模拟结果与微扰理论和平均球近似积分方程理论的预测值进行了比较。
The simulated results are analyzed and compared with those predicted from perturbation theory and integral equation theory under mean spherical approximation.
本文通过引入两相流区压力和比容之间的一阶近似式，获得该问题的一阶近似积分解。
In the work, an one order approximant for the mapping between the pressure and the specific volume in two phase regime was presented by Taylor series expansion.
在闭路连续积分中取涨落二级近似，得到临界动力学的拉氏场论表述。
The Lagrangian formulation of the critical dynamics is recovered in the second order approximation of fluctuations in the closed time path continuous integral.
本文依据积分中值定理给出了适宜于实验计算的积分平均值的近似公式，并举例加以说明。
This paper gives some approximate formulas of the integral average value for experimental calculation on the basis of the integral mean law. Examples are given for explanation.
分别应用平面近似法和积分方法推导出在散心爆轰的数值模拟中，人为粘性系数和空间步长之间的匹配关系。
The matching relation between the viscosity and the mesh size was obtained using planar approximate method and integral method in the numerical modeling of divergent detonation.
在近似计算中常要考虑积分与积分和的误差。
The error of integration and integral sum are often considered in approximation and(calculation).
将响应面方法计算的位移对设计变量的敏度与莫尔积分方法的近似显式进行了对比。
The sensitivity of displacement with respect to design variables was compared to the approximate explicit form given by Mohr integration.
通过计算两个简单的积分值，可近似表示菲涅耳单缝衍射的相对光强。
The relative intensity of Fresnel single-silt diffraction can be expressed approximately by means of two simpler integrals.
采用正态分布积分曲线的近似公式计算概率格纸的坐标，并在屏幕绘图。
Coordinates of a normal probability paper are calculated with a approximate formula of normal distribution integral curve and drawn on screen.
当用积分方程法分析桩和其它地学工程问题时，这些公式可以用作一近似的基本解。
These formulae can be used as an approximate basic solution when the integral equation method is employed for the analysis of piles and other geotechnical engineering problems.
提出了一种计算宽光谱间隔的普朗克函数积分值的简单近似方法。
A simple approximate method for calculating the values of integration of the Planck function over broad spectral intervals is presented.
本文推广和改进了定积分近似计算的矩形公式。
In this paper, we extend and improve the rectangle formula of definite integrals 'approximate calculation.
提出直线逼近齿廓曲线近似求解该齿轮刚度的能量积分法。
The energy integration method is also put forth to solve stiffness approximately by linear approximating the tooth profile curve.
本文对于矩形区域上某一内点为奇点的奇异积分的近似计算给出了优化中心数值算法，它在迭代计算过程中避免了函数值的重复计算。
This paper presents an optimum numerical algorithm of center rule for the approximate evaluation of singular integrals over rectangular domains with a inner singularity.
对于定积分近似计算中常使用的经典SIMPSON求积公式介绍一种新的简洁的证明方法并给出误差的最佳估计。
We introduced a new and simple proof of the classical SIMPSON quadrature formula which is frequently applied in calculating definite integrals and best estimation of error is obtained.
纵倾修正是根据船舶首尾吃水差采用面积积分或复合辛普生方法近似计算体积修正量。
Trimming correction is a way of using the area integral or Simpson to calculate the volume correction value.
在合理的近似下，通过在动量表象中计算路径积分，较为方便地求出了。
In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space.
利用模式搜索法求取了一个新的温度积分近似式，给出了相应的估算动力学参数的方程。
A new approximation for temperature integral is proposed by using pattern search method. The corresponding equation for the evaluation of kinetic parameters has also been obtained.
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 collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
借助于型参数，通过变换动量积分方程，得出动量损失厚度近似解的表达式。
By type factors and transitional momentum integral equation, the approximate expression of momentum thickness is presented as well.
为适应毛细管的工程设计要求，在绝热毛细管积分近似模型的基础上，提出壅塞流动下绝热毛细管长度的近似解析解。
With requirements of designing an adiabatic capillary tube in engineering, an approximate analytic solution to the tube length derived from the approximate integral model is developed.
处理孔缝边界时，用级数展开和积分方程得到金属拐角处电磁场的近似解。
For dealing with the electromagnetic fields near edges, an approximate scheme is developed using the series expansions and integral equations.
并将多孔介质中地下水运移近似看作布朗运动，引入伊藤随机积分研究地下水运动规律。
Also, approximately viewing the groundwater migration in porous media as Brown movement, the laws of groundwater movement being studied by introducing Ito stochastic integral.
同时，由透射光场的格林函数积分得出了基尔霍夫近似下光场的表达式。
We also obtain the expression for the transmissive light waves from the Green 's-function integral in the case of Kirchhoff's approximation.
近似方法与直接积分方法的比较表明近似方法的计算工作量大幅减少，可以给出足够精度的计算结果。
It is shown that the approximation method with sufficient accuracy costs less computation time than the direct integration method.
在详细的数学推导之后，给出了金属疲劳断裂几率即一个变上限复杂积分的近似解析函数表达式，并与计算机的数值曲线进行了比较。
Following a detailed mathematical derivation a new approximate algorithm for the fatigue fracture of metals is given namely a complicate integral having a changing upper limit.
讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。
This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline.
利用菲涅耳基尔霍夫衍射积分和非线性近轴波动方程，在远场近似及光学薄近似条件下，得出了位相调制产生“热像”出现的位置及强度满足的解析关系。
According to the Fresnel-Kirchhoff diffraction integral and nonlinear paraxial wave equation, we derive the functional relationship of the intensity of hot image and its location.
为此，建立了求解该问题的边界积分方程法，利用积分方程法可获得问题的近似分析解。
Therefore, the boundary-integral equation techniques are put forward to solve this problem and to obtain the approximately analytical solutions of scattered waves on the edge of cutout in shell.
为此，建立了求解该问题的边界积分方程法，利用积分方程法可获得问题的近似分析解。
Therefore, the boundary-integral equation techniques are put forward to solve this problem and to obtain the approximately analytical solutions of scattered waves on the edge of cutout in shell.
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