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精确数值
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  accurate numerical
     An Approximate Function Expression and an Accurate Numerical Calculation Method of Shear Modulus
     剪切模量的近似函数和精确数值积分表达式
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     The accurate numerical computation of saturation adiabatic equation
     饱和湿绝热方程的精确数值计算
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     to use laser-guided sensor to make accurate numerical measurement;
     使用激光位移传感器进行精确数值测量;
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     These topics are as follows, the significance of optimal reentry trajectory calculation and control, performances of reentry trajectories, the approximate computation and accurate numerical solution of optimal reentry trajectory, reentry guidance and control system,optimal aeroassisted orbit transfers, the hybrid navigation system of space vehicle, the dynamics and control of small reentry vehicle, the penetration and interception during reentry flight, and the mutual relations among some reentry problems.
     这些专题是最优再入轨迹计算与控制问题的提出及意义,再入飞行轨迹的性能指标,最优再入轨迹的近似计算与精确数值解,再入制导与控制系统,各类最优气动辅助变轨问题,航天器的组合导航系统,小型再入体的动力学特性及控制问题,再入飞行中的突防与拦截问题,一些再入问题的相互关系等。
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     A "spectral expanded BEM" is introduced to calculate the dyadic Green's functions in the slot cavity and in the space out of waveguide. An accurate numerical calculation on the slot aperture electrical field and equivalent admittance is obtained.
     本文将谱展开与边界元方法相结合,解决了波导壁缝隙腔中和波导外空间并矢Green函数的计算问题,从而得到了矩形波导窄边缝隙天线口面电场和等效导纳的精确数值解。
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  exact numerical
     Two numerical examples are following:(1) A rectangular wing having airfoil NACA0012, aspect ratio λ = 12, angle of attack α=2°, free stream Mach number M∞ = 0.63. The computed pressure distribution of the root section agrees with the exact numerical subsonic solution given by Sells (1968).
     数值算例1为矩形机翼,展弦比λ=12,翼剖面为NACA0012,自由流的马赫数M_∞=0.63,迎角α=2°,翼根剖面压力分布的计算结果与二元亚音速精确数值解(Sells,1968)接近。
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     LOCAL EXACT NUMERICAL METHODS FOR BOUNDARY VALUE PROBLEMS OF ODEs
     常微分方程边值问题的局部精确数值方法
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     The computation results indicate that the AWE technique not only can well approximate the exact numerical solution,but also improve the velocity of calculation and save the calculation time of CPU.
     计算结果表明:渐近波形估计技术不但能准确地逼近矩量法的精确数值解,还可以较快的提高计算速度,但在加速计算导体宽角度与宽频域雷达散射截面时具有不同的效果。
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     Exact numerical solution of foundation dynamic stiffness and its lumped parameter model
     基础动力刚度的精确数值解及集中参数模型
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     The results indicate that the AWE technique not only can well approximate the exact numerical value solution of MOM, but also can improve the velocity of calculation by several times which saves the calculation time of CPU.
     结果表明AWE技术不但能准确地逼近MOM的精确数值解,还可几倍甚至几十倍地提高计算速度,大大地节约CPU时间。
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  precise numerical
     In the nonlinear case (when the temperature ratio of two plates is equal to four), the difference between Willis precise numerical results and ours is less than 2.5%.
     在非线性情况(两壁温度比为4),与Willis的精确数值结果相差小于2.5%.
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     To compare the precise numerical solution with approximate solution is made.
     并将精确数值解与近似解进行比较。
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  “精确数值”译为未确定词的双语例句
     The streamlines of the flow are obtained from an exact analytical treatment of the Stokes equations by making use of finite element methods and complex function theory.
     运用有限元方法,从斯托克斯方程,连续性方程和流函数方程出发,通过有限元离散、等参元映射、数值积分和牛顿迭代,得到有限元方程的精确数值解,利用后处理软件对得到的数值结果进行了可视化处理。
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     During the development of oil reservoir, it's difficulty to estimate the reservoir pressure as the rock permeability, porosity and well drainage area change all the time.
     在油藏开发过程中 ,油藏的渗透率、孔隙度和供油面积等参数不断变化 ,很难确定其精确数值 ,给油藏压力的计算带来了困难。
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     ACCURATE ALGORITHM FOR NUMERICAL SIMULATION OF NONLINEAR STOCHASTIC PROCESS DRIVED BY MULTIPLICATIVE COLORED NOISE
     倍增色噪声激励的非线性随机过程的精确数值模拟
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     An exact asymptotic estimate for the Lebesgue constants of the equicon- vergent operators of Cesaro means of Fourier-Laplace series is obtained.
     讨论了Fourier-Laplace级数的Cesaro平均的等收敛算子的Lebesgue常数,并给出了其主项的精确数值和余项的增长阶.
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     Results for typical index-profiles(linear, parabolic, exponential and Gaussian)agree with exact results.
     对各种典型折射率剖面(直线型、抛物型、指数型、高斯型)的计算结果表明,与精确数值解法结果相符。
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  accurate numerical
For this reason, we perform an accurate numerical analysis of the central charge and the critical exponents.
      
The method proposed here is essentially an accurate numerical method for solution of the viscous shock layer equations.
      
We performed accurate numerical calculations of angle-, time-, and frequency-dependent radiative transfer for the relativistic motion of matter in gamma-ray burst (GRB) models.
      
Calculations by the n-term approximation have been compared to an accurate numerical solution of the two-particle problem.
      
We have applied an accurate numerical integration technique involving an auto-adaptive modified-space step, which assured high accuracy and simplification.
      
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  exact numerical
The approximate results are in good agreement with the exact numerical solutions.
      
The distinction between this solution and an exact numerical solution is indicated.
      
