查询词典 variational

To variational inequalities with separate structures, the thesis presents a descend method based on the alternating directions method, and some numerical results demonstrate that the new method is effective in practice.

对于结构可分的变分不等式，本文在交替方向法的基础上提出了一种下降方法，并给出了相应的算法收敛性证明与数值试验结果。

This paper presents the new bound theorems in structural limit analysis developed on the basis of the generalized variational principle. The approximate limit factors determined from the new bound theorems are closer to the exact limit factor than the ones obtained from the classical bound theorems.

本文给出在极限分析的一般变分原理[1]的基础上发展起来的极限乘子的新的上、下限定理[10]，由这个新的上、下限定理决定的极限乘子的上、下限比经典的上、下限定理给出的更为靠近准确解。

The general infinite dimensional modal system describing liquid nonlinear sloshing is derived first by pressure integral variational principle. After selecting two dominating modes and three secondary modes based on the Narimanov-Moiseev third order asymptotic hypothesis, the infinite dimensional modal system is reduced to a five dimensional asymptotic modal system.

首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统，然后根据 Narimanov-Moiseev三阶渐近假设关系，通过选取二阶主模态和三阶次模态，将无穷维模态系统降为五维渐近模态系统。

Using time-series analysis such as autoregression and fast Fourier transformation, total variational activity of breathing can be

这种回馈控制的作用，就像许多生物回馈机转一样，会产生一些可以预期的为表现。

Firstly, using strategy of introducing associated auxiliary equation to a givenpartial differential equation without admitting Lagrangian, we make the extendedequations possess a variational principle. Based on this, the concepts of extendedconservation law and extended symmetry to given partial differential equationare put forwarded.

首先，我们给出了引入伴随方程扩充原方程的策略，使给定偏微分方程的扩充方程组具有对应泛函，即称为Lagrange系统的方法，以此为基础提出了作为偏微分方程传统守恒律和对称概念的一种推广—偏微分方程扩充对称和扩充守恒律的概念；其次，先给出以得到的Lagrange系统为基础，利用N？

Keywords : variational theory, variable-independence, consistency , formalization, Axiomatic System of Variation, Formal System of Variation

进一步，我们发现，在鹫井久一郎、钱伟长和罗恩的工作中明示的或隐含的有关变量独立的"传统"的理解隐含着矛盾 [6， 9-11， 14]。

In this paper We study existence of solutions of variational inequalities in a reflexive Banach Space,and acquire several existence results.

本文研究自反Banach空间中的变分不等方程解的存在性，得到了存在性的几个结果。

Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题，定义Sobolev空间的多分辨分析，用小波–伽辽金方法进行数值求解，两组基下得到的系数矩阵为七对角阵和块状对角阵。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

Still based on Ciarlet-Raviart mixed variational principle, this section gives the mixed finite volume element scheme for biharmonic equation on rectangular partition.

综合有限元方法及有限差分方法的优点，李荣华教授于二十世纪八十年代初提出了广义差分方法，亦称为有限体积元方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。