数值稳定性

According to Oseledec multiplicative ergodic theory and singular boundary theory, the conditions of local and global stability were acquired.

为了研究随机因素对经济系统稳定性的影响，建立了系统可靠性函数和首次穿越时间概率密度函数，并结合初始条件和边界条件得到了数值结果。

For the American put option and binary option which do not have analytical solution, we propose algorithms based on explicit scheme and implicit difference scheme and then

对不存在解析解的美式看跌期权和两值期权分别给出了显式、隐式差分算法，并对格式的相容性、稳定性、收敛性进行了分析。数值实验结果表明这种方法是有效而实用的。

They are:1 design and implementation of nonlinear least Square Algorithm,2 design of general formula expositor,3 design and implementation of software encryption scheme and4 making of help files system.

数值实验表明：设计的算法具有极高的计算精度，也有较好的全局收敛性与稳定性，明显优于SPSS等软件，不仅可以处理小残量问题，而且能够处理大残量或非线性程度较高的问题，对于线性回归，可以一步达到精确的结果，使线性问题和非线性问题很好地统一起来。

LES cooperated with the second order full extension ETG finite element method is applied to simulate three typical problems concerned with convection heat transfer with sufficient experimental data. By comparing the numerical results with the experimental results, LES is proved to be of better accuracy and stability when it is used to solve the problems concerned with convection heat transfer. The time history of the flow field and temperature field can be reflected better, and abundant information of the fields can be obtained. Furthermore the details of the change in the vortex structure can be captured.

应用大涡模拟与二阶全展开ETG有限元离散格式相结合的方法对具有实验基础的三个典型对流换热问题进行了数值模拟，并将模拟结果与相应的实验结果进行对比，证明了大涡模拟应用于对流换热问题中具有较高的稳定性和精度，能够较好地反映流场和温度场的时变过程，提供丰富的温度场和流场信息，捕捉流场中旋涡结构的变化细节，尤其适合于边界形状复杂的区段内含有大尺度各向异性涡的流动和换热问题的计算。

The structural flitter added to the system can reduce the coupling effect of servo system and structure mode and increase the flutter velocity.

通过数值模拟发现，伺服系统会降低原有气动弹性系统的稳定性，结构陷波器的引入可以减弱伺服系统和结构模态的耦合。

The sufficient conditions for achieving synchronization of this fractional differential system are derived by using the stability criterion of fractional linear equation.

用三种不同的方法考虑分数阶Lorenz混沌系统的修正投影同步，基于分数阶线性方程的稳定性理论给出了实现同步的几个充分条件，数值模拟说明了所给方法的有效性。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

In Chapter 3, considering fractional relaxation equation, we make use of directlythe Grunwald-Letnikov definition to discrete fractional derivative, obtain a numericalmethod of fractional relaxation equation,and give the proof of consistency ,conver-gency and stability.

第三章对于一个推广到分数阶的松驰方程，直接利用Gru¨nwald-Letnikov分数阶导数定义进行离散，得到分数阶松驰方程一个数值方法，并给出了相容性，收敛性和稳定性的证明。

The stability analysis of the analytic and numerical solutions of the general nonlinear impulsive differential equation is considered.

考虑了一般的非线性脉冲微分方程，对该方程进行了解析解和数值解的稳定性分析。

Numerical analysis method of stability of nonlinear generalized system is studied.

目的 提出一种采用数值分析的方法解决非线性广义系统的稳定性问题。

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。