查询词典 variational

In Chapter 2, some new convergence and stability theorems of the Ishikawa iterative procedures with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach space are proved.

第二章在实自反Banach空间中，证明了增生型变分包含解的具误差项的Ishikawa迭代程序的一些新的收敛性定理和稳定性定理。

Image segmentation ; active contour model ; variational calculus ; level set methods ; additive operator splitting scheme

图像分割；活动轮廓模型；变分方法；水平集方法；可加算子分裂算法

The formal solution of partial differential equations is given on characteristic line, the existence of the optimal control is proven by using Ekeland\'s variational principle, Gronwall Lemma and adjoint system, then the necessary condition of optimality is obtained by means of the conception of normal cone.

用特征线法表示出偏微分方程的形式解，利用Ekeland变分原理，Gronwall引理和共轭系统证明了最优控制的存在性，并借助于法锥概念得到了最优控制的必要性条件。

Spectral methods and the classical Crank-Nicolson scheme are applied to deduce the full discrete system for the continuous model, then the variational adjoint assimilation approach is used to derive the gradient and the corresponding adjoint system.

从这个全离散问题出发，结合全局或局部已知的观测数据，分别构造梯度下降算法求解相应的最优化问题。我们分析了采用不同方法计算梯度所需的代价，另外，还给出一种选择最优迭代步长的算法。

We give the fundamental solution of adjoint transport equation and take it into variational form.

给出伴随输运方程的基本解，再将其带入变分形式中，对关于空间和角度的两个积分进行化简。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

A variational alternating method which is suitable for studying three dimensional finite cracked solid is given by this paper.

本文给出适用于三维含裂纹有限大体的变分交替方法。此方法的奇次步骤系以文献[10]为基础。

The improved variational-perturbation method based on integral equation (variational-integral perturbation method) is applied to solve the quartic anharmonic oscillator in the ground state.

利用基于积分方程的改进的变分微扰方法求解四次方非谐振子基态。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

The variational form of the governing equations is given on the basis of the extended Hu-Washizu three-field variational principle.

基于胡海昌-Washizu三变量广义变分原理结合特征线法给出了控制方程的单元弱形式。

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。