查询词典 variational equation

In chapter 4, we compute the symmetry group, variational symmetry group, divergence symmetry group of some operator equation.

在第四章中计算了一些偏微分算子方程的对称群，变分对称群以及散度对称群。

In this paper,the artificial parameter perturbation method and variational iteration method have been applied to nonlinear differential equation with power nonlinearities.

应用人工参数法和变分迭代算法，求解了具有分数阶非线性的一阶常微分方程。

A variational formulation is constructed from the famous Gelfand-Levitan equation to reconstruct the scattering potential.

从著名的Gel＇fandLevitan方程出发，本文构造了一个重建散射位势的变分公式。

In the end, we built a model of the 4-D variational data assimilation for a barotropic primitive equation based on GA and compared with the adjoint assimilation model.

同时，以正压原始方程组为例建立了基于遗传算法的变分同化模型，并从多方面与伴随模式变分同化系统进行了分析比较。

In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

By theory says, the variational principle and the Schrodinger equation are equal.

从原理上讲，变分原理与薛定谔方程等价。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

Hybrid Dynamic; time-varying systems; finite horizon; optimal control; Quasi-Variational Inequality; viscosity solution; lower semicontinuous solution; uniqueness; Dynamic Programming; Viability Theory; inventory systems; mathematical model; proximal subdifferential; parabolic equation; nonlinear boundary

基础科学，数学，控制论、信息论混合动态；时变系统；有限时间；最优控制；拟变分不等式；粘性解；下半连续解；唯一性；动态规划；生存定理；库存系统；数学模型；邻近次微分；抛物型方程；非线性边界

Image restoration ; image inpainting ; image completion ; variational method ; partial differential equation; total variation ; texture synthesis

图像复原；图像修补；图像补全；变分方法；偏微分方程；全变分；纹理合成

In this paper we describe formulations and develop fast algorithms for implicit surface reconstruction based on variational and partial differential equation methods.

本文中描述了一种基于差分和偏微分方程的重建隐式曲面的快速算法。

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。