同时从能量最小原理出发，用变分的方法推导出几种端值条件，说明它们的力学背景。
Some end value condition derived by variational method in accordance with the least energy loss principle and their mechanical background are also dealt with.
运用变分的方法将遥感水汽的非线性方程线性化，讨论了线性化遥感方程的适用范围。
The nonlinear equation for remote sensing of water vapor was linearized by means of variation method. The effective range of linearized equation is examined.
运用变分的方法将遥感水汽的非线性方程线性化，讨论了线性化遥感方程的适用范围。
The nonlinear equation for remote sensing of water vapor was linearized by means of variation method.
利用能量泛函变分的方法导出了发生弹性失稳的非经典边界条件，得到了失稳的判据方程。
The non-classic boundary condition of the elastic instability has been educed by the energy functional variation analysis. So a criterion equation of the elastic instability can be got.
同时采用对偶方法来避免全变分项的非光滑性和高非线性性。
The algorithm also adopts dual method to avoid the nonsmooth and highly nonlinearity of total variation term.
本文运用赝势函数变分有限元方法数值模拟了绕翼型的跨音速有旋流动。
The variation finite element method (FEM) using the pseudo-potential function was presented for the simulation of transonic rotational flows.
提出了一种可借助于最小敏感性原理求解本征能量的双变分参数的近似方法。
It proposes an approximation method with two variational parameters for finding the eigen-energies by principle of minimal sensitivity.
以二维断面海温分布模型为例，利用海温实际观测数据，将变分伴随方法应用于断面海温初始场的优化。
In this paper the variational adjoint method is applied to the assimilation of the observed data into the sectional distribution of sea temperature to optimize the initial field.
同时，本课程也解释了几种常用的近似方法：WKB方法、变分原理、以及微扰理论。
The course also examines approximation methods: WKB method, variational principle, and perturbation theory.
本文以“修正的变分方法”为基础推导了一种新的飞机壁板结构动力分析方法。
Based on "modified variational method", a new dynamic analysis approach of aircraft panels has been derived in this paper.
在本文的数值试验中，使用了共轭码方法对该上述方案进行了变分同化，提出了构建数值预报初始场的新途径。
In this numeric experiment, adjoint code is introduced into the method for variational assimilation, which brings forward a new way for predicting the primitive field.
应用薄板非线性理论的变分方法求解基本方程，得到了单片碟形弹簧的载荷和变形关系以及应力分布及其计算公式。
By the variational method, the governing equation of the plate non-linear theory is solved, and he relationship between load and deformation of a single spring leaf is obtained.
该算法改变了原算法中非线性滤波的方式，并结合总变分最小化方法对图像进行降噪处理。
This algorithm changes the form of nonlinear filter, and denoises the image by combining with the method of total variation minimization.
研究人口的阻滞增长模型，采用资料变分同化方法及最优控制的技巧，从理论上对模型中的最大人口容量和固有增长率进行最优确。
By using the variation assimilation method and the optimal control method, theoretical analyses of the maximum population capacity and the inherent growth rate for the population model is presented.
求解方法的基础是变分原理。
The foundation of the solving methods is the variational principle.
均值场变分方法是图模型最基本的变分近似推理方法。
The mean field variational method is a basic variational approximate inference method.
给出了分段线性函数族的定义和有关的运算性质，利用这些性质得到直接求解变分问题的一种新的数值方法。
The definition of the Segmental Linear Functions and some operational properties are given. By means of the properties, a new numerical method for direct solving variational problems is obtained.
本文提出了求解摄动问题的一种新方法——变分迭代算法。
In this paper, a novel method called the variational iteration method is proposed to solve perturbation problems.
实例分析表明：变分差分方法对复杂区域具有较强的适应性和较高的求解精度。
The example shows that the variational\|difference method has well adaptability and precision for complex region.
应用变维分形的方法描述了海工结构的几种变形和应力状态。
Several deformation and stress states of offshore structures are described by using variable dimension fractals.
用基于普遍形式的不确定关系之上的变分方法推出了一维谐振子的含有量子数的等式型不确定关系。
Based on the general form of the uncertainty relation, using the variation method, the paper here deduces the equality form uncertainty relation which with quantum number of one - dimensional.
变分多尺度有限元方法中的细尺度解对数值解有着重要的影响，其可通过分析方法或数值方法求得。
The fine scales solution in the variational multiscale finite element method, which can be acquired by analytical or numerical technique, has an important impact on the final numerical solution.
最后讨论了利用全变分方程建立有限元的方法。
Finally, based on the total variational equation, the finite element method of these problems is also discussed.
本文从大气的运动方程出发，利用实测的台风气压场资料和变分调整的方法，计算了进入渤海的台风风场，模拟了台风的不对称结构。
Starting from the motion equations and accepting the technique of numerical variational adjustment, this paper sets up a new model to calculate the typhoon wind field in the Bohai Sea.
结果表明，该方法对于求解各类变系数常微分方程是十分有效的。
The result shows that it is effective for solving ordinary differential equation with variable coefficients.
使用变分方法，推导了这类反应器边界温度控制的必要条件。
Using variational calculus, necessary conditions for boundary temperature control of the reactors have been derived.
本文提出一种用分区变分原理和样条函数相结合的有限元方法，解决组合型旋转壳受力分析问题。
A finite element method using subregion variational principle and spline function in this paper is presented to solve the problem of combined shell of revolution.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。
The partial differential equation of flow in porous medium has been studied with variational finite element method.
文章详细讨论了原油管道瞬变流动的数学描述及有限差分求解方法，并分别分析了对简单管道和长输管道不稳定工况的仿真。
Discussed are the hydraulic transient equations of fluid transient in pipelines and the finite differential solution as well as the practical simulation of short or long pipelines.
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