用能量估计法证明了格式的稳定性及二阶收敛性；
The second-order convergence and stability of the scheme are proved with energy method.
利用本文方法所获得的解，无论是位移还是内力可同时有二阶收敛精度。
The displacements and stress resultants obtained by the present method can converge to exact solution and have the second order convergence speed.
该算法具有二阶收敛性，其有效性为文中展示的图像分离测试效果所证实。
The algorithm is two-order convergent, Whose validity is confirmed by effect of the image separation test.
为改进网络学习效率及大范围收敛性，提出了网络权值学习的单调同伦方法，该方法具有与牛顿法相同的二阶收敛性。
To improve the learning efficiency and global convergence we present the monotone homotopy method, which has the same convergence as the Newton's method, to train the weights of the network.
由于搜索方向含有目标函数的二阶信息，提高了算法的收敛速度。
With the two degrees information of the object function in search direction, the algorithm improved the convergence.
给出二阶模糊随机变量和模糊随机变量序列均方收敛的概念，证明了一些相关的性质。
The concepts of second order fuzzy random variables and mean square convergence of sequences of fuzzy random variables are introduced. Some related properties are proved.
第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
这种差分格式虽然只有一阶的局部截断误差，但实际具有二阶的收敛性。
The scheme exhibits global second order accuracy, despite its first order local truncation error.
证实关于二阶增量未知元的惯性流形多重网格算法是收敛的。
The IMG algorithm(Inertial Manifold-Multigrid algorithm)including the second-order incremental unknowns is convergent.
证实关于二阶增量未知元的惯性流形多重网格算法是收敛的。
The IMG algorithm(Inertial Manifold-Multigrid algorithm)including the second-order incremental unknowns is convergent.
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