The region in which this method can be applied and the accuracy of the asymptotic theory are estimated by comparison with exact numerical computations.
      
Therefore, an exact numerical analysis of flow stability over a fairly broad range is required.
      
An asymptotic solution exhibiting the influence of the axial symmetry of the duct is obtained in the vicinity of the y axis and is compared with the results of exact numerical calculations.
      
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  precise numerical
By using a more precise numerical simulation method, calculations could be made over a fairly wide range of determining parameters, and results were obtained for both short and long heating times.
      
The result is shown to be fully consistent with precise numerical simulations in lattice QCD.
      
The precise time step integration method proposed for linear time-invariant homogeneous dynamic systems can provide precise numerical results that approach an exact solution at the integration points.
      
Basis sets are evaluated by comparing the results to highly precise numerical grid calculations previously carried out with the same wave function models.
      
Using a criterion of species persistence based on the notion of principal eigenvalue of an elliptic operator, we provided a precise numerical analysis of the interactions between habitat fragmentation and species persistence.
      
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Various influence factors of solid boundaries on discontinuuties in the gas molecular distribution function are considered and a bimodal two-stream relaxing distribution is suggested. In applying it to the heat conduction problem between two parallel plates by Maxwell transport equation we obtained a closed solution. According to the theory suggested in this paper, in the linear case, the calculated heat transfer is close to that given by existing theory. In the nonlinear case (when the temperature ratio of...

Various influence factors of solid boundaries on discontinuuties in the gas molecular distribution function are considered and a bimodal two-stream relaxing distribution is suggested. In applying it to the heat conduction problem between two parallel plates by Maxwell transport equation we obtained a closed solution. According to the theory suggested in this paper, in the linear case, the calculated heat transfer is close to that given by existing theory. In the nonlinear case (when the temperature ratio of two plates is equal to four), the difference between Willis precise numerical results and ours is less than 2.5%. This is an obvious improvement as compared with the Liu-Lees theory. Furthermore, temperature calculations demonstrate the existence of a Knudsen layer.

分析了固体边界对分子分布函数不连续性的各种影响因素;提出了双峰二向流弛豫分布,将它应用于麦克斯韦输运方程以研究二平行平板间的热传导,得到了封闭解.根据本文提出的理论,在线性情况,计算得到的热流值与现有的理论结果相近;在非线性情况(两壁温度比为4),与Willis的精确数值结果相差小于2.5%.这与具有代表性的Liu-Lees的理论结果相比有较大改进.此外,温度分布计算显示出了Knudsen层的存在.

After a brief review the electromechanical relations of a thin piezoelectric ceramic disc are derived by means of variational calculus,using the displacement distribution of infinitely thin one as primary approximation.It is pointed out that the Rayleigh correction for the resonance frequencies is exact at least to the term of the square of thickness-diameter ratio(h/2a)~2.Our experiments support this conclusion even in the case of strong electromechanical coupling for the values of h/2a up to about 0.17.The...

After a brief review the electromechanical relations of a thin piezoelectric ceramic disc are derived by means of variational calculus,using the displacement distribution of infinitely thin one as primary approximation.It is pointed out that the Rayleigh correction for the resonance frequencies is exact at least to the term of the square of thickness-diameter ratio(h/2a)~2.Our experiments support this conclusion even in the case of strong electromechanical coupling for the values of h/2a up to about 0.17.The thickness correction of the plane electromechanical coupling coefficient k_p is also obtained and discussed.Some tables and curves are given for the purpose of applications.A general analysis of the radial vibration of a thin disc having central hole is dealt with in the appendix.

首先就无限薄圆板情形,对特征方程精确数值求根,得到径向模前三个特征值以及由和σ求 k_p,(可达0.8)的计算表格。然后以无限薄圆板的位移分布作初级近似,利用变分原理讨论了有关机电关系的厚度修正问题。推导表明,所谓共振频率的瑞利修正公式乃是所得特征方程的精确到(h/2α)~2的近似解。用机电偶合较强的压电陶瓷圆片所作实验表明,即使忽略各向异性,共振频率的瑞利厚度修正关系已很满意。给出了由 f_(r2)/f_(r1)求算σ的厚度修正曲线,可以看出该关系对厚度修正较敏感。至于求算 K_p 关系的厚度修正,给出了相对修正⊿k_p/k_p 精确到(h/2_α)~2项的表式,实例表明,一般此项修正量不大。文末还就中心开孔圆板的径向振动作出一般的分析。

It is known that in plane finite element calculation the bearing load must be transformed into force of nodal. Currently used methods of transformation are: 1) integral average method, 2) average integral method, and 3) trapezoid method. Since some approximation is made in these methods, the calculation results are approximately nonnumerical.Based on the equivalent theory of statics this paper presents an accurate numerical method and accurate numerical formulas for calculating the bearing load distributed by...

It is known that in plane finite element calculation the bearing load must be transformed into force of nodal. Currently used methods of transformation are: 1) integral average method, 2) average integral method, and 3) trapezoid method. Since some approximation is made in these methods, the calculation results are approximately nonnumerical.Based on the equivalent theory of statics this paper presents an accurate numerical method and accurate numerical formulas for calculating the bearing load distributed by cosine curve law are derived.The method developed in this paper can increase the accuracy of calculated results and be used to draw up a universal computer program for the finite element method.

在平面有限元计算中,必须把轴承负荷转为节点力。现有方法:①积分平均法,②平均积分法,③梯形法。这些方法都作了一些近似假定,所以是近似的非数值解法。 本文根据静力学完全等效原理提出一种精确数值解法,并对余弦分布的轴承负荷转为节点力的解法作了具体的数学推导,得出了精确数值计算公式。 本文提出的解法可以提高平面有限元计算的精确性,便于编制平面有限元计算的通用程序。

 
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