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The convergence order of the nodal values of the finite element solution exceeds the possible global convergence order.

有限元在节点处的值的收敛阶远远超过其可能的整体收敛阶。

The stability and convergence of the fully discrete solutions are proved and the convergence order is also given.

从数值实验上也验证了该算法的可行性和高效性,对非定常N-S方程提出了一种新的全离散TGM:空间离散用标准FEM,时间离散用Crank-Nicolson格式,证明了全离散解的稳定性与收敛性。给出了收敛阶。

We have known that the finite element solution can get the convergence accuracy order of m+1 in global interval and of 2m in the nodes.

我们已知有限元解在整体区间上能达到m+1阶的收敛精度,节点处能达到2m阶的收敛精度。

There exists convergence speed is slow problem in neural networks. In order to solve the problem of convergence speed, Genetic Algorithm is used to optimize BP nerve network.

3由于神经网络存在收敛速度慢的问题,利用遗传算法对神经网络进行优化以解决神经网络收敛速度慢的问题,仿真结果表明了方法的有效性。

In order to expedite the speed of convergence, reserving the best individual do not take part in the inheritance of the next generation, thus increasing the speed of convergence and enhancing the efficiency to cut down the running time.

为了加快收敛速度,本文采取保留上一代最优个体不参与下一代遗传操作的自适应遗传算法,加快了收敛速度,提高了效率,减少了程序运行时间。

In order to expedite the speed of convergence, reserving the best individual do not take part in the next generation, thus increasing the speed of convergence and enhancing the efficiency to cut down the running time.

为了加快收敛速度,本文采取加入保留上一代最优个体不参与下一代的遗传操作,这样加快了收敛速度,提高了效率,减少机时。

As for the optimization problem, the damped Gauss-Newton Method algorithm is employed for obtaining its solution, and analysis the global convergence of the algorithm, also, the superlinear convergence rate and two order convergence rate of the algorithm is given.

对该优化问题,我们用阻尼高斯牛顿算法求解,并对算法的全局收敛性和超线性收敛速度进行了分析。

So in order to improve the convergence of Ritz vectors, firstly, refining -strategy is applied to the Davidson method in this paper. The process restarts with the refined Ritz vectors as the initial vectors, and then we get the refined block Davidson method. By analyzing the convergence of the new method, we give the theorem of it.

为了改善Ritz向量的收敛性,本文首先在块Davidson方法的执行过程中,运用精化策略,求出相应的精化向量并将其作为初始向量进行重新开始过程,由此得到了精化块Davidson方法,并对精化块Davidson方法进行了收敛性分析;其次,本文将精化块Davidson方法结合收缩技术,提出了收缩的精化块Davidson方法。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上,利用文[3]提出的新想法,得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式,以及导数误差的最佳阶超收敛,并且两者有相同的超收敛结果。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究:首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式,它们在后续给出的极限定理的证明中发挥着重要作用;研究了具有不同分布的NA列的强收敛性,如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性,同时也进一步改进了R。

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