The approximate solution is proved effective by comparing with numerical result.
通过与数值解结果的比较，说明近似解是有效的。
Point that we not only find the approximate solution by using the perturbation method, but also can find the precise solution.
认为电场中带电谐振子用定态微扰的方法不仅可以求近似解，也可找到其精确解。
Using the resolvent operator technique, we obtain the approximate solution to a system of set-valued quasi-variational inclusions.
利用预解式算子技巧构造了一类求变分包含逼近解的迭代算法，并讨论了由此算法产生的迭代序列的收敛性。
A new flow rule was recommended, and it offered a new way for obtaining the approximate solution of the ultimate load with the theorem.
并建议了一种新的流动法则，对应用定理求极限荷载的近似解给出了新的解题思路。
The finite element method is obtains the approximate solution according to the variational principle and the discretization the method.
有限元法是根据变分原理和离散化而取得近似解的方法。
The comparison with the exact solution shows that the approximate solution is sufficiently accurate for practical application in most cases.
与精确解的比较表明，在大多数情况下的实际应用是足够精确的近似解。
The collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
配置法是以满足纯插值约束条件的方式，寻求算子方程近似解的方法，且具有无需计算数值积分、计算量小、收敛阶高等优点。
The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity.
并证明了如下结论：用这个方法得出的近似解，当阶梯数趋于无穷时趋于真解。
Generally, we choose some appropriate iteration methods to solve the large sparse matrix linear equation system to get the approximate solution of the PDE usually.
在求解大型线性方程组时，人们经常选用合适的迭代方法求其近似解。
Then using the approximate solution as initial value of iteration, the nonlinear equations for the closest point of collapse are solved directly by Newton-Raphson method.
然后采用牛顿-拉夫逊法直接对最近电压崩溃临界点模型所构成的非线性方程组进行迭代求解。
The approximate solution to the nonlinear differential dynamic equation of a swing is derived by using another simple method, which is very suitable for discussing in class.
用另一种方法导出了秋千非线性动力学微分方程的近似解，很适合课堂讨论。
The approximate Solution and curve fittings of critical depth of round and U-shaped section canal by applying an equivalent square coefficient method were presented in this paper.
本文应用等面积系数法提出了圆形和U形断面临界水深的一种直接计算公式。
Aimed for the main resonance of plate, mainly discussed the main resonance stability in hot-machine load, Obtained the approximate solution of the main resonance system, and the numerical calculation.
针对板的主共振问题，主要讨论了板在热-机载荷作用下的主共振稳定性问题，求得系统主共振的近似解，并进行数值计算。
Knowing the salinity of ocean water and the approximate volume of water, he calculated the amount of salt already held in solution in the oceans.
知道海水的盐度和大致的水量之后，他计算出了海水中已经存在的盐的量。
For each approximate solution of a parameterized problem, the app also displays the margin of error.
对于每一个参数化问题的近似结果，这个程序也会显示误差的边界。
The model downloaded to a smart phone finds an approximate solution for a new set of parameters by reference to the precomputed solutions.
这个模型会被下载到智能手机上，通过引用预先计算好的结果来找到一个对应新的参数组的近似结果。
They and gauss-lobatto collocation points can be utilized to approximate the solution of these problems in this paper.
他们和高斯-罗贝多共位点被用来逼近本本论文中所提及的一些问题。
This paper presents an approximate solution of instantaneous temperature distribution of the headstock.
本文就机床主轴箱的瞬态温度分布提供一个近似解。
A new algorithm derived from Chebyshev polynomials is presented for the approximate analytic solution of infinite-time linear-quadratic optimal feedback control law for time-delay systems.
给出了用切比雪夫多项式方法，求时滞系统的无穷时间线性二次型反鐀控制律的近似解析解的新方法。
Firstly, the approximate analytical solution of a local domain is derived.
首先求出了局部区域的近似解析解。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
An approximate solution dealing with the singularity is proposed.
提出了一种处理奇点问题的近似解法。
In this paper, the approximate explicit solution of optical output power for P-doped cascaded Raman fiber lasers was acquired by linear model.
利用线性模型求出了级联掺磷拉曼光纤激光器各级光输出功率的显式近似解。
We lay emphasis on the process of obtaining this information. such as the mathematical model and its hypotheses. the mathematical theorem and approximate solution.
本文中介绍了该提取方法得出的过程，使用的物理模型及假设，数学原理及近似解法等。
We have made initial researches on the diffuse approximate solution for stable axisymmetric heat transfer problems.
对轴对称稳态热传导问题的弥散逼近数值解作了初步研究。
In the first chapter, concepts and their relevant knowledge about the optimal control, approximate optimal solution and stability are introduced in the chapter.
第一章，简要地介绍了本篇论文中所涉及到的最优控制，近似最优解和稳定性的概念和相应的基础知识。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
Based an STURM method, this paper designs an algorithm, by which a gener-al C-program for the real root approximate solution of higher equation.
本文根据STURM定理设计了一个算法，按这一算法编写了一个求高次方程所有实很近似值的C语言程序。
The optimal approximate solution of this inverse eigenvalue problem also was given by means of the polar decomposition of matrices.
利用矩阵的极分解，导出了逆特征值问题的最佳逼近解。
The optimal approximate solution of this inverse eigenvalue problem also was given by means of the polar decomposition of matrices.
利用矩阵的极分解，导出了逆特征值问题的最佳逼近解。
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