查询词典 discretization error

In chapter 4, using a space discretization and employing the method of induction, we prove that there exists a unique global regular solution for homogeneous Neumann boundary value problem of one-dimensional Landau-Lifshitz equation.

第四章，首先我们利用空间半离散方法及先验估计得到了一维Landau-Lifshitz方程齐次Neumann边值问题局部正则解的存在性，继而在整体先验估计的基础上证明了整体正则解的存在性与唯一性。

After a series of study of numerical method related to impact dynamics, such as the transient finite element discretization method of conservation equations, numerical quadrature and hourglass control, the identification and redefinition of sliding interface and so on, the dissertation is aimed at to study a high efficient.

在分析八节点六面体单元出现沙漏变形的物理原因的基础上，通过引入抗沙漏节点力消除了因单点积分引起的各种沙漏模态。

Delta operator is a new discretization method.

Delta算子是一种新的离散化方法。

To avoid the present of pseudo-wave caused by the discretization of near-surface layer, an orthogonal polynomial expansion method has been developed to study the acoustic waves propagating in metals with continuous changes of near-surface elastic properties.

用一个适当阶数的多项式来表示表面层的弹性性质沿厚度方向的空间分布，这能够很好的反映其表面性质到未受影响下层性质的连续分布。

An improved semi-discretization method based on Magnus-Guassian truncation was presented for analyzing the stability of periodic orbit of the DDEs.

对该动力学模型进行稳定性分析，可以确定稳定的铣削参数域及稳定性图。

A discretization equation is derived by using a finite volume method in three-dimensional cylindrical polar coordinate system.

对单相螺旋流流场数值求解的基本方法与有关问题进行了分析。

The essence idea of restoration based on Total Variation is that translate the problem into minimum of energy functional with TV regularization, then the Partial Differential Equations are got from the principle of variation, finally after discretization the optimal resolution with the numerical methods is obtained.

基于整体变分的图像恢复概括的说就是把图像恢复问题形式化为带有整体变分正则化项的图像能量泛函极值问题，采用变分原理将其中的最小化问题转为所要求解的偏微分方程，即Euler-Lagrange方程，利用数字图像本身的离散特征使用适当的数值方法来求它的最优解，最后达到逼近原始图像的目的。

A novel quadratic penalty function based discretization algorithm for Newton optimal power flow is presented.

摘 要 提出了一种新的基于正曲率二次罚函数的最优潮流算法中离散控制量的处理方法。

This section further presents three kinds of computation schemes, which are discretization schemes based on linear interpolation, locally quadratic interpolation and mixed quadratic and cubic interpolation.

吴微在[21]中使用三角剖分及外心对偶剖分给出了解双调和方程的基于Ciarlet-Raviart变分原理的混合广义差分法，理论分析部分采用了[26]中的有关思想。

In the second chapter, generalizing the contractilities and asymptotical stabilities for multi-delay integro-differential equations. Under proper stepsize, we obtain the discretization schemes of Runge-Kutta methods with the compound quadrature formula and the Pouzet quadrature formula, and besides, derive the global and asymptotical stabilities. Moreover, the numerical experiments show that the presented methods are highly effective.

第二章，考虑了多延迟情形下的积分微分方程，推广理论解的收缩性与渐近稳定性结果，在适当的步长下，利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法，获得离散的计算格式，并且证明了方法是数值稳定的，此外，数值试验表明此计算方法在实际应用中是非常有效的。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。