数值稳定性

The model was solved by the Ritz method, and the orthogonal polynomials generated by the Gram-Schmidt process were employed as admissible function for both disk and blades. With this approach, the matrix derived from kinetic energies becomes diagonal and numerical manipulation can become easy and stable.

采用Gram-Schmidt方法生成正交多项式作为李兹容许函数进行模型的离散化，简化了所得到的频率方程求解过程，有利於求解过程的数值稳定性，并可方便地通过对方程系数性质的分析了解结构振动模态的性质。

Mathematical models algorithmization can realize easily through choosing corresponding models and computer language.

在算法实现过程中，选择数值稳定性高、误差可以控制、计算工作量少和尽可能节省内存空间的算法。

This composite model is free of artifical compressiblity, easy to be implemented on distributed systems, and has good numerical stability.

该复合模型有效地克服了可压缩效应，容易在分布式并行计算机系统上实现，并且具有较好的数值稳定性。

Barycentric Lagrange interpolation collocation method is of numerical stability and high accuracy.

重心Lagrange插值具有数值稳定性好、计算精度高的优点。

Using barycentric Lagrange interpolation to approximate unknown function, the explicit formulations of element of differentiation matrix are constructed.

重心Lagrange插值具有数值稳定性好、计算精度高的优点。

The impacts of material spatial variability were usually not considered in traditional slope stability analyses. However, most geotechnical materials are usually not uniform inside a slope. Thus, traditional ways of analyses were not very reasonable. On the other hand, most geological explorations used vertical borings. Horizontal and inclined borings were seldom performed unless required by the client.

摘要 传统边坡数值稳定性分析时，大多没有考虑到材料空间变异性之影响性，材料无论在理论上或是在实际边坡上很少边坡为均质材料，因此传统的边坡分析是种较为不合理的现象，而地质钻探时都是以垂直钻探为主，除试验需要外，极少以水平或倾销钻探作为设计之基础，这也与现地所需有关系，导致空间变异性资料难以取得必需以现地资料加上文献中提及的尺度变动作为分析依据。

A second order accurate, high resolution scheme, called WSUC scheme, has been proposed. This scheme is total variation bounded and unconditionally stable in the sense of convective numeral stability.

提出了一种具有二阶空间精度的WSUC格式，对它的精度、总变差有界性和对流的数值稳定性进行了分析。

To validate the model, the numerical simulation is performed for three cases: the wind driven circular flow, the dam-break wave on initial dry bed and the tidal flow in estuary of the Yangtze River. Results show that the model can accurately simulate the 3-D flow structure, and has good numerical stability.

封闭水池内部风生环流、干河床上溃坝过程和长江口实际潮流场的模拟从不同侧面展示了模型的特点，结果表明它能够准确地预测水流的三维流动结构，而且计算简单高效，具有良好的数值稳定性。

Radau collocation method has high accuracy and good numerical stability.

该算法具有计算精度高、数值稳定性好等特点。

Furthermore,singular value decompositionis applied in the calculation of the covariance matrix of the formulas of Kalman Filter.

同时 ，在卡尔曼滤波计算中，将奇异值分解应用于卡尔曼滤波的递推公式中，提高了协方差阵计算的数值稳定性。

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。