt deposit corrode out of shape and groundwater"s corrodent harm; The soft soil question of basin; The soft rock body, cracked rock and the weathering rock are relatively poor stability; High and cold regional highways and railways" frozen soils freeze and melt calamity problem; The around rock of tunnel are unstable because of the coal seam gas, spring water, underground developed area; Project cutting slopes, constructed abandon soil and reservoir, lake"s ecology geological environmental protection issue; Thedangerous shoal of the channel % submerged reef question; The problem of rebuilding channel project and dock etc.; And the problem of unstable ground and groundwater corrosivity during building airport; At the same time, with the international big pathways" implementation and completions of constructions, adjusting the cities and counties" constructions , the crowd occupy changing , the cultivated land distribute changing and the adjustments of structure, will cause local environmental geological issues outstanding; According to multiple statistical analysis , value calculate and integrated appraise result, in the northwest and southwest of Yunnan, the traffic relatively low density, traffic engineering is relatively weak impact on environment, It is the area where a environme

主要的环境地质问题是：活动性断裂、地震带的地壳不稳定；崩塌、滑坡、泥石流及水土流失；地下岩溶塌陷、渗漏问题；基础岩体膨胀、胀缩土体、含盐层侵蚀变形和地下水的腐蚀危害；盆地软土问题；软弱岩体、碎裂、风化岩体稳定性较差；高寒地带公路、铁路建设的冻土冻融灾害问题；煤层瓦斯、涌水、地下采空区等隧道围岩不稳定问题；工程切坡、施工弃土及水库、湖泊生态地质环境保护问题；航道险滩、暗礁问题；渠化工程、码头等库岸再造问题；以及机场建设中的不稳定地基及地下水腐蚀性问题；同时，随着大通道建设的实施和完成，城镇建设的调整、人群居落的变化和耕地分布及结构的调整组合，都可能造成局部环境地质问题的突出等等。经多元统计分析数值计算、综合评价结果，滇西北、滇西南地区交通密度较低，交通工程对环境的影响程度较弱，是环境地质状况好的区域；有主要高原湖泊分布区的，包括昆明、个旧、文山的滇东南区域，环境地质状况较好；大姚、楚雄、篙明及会泽、昭通一镇雄的区域，即滇中北部中生界红层和滇东北岩溶区，环境地质状况中等；而包括保山、德宏、大理、临沧的滇西地区及景东一墨江以东、双柏一石屏一河口以西及东川一寻甸一曲靖地段的滇中一滇东地区，环境地质状况较差。云南国际大通道建设涉及全省区域，如何利用地质环境、实现可持续发展，就必须依赖于国际大通道建设与地质环境之间良性关系的建立。应本着对区域地质环境客观存在的科学认识原则、建设过程中环境效益优先的可持续发展原则、法制性原则、对大通道建设中环境地质的因地制宜及其可防治性原则。并且从组织管理、不同类型大通道、不同环境地质问题类型等方面，提出了对策措施。最后，提出了建立国际大通道建设与环境地质良性关系的宏观建议。

Furthermore, a Maple program is designed to verify the validity of the autocorrelation.(2). Based on Whiteman\'s generalized cyclotomy, new binary generalized cyclotomic sequences of order 2~k and length pq are constructed.

构造了一类平衡的新的六次剩余序列，分别利用多项式分解理论和迹函数表示确定了该类序列的线性复杂度和极小多项式，给出了序列的自相关函数值并编制Maple程序验证该结果的正确性，讨论了序列的稳定性。

Here the deriver' self-equilibrium velocity denotes the deriver' desired equilibrium velocity accompanying that the traffic flow is in the equilibrium state. Consequently the adaptive flux model like Navier-stokes traffic equation is derived from the extended Paveri-Fontana equation. Characteristics and the linear stability are analyzed. Numerical solution of the macroscopic traffic equations verifies rationality of our model.

把适应性公式和约化Paveri-Fontana等式结合得到扩展的Paveri-Fontana方程，通过使用Chapman – Enskog方法导出类Naveri-Stokes 方程的适应性交通流模型；通过线性稳定性分析，得到了适应性交通流模型的稳定条件；通过对算例的数值分析与其它连续性模型和交通实测数据的对比，验证了我们模型的合理性。

In calculation, the diamond shaped difference schema has been used to get the precision and stability.

数值计算中采用了五点菱形差分格式，达到了较好的精度和稳定性。

The weight values in NLSM were adjusted automatically according to target data, which allowed the measured data with different dimensions or ranges to be treated at the same level, and thus the accuracy and stability of algorithm were improved accordingly. Derivative was replaced by the difference quotient in NLSM which further improved the algorithm speed.

非线性最小二乘法的权值根据目标数据自动调整，使得不同量纲和不同数值范围的观测数据可以在同一水平上进行，提高了计算的精度和稳定性；另一方面用差商近似代替导数加快了算法的收敛速度。

Numerical experiments show that the new algorithm is more effective in realizing the high convergence speed, convergence precision, reducing the convergence algebra and good at keeping the stability of the adaptive genetic algorithm.

数值实验表明：新算法在提高收敛速度和收敛精度、减少收敛代数方面效果显著，稳定性也有所提高。

Eigenfunction of the coefficient matrix is used to analyze the stability of ordinary differential equations, so that the developing ...

还讨论了控制方程的稳定性对数值方法的重要影响，并得到步长的取值范围。

And the computational analysis result has been verified through the electrobath and test method. Based on the above-mentioned research work, the 1000 kV standard capacitor has been designed and manufactured.

利用理论分析、数值计算以及试验研究的结果，设计并研制了1000kV标准电容器，并对该标准电容器进行了有关型式试验，电容稳定性、介质损耗、工频耐受电压等技术性能指标均达到同类产品国际先进水平。

In simulating a two-dimensional Poiseuille flow and a driven cavity flow on an equilateral triangle ,numerical accuracy and stability of the schemes are discussed.

通过二维Poiseuille流和等边三角域上空腔流的模拟，讨论了这3种格式的数值精度和稳定性。

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。