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In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中,对连续性方程采用全隐式差分方案以保证数值稳定性;运用雅可比迭代法求解差分方程组,并且在求解过程中,只对差分方程组系数矩阵中的非零元素进行处理,因此减少了对内存的需求量,而且缩短了计算时间。

A finite difference method is derived for the analysis of time domain electric field integral equation of thin wire-structures.

针对时域电场积分方程的矩量法求解过程的繁琐及算法的时序推进稳定性不好等问题,提出了一种有限差分法求解时域电场积分方程的方法。

Then the relation between Wp and Np can be obtained by solving the linear formula through integral.

提出了将该线性表达式积分求解,就能得到Wp与Np的三次多项式关系式,并结合大庆油田北一二排西区块详细说明了求解过程

It is difficult to solve the optimal iteration step and Lagrange multiplier in the gradient optimal power flow solutions. The saddle node iteration method was applied to solve the above problems based on a certain supposition.

在梯度法最优潮流的求解过程中,确定不等式约束的拉格朗日乘子以及求取最优步长等比较困难,文中在采取一定假设的基础上,运用鞍点迭代算法进行上述问题的求解。

While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of Lagrange submanifold in the symplectic space.

本论文的工作作为国家自然科学基金地震波传播与成像项目(NO.40174032)的一部分,得到如下结果:论文分析了利用Maslov方法求解非均匀介质中波动方程高频近似解的基本原理和求解过程,构造了介质系数只在一个方向变化时波动方程高频近似解的通用计算公式。

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

讨论了在系数矩阵可逆的前提下,如何用初等变换的方法直接求解矩阵方程,使求解过程更简化,同时给出一般线性方程组的初等变换直观解

In addition to, we emphatically introduce the multilinear separation of variables, and we expound the general solving process about it, else I solve the variable separation solution of the system about DS correlating the process.

另外还重点介绍了多线性分离变量法,对多线性分离变量法的一般求解过程作了阐述,还结合步骤具体求解了DS系统的分离变量解。

Numerical method for solution of the model is given out.

在模型建立后,推导了模型的数值求解方法和求解过程

First, for the reduction of the solving scale of the scheduling problem, on the basis of the defined scheduling characteristics—resource conflicting probability, all operations of the scheduling problem are divided dynamically into two kinds in the scheduling process: the first kind of operations with greater probability of the resource conflict, and the second kind of operations with less probability of the resource conflict.

首先,在遗传算法迭代求解过程中,为降低调度问题的求解规模,基于所定义的调度特征量——资源冲突可能性,将所有操作动态划分为资源冲突可能性较高的操作和资源冲突可能性较低的操作,分别直接和间接参与染色体编码。

On the basis of the results of survey and study about researches of pulse well test at home and abroad, the method of total pressure history match and numeric solution is selected as an advanced research, the goal is to investigate a method of pulse well test in theory and analysis under the conditions of no knowledging about the changing tendency of formation pressure and having outer boundary.

根据对国内外关于脉冲试井研究情况的调研结果,本文选择全压力史拟合方法和数值求解方法作为一个探索性研究课题,将有限元法应用于压力的数值求解过程,目的是探索一种在地层压力变化趋势不清楚和有外边界的条件下的脉冲试井理论和分析方法,从而为油田提供结果更准确的、信息更丰富的开发调整依据资料。

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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。

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