查询词典 variational method

Key words: applied mathematics; forth-order difference equation; discrete variational principles; periodic solution

关键 词：应用数学；四阶差分方程；临界点理论；周期解

image processing ; partial differential equation ; variational principle ; level set

源于变分原理的偏微分方程方法，是将所研究的图像处理问题归结

It is equivalent to solve differential equation for under water explosion. The modes of velocity potential function and movable boundary are chosen, then, a variational equation system is derived by REDUCE procedure on computer.

在此基础上，选取了流场及运动边界的模态，将泛函对选定的自变函数变分，并取驻值；用REDUCE语言由计算机推出变分方程组。

Further I make use of the conclusion to solve a storage problem, get an optimal control policy between storage and need, and give the corresponding numerical results.And we also discuss the key word that dissolve this kind of problem: the construct and analysis of variational equation.

本论文的主要工作时对原问题的费用函数进行了扩展，使其归结到一类更广泛的函数上去，从而拓宽了其应用；并且将得出的结论引入存储问题，得到储量与需求间平衡的最佳效益模型的最优控制策略，并给出相应的数值结果。

Under the new boundary conditions related to viscous fluid, the variational equation of beam bundle fluid-solid coupling system related to viscous fluid is reached.

3在流体有粘的假设下，本文为随后的数值分析做了一些基础性的工作，在有粘流体相应的边界条件下，得到了粘性流体下管束流固耦合系统的变分方程。

Use Maltab variational parameters lorenz equation...

利用Maltab求解变参数lorenz方程，在非线性动力学和混沌研究中经常遇到类似的问题。

Based on the two phase anisotropic model this paper analyses and presents the dynamic equations of elastic wave propagation, the Galerkin variational equation, and the finite element equation in two phase anisotropic media.

基于双相各向异性介质模型，首先推导了双相各向异性介质中弹性波传播的动力学方程及其Galerkin变分方程和有限元运动方程，然后给出了孔隙弹性波方程的有限元数值解法以及二维双相PTL介质中波场模拟的人为吸收边界条件。

This paper deals with the existence and multiplicity for one elliptic problems with p-Laplacian and an asymptotic linear equation by variational methods, especially the Mountain pass Lemma.

本文主要利用变分法，特别是山路引理研究了一类P阶Laplace方程和渐近线性椭圆方程解的存在性及多解性。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先，我们在鞍点的充分小邻域内给出系统在适当的变换下的更加精确的表达形式，利用未扰系统沿同宿，异宿环的线性变分方程的基本解组作为系统在同宿，异宿环的小管状邻域内的新的局部坐标系。

A variational study on the propagation equation of bright soliton-like pulse under the influence of the fifth-order nonlinearity in optical fiber.

刘文军。五阶非线性作用下光纤中类明孤子运动方程的变分研究。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。