收敛的阶

In order to get the numerical solution, the paper devises a three hierarchic implicit scheme which eliminates the strict restriction of explicit scheme, thus, it can be used in more areas. By using the energy estimation method, the convergence and stability of the difference scheme are proved and the scheme is second order convergence for time and space.

对求解方程构造了一个三层隐式差分格式，消除了显格式的稳定性对计算步长的严格限制，使之适用范围更广，并用能量估计的方法严格证明了差分格式的收敛性与稳定性，该格式对于时间和空间均具有二阶收敛性。

In this Chapter, we establish convergence theorem by using the majorizing method.

第二章，提出了一族具有三阶收敛迭代法，这族迭代法避免了求F的二阶导数。

We construct an explicit finite difference approximation for the equation by using the equivalence relation between Riemann-Liouville fractional derivative and Grünwald-Letnikovmake fractional derivative.

再利用Riemann-Liouville分数阶导数与Grtinwald-Letnikov分数阶导数之间的等价关系，构造一显式有限差分近似，这一离散格式可以解释为一个随机游走模型，并且收敛于稳定的概率分布。

Under appropriate conditions, we obtain the global and quadratic convergence of the proposed method.

在适当的条件下，我们证明了算法的全局收敛性和二阶收敛性。

Firstly, by adopting the thought of Adomian's decomposition method, the generic dynamic model in mechanical systems are transformed into a standard first-orderdifferential-equations, and then the inverse operator method for the approximate analytic solution of nonlinear mechanical system is developed based on the exact solution in form.

主要研 究工作如下：利用Adomian的分解方法的思想，把机械系统中最一般的动力学模型转化为一阶标准型微分方程组，以形式上的精确解的表达式为基础构造了求解机械系统非线性模型近似解析解的逆算符方法；针对机械系统非线性模型的特点，提出了直接处理高阶方程的不降阶逆算符方法；证明了该方法的收敛性。

For time-varying amplitude PPS in white complex Gaussian noise,the strong convergence of estimates of HAF and the highest order polynomial plase coefficient is proved.

对于复高斯白噪声污染的时变振幅多项式相位信号，证明了其高阶模糊函数样本估计和相位多项式最高阶系数估计的强收敛性质。

The proposed algorithm is convergent to the solution through the solutions of a series of condensation trust region subproblems. It is proved that the method is globally convergent and that the convergence rate is quadratic.

算法通过求解序列压缩信赖域子问题来获得原问题的最优解，并具有全局收敛性和局部二阶收敛速度。

Aimed at one order system, a way to design the optimal weights associatedwith edges of undirected graph composed of multi-agent systems is presented.

本文针对如何提高一阶群体系统和高阶群体系统的收敛性和时滞鲁棒性问题分别给出了解决方法。

In this paper,the problem of the rate of uniform convergence in the normal approximations of the Von Mises Statistics will be considered.

本文讨论了Von Mises统计量向正态逼近的一致收敛速度问题，在核函数仅满足二阶矩条件下，给出了上述收敛速度的上、下界，所得结果改进了 [2 ]中相应结论

The above problems are studied in this thesis. First, the implicit NND scheme with mix flux splitting method proposed by Zhang Hanxin that is first order accurate in time and second order in space is modified. The modified scheme keeps the characteristics of fast convergence and is second order accurate both in time and space. It can be capable of simulating the unsteacly flow. Second, the topological method founded by Zhang Hanxin is improved to study the characteristics of vortex near the singular point on its axis and the cross streamlines on the longitudinal section passing the vortex axis. On the basis of topological results, a program which visualises numerical results is made out. It can help us analyse the characteristics of vortex motion.

本文对上述问题做了研究：第一，在数值模拟方面，借助于张涵信提出的NND算法和混合通量法，我们将他建立的时间为一阶、空间为二阶精度的快速隐式算法推广为时间和空间均为二阶精度的算法，这样做保留了原格式收敛快的特点，而且能适用于真实的非定常流态的计算；第二，将张涵信的拓扑分析方法加以推广，研究了涡轴附近及破裂点邻域内流场的空间特征，并以这些拓扑分析结果为指导，研制了一套显示计算结果的软件，这一软件能很好地帮助我们分析流场的计算结果和旋涡演变的特征。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。