收敛性的

The stability of algorithm, the condition of absorbing boundary and free surface boundary, the grid dispersion and the process of source are discussed in details. The numerous simulations of wave propagation are carried out in isotropic media, transversely isotropic media and anisotropic media induced by fractures. The difference between anisotropic and isotropic effects on surface records is analysized.

接着讨论了有限差分算子的稳定性和收敛性，以及吸收边界条件、自由边界条件、数值频散和震源的处理，对各向同性介质、横向各向同性介质以及裂隙引起的各向异性介质中传播的弹性波场进行了数值模拟，分析了多波多分量数据中的各向异性效应以及各向同性在地表地震记录中的反映。

The first one is to study how the convergence properties of Newton-type methods change with convergent order. The second one is to study what will infects the computation of the inversion of Jacobi matrix.

本项目对其涉及计算复杂性的几个问题进行的研究，关心的问题是： 1）Newton型方法的收敛性随着阶变化的关系。2）寻找是什么影响着Jacobi矩阵逆的逼近。

By using hybrid projection method,a new iteration sequence of maximal monotone operator with errors is given in Banach space.

在Banach空间中，采用杂交投影的方法构造了带误差项的极大单调映像零点的迭代算法，利用Lyapunov泛函和杂交投影的性质，证明了该算法的强收敛性。

We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal η-monotone mappings and prove the convergence of iterative sequences generated by the algorithms.

为了利用η-极大单调映象的预解算子技巧求解这类广义模糊变分包含，我们建立了一些新的含误差的迭代算法，并证明了由这类算法产生的迭代序列的收敛性。

The idea is to add some lower degree terms in the remainder of orthogonal expansion in an element so that the remainder satisfies more orthogonality conditions in the element, and get a desired superclose funtion uI to finite element solution uh.

简述了有限元超收敛研究的一种新想法，即在单元正交展开的余项中添加若干待定低次项，使此余项在一个单元上满足更多的正交性条件，并得到所需的超接近于有限元解uh的逼近函数uI。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

After that, based on the CVaR optimization model with transaction costs, we simulate smoothly the piecewise linear function in objective function separately, and obtain the continuous smooth CVaR optimization model. As an application, we explain via an example when the smooth simulation model is applied in the big scale investment portfolio choice problems, its convergence and stability has the enhancement comparing with the above linear model.

其次，在带交易费用的CVaR最优化模型的基础上，将模型目标函数进行了平滑模拟，得到连续平滑的CVaR最优化模型，并经过实例说明，对于较大规模投资组合选择问题，经过平滑模拟后的模型其解的收敛性和稳定性较之原模型的解都得到了提高。

Theinitializations both use the cost function with nominal head. Their difference is thatcontinuous function is adopted in successive linear programming while piecewiseapproximation employs the two piecewise linear segment function.

大量计算的结果表明，初始迭代点的计算采用电厂设计水头下的出力 I特性能加快整个模型的收敛性，在逐次线性规划中采用这种方式计算的初始迭代点尤其接近问题的最优点。

Based on the study on how to set the initial population and operational parameter s of operators, a conclusion can be drawn that distribution of the initial population and the selection of operational parameter s of operators directly concerns global convergence and searching efficiency of genetic algorithm.

通过对遗传算法初始种群与操作参数设定问题的研究，认为初始种群的分布状态与算子操作参数的选取直接关系遗传算法的全局收敛性与搜索效率，对初始种群与各操作参数进行合理设定是应用遗传算法进行寻优计算的重要问题。

This paper presents a stability criterion for design iterative learning controller. From the criterion,one can change the design problem into finding a positive definite discrete matrix kernel. It has been shown that what kind of variable can be controlled by the iterative learning,(2) and what kind of filter can be included into the controller.

摘要提出了一种针对自学习控制的稳定性判据，应用这一稳定性判据将自学习控制器的设计转化为寻找正定离散矩阵核，从而回答了两个问题，其一什么样的量可以通过自学习叠代加以控制，其二学习叠代中什么样的滤波环节的引入不会影响学习收敛性。

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。