In the paper we introduce and study the explicit scheme of lagrangian multi- plier domain decomposition method dependent on time.
引言 近年来，一类新的区域分解法－非匹配网格区域分解法，日益引起人们的广泛兴趣。
As for contact and collision problems, constraint conditions on velocity imposed by collisions are established first, and then they are incorporated into the Hamilton's Principle after introducing a Lagrangian Multiplier, from which equations of motion considering collisions can be formulated. After integration over time interval, it results in solving the equations of motion in impulse in the final analysis. And the numerical properties employing Newmark difference formula are also discussed in this paper.
针对接触碰撞问题，本文首先建立碰撞对速度的突加约束条件，然后引入拉格朗日乘子，应用哈密尔顿原理导出考虑碰撞的结构动力方程，最后归结到求解冲量形式的动力方程，并对采用Newmark差分格式求解时的数值特性进行了讨论。
In order to study the transitions between quarks, we integrate out the effective antiquark fields and get a form of effective Lagrangian in terms of effective quark fields.
为方便描述正夸克间的跃迁过程，将上一步得到的有效拉氏量中有效反夸克场积分出去，从而在拉氏量中仅明显包含有效正夸克场。
Then, using the program FLAC-3D of fast Lagrangian analysis developed by Itasca Consulting Group, Inc.
开发的三维快速拉格朗日分析程序 FLAC-3D，以小湾拱坝为例说明了其在拱坝稳定分析中的应用。
A complete non-compact Calabi-Yau manifold and its special Lagrangian fibration are constructed.
找到了一个非紧致的Calabi-Yua流形及它的一个特殊拉格朗日纤维化的结构。
Through analyzing the tide-induced Lagrangian residual current, current field and pollutants'concentration distribution features, it is found that the two are strongly related to each other in Bohai Bay: the structure of tide-induced Lagrangian residual current affects pollutants'distribution features and the variation in residual current field due to topography change also causes changes in the features of pollutants'concentration distribution.
Lagrange余流结构影响了污染物的分布特征，新旧地形下余流场的改变也导致了污染物浓度场分布特征上的变化。
This paper briefly introduces the principle of Lagrangian element method.
简要介绍了拉格朗日元法的原理。
Six, the basic principles of numerical simulation methods and Lagrangian are introduced.
介绍了数值模拟方法及其拉格朗日元法的基本原理。
To analyze the stress and deformation of 3-D spatial beams by large rotations in 3-D space by using the updated Lagrangian descriptions and moving coordinate iterative method, a new co-rotational procedure is studied. Iteration procedures are developed by introducing of the pseudo-vector concept and using the mathematics and elasticity theories.
为了能利用修正的Lagrangian法及带有动坐标的迭代法来分析三维空间大转动梁的受力和变形，研究了三维空间大转动梁的共轴转动机理，引入了伪矢量的概念，严格地应用数学和弹性力学理论导出了相关的公式，给出了迭代过程。
The pseudo-vector coupling Lagrangian between the nucleon and the π-meson is non-renormalization, in other words the theoretical infinitude can not be subtracted by adding finite counterparts to the Lagrangian.
我们先将π介子的赝矢耦合的自能进行正规化，然后将其无穷部分直接去掉，只保留其有限的部分。
One method employs the meson self-energy, another method employs the renormalization group The interaction Lagrangian between the nucleon and the π-meson has two forms, one form named pseudo-scalar coupling, another form named pseudo-vector coupling.
用介子自能方法计算π介子的有效质量，π介子和核子的相互作用拉氏量是赝矢耦合，具有不可重整性，即不能通过在拉氏量中添加有限项将理论中的无穷大去掉。
By using the fast Lagrangian analysis of continua in 3-dimensions (finite element analysis software-Flac3D), taking the fragmentation chamber of Dongguashan copper mine as an example, one dynamic load is applied on the above boundary of the chamber model, the dynamic response of the surrounding rock is simulated and calculated. We observed the influence of the intensity of dynamic load to wall rock of chamber to get the distribution of stress and plastic area of it in different time by loading the peak value of dynamic.
利用三维快速拉格郎日法（Flac3D有限元分析程序），以冬瓜山铜矿某破碎硐室为实例，在硐室围岩模型的上边界施加动力载荷，以模拟外界动力扰动对硐室围岩稳定性的影响，再通过加载峰值，来考察动载强度对硐室围岩的影响，得出了硐室围岩在不同时刻的应力和塑性区分布情况。
The semi-Lagrangian methods need interpolation algorithms to predict the value of successive time steps. For water vapor, it might be supersaturated or negative, requiring special treatment to solve this problem.
半拉格朗日法需要用到内插算法来预测下一时刻的值，对于水汽场的内插值来说，常常会造成预报值的过饱和或者是负值，需要进行特殊处理。
Given that U is to be maximized subject to the constraint of XPx + YPy + ZPz +…= I, the method of the Lagrangian multiplier may be employed.
要在XPx + YPy + ZPz +……= I的约束下求U (X，Y，Z，……)的最大化，可以运用拉格朗日乘数法来求解。
By the study of pseudoscalar meson chiral Lagrangian in QCD, we develop certain useful techniques and experiences which we can generalized to other fields, for example, the investigation of electroweak chiral Lagrangian.
通过赝标介子手征拉氏量的QCD研究，我们发展的计算方法与获得的经验完全可以推广到诸如电弱有效拉氏量等其它领域的研究上去。
Review our previous work on formally derive the chiral Lagrangian of low lying Octet pseudoscalar mesons from the first principles of QCD.
本文首先以QCD为背景，介绍了Gasser-Leutwyler的手征拉氏量理论，然后回顾了从QCD出发形式推导赝标介子手征拉氏量的工作。
We then construct a gauge invariant, nonlocal, dynamical quark model, generalize the Schwinger proper time method to regularize the fermion determinant, investigate the contribution of the model to the coefficients in pseudoscalor mesons chiral Lagrangian.
进而建立了一个规范不变，非定域的动力学夸克模型，推广Schwinger proper time正规化方法，研究了该模型对赝标介子手征拉氏量中系数的贡献。
Discussed extensive and intensive properties, derived various forms of the Reynolds Transport Theorem to express Lagrangian rates of change of extensive properties in an Eulerian framework.
讨论内含与外延性质，推导雷诺运输定理的不同形式来表达在欧拉架构下的外延性质的拉各朗日变率。
Chapter 1, based on Pareto optimality or called efficiency, extends the con-cepts of convex conjugate functions and subdifferentials etc., which are usedcommonly in the duality theory of nonlinear programming, to the case ofmulti-dimensional point-to-set maps with some domination structure, devel-ops D-Ω conjugate maps and D-Ω subdifferentials theory ofmulti-dimensional point-to-set maps, and by means of this theory, putts for-ward and studies a duality theory of multiobjective set-valuedprogramming——D-Ω conjugate duality theory for efficient solutions, in which, the corresponding weak, strong and inverse duality theorems are dis-cussed and proposed, and the saddle-point result for the generalizedLagrangian called D-Ω Lagrangian is given.
本文第一章就非线性规划对偶理论中广泛采用的凸共轭函数和次梯度等概念作了极有意义的推广，基于Pareto最优性或称有效性推广到了带有优势结构的多维点集映象的情形，建立了多维点集映象的D—Ω共轭映象及D—Ω次微分理论，并由此提出和研究了一种多目标集值规划问题的对偶理论——基于有效性或称关于有效解的D—Ω共轭对偶理论，讨论了相应的强、弱、逆对偶性等问题，并就推广的多维D—Ω拉格朗日式给出了多目标情形的鞍点结果。
Eulerian-Lagrangian Method can prevent the dispersion while lower the diffusion, but its diffusion is still considerable, so it is necessary to be further improved.
欧拉-拉格朗日方法虽然能消除频散，且耗散比较小，但仍然存在一定的耗散，所以有必要进一步改进。