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误差估计
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  error estimate
Stability in l-norm and error estimate in I2-norm are obtained.
      
By using the elliptic Ritz-Volterra projection, the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated.
      
Calculation of maximum value of twice-differentiable function with a posteriori error estimate
      
An error estimate is derived, and an a priori choice of the regularization parameters is described.
      
An error estimate is obtained for the stable approximate solution obtained by solving a set of linear algebraic equations for the wavelet coefficients of the desired solution.
      
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  error estimates
In this paper, we prove the convergence of the nodal expansion method, a new numerical method for partial differential equations and provide the error estimates of approximation solution.
      
Furtheremore, we provide the error estimates of the approximate solutions of the Navier-Stokes Equations.
      
The ellipticH2-Volterra projection is induced and then used in the derivations of error estimates for semi-discrete and full-discreteH1-Galerkin methods.
      
The optimalL2,H1 andH2 norm error estimates are obtained.
      
Continuous time and discrete time Galerkin methods are introduced to approximate the solution and optimalH1 error estimates are obtained.
      
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  error estimation
The large time error estimation between the spectral approximate solution and the exact solution is obtained.
      
Phase-shifting measurement and its error estimation method were studied according to the holographic principle.
      
The difficulties of the error estimation in phase-shifting phase measurement were restricted by this error estimation method.
      
Meanwhile, the maximum error estimation method of phase-shifting phase measurement and its formula were proposed.
      
A formula is presented for the approximate calculation of the correlation coefficient with error estimation.
      
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A general expression of the temperature distribution in the liquid along the direction af growth at stieady state is derived through a proposed dynamic model. By the use of a newly designed mothod, the actural temperatures in the liquid were precisely measured and a T_L-Z' regression equation was obtained, according to Which the temperature gradient in front of the interface G_L=(dT_L/dZ')|z'=0 was evaluated, The experiments show that the measured results are in good agreement with those obtained from theorectical...

A general expression of the temperature distribution in the liquid along the direction af growth at stieady state is derived through a proposed dynamic model. By the use of a newly designed mothod, the actural temperatures in the liquid were precisely measured and a T_L-Z' regression equation was obtained, according to Which the temperature gradient in front of the interface G_L=(dT_L/dZ')|z'=0 was evaluated, The experiments show that the measured results are in good agreement with those obtained from theorectical analysis. To check up on the accuracy of the method used, the maximun relative error was estimated by mathematical statistics.

本文建立了单向凝固过程的动态模型,推导出凝固试样内固—液界面前方液相中一维穗态温度场的一般表达式。提出了精确确定固—液界面前沿液相中的温度梯度G_L的方法,并用动态测试法实测了液相温度,由回归分析求得T_L—Z′关系式,进而求得G_L=(dT_L)/(dZ′)|Z′=0。实验结果与理论解析结果十分吻合。为检验所制定的G_L确定方法的精度,应用数理统计对G_L确定值进行了误差估计计算。

In this paper, the small-loop theorem and functional analysis are used to analyse the stability of LQG modal control systems of flexible spacecraft, and a sufficient condition for control systems to keep in stability under influence of residual modal is given, and the estimation of errors diviated from the ideal output under influence of residual modal is also presented.

本文利用反馈系统的小回路增益定理和泛函分析方法,对挠性空间飞行器LQG模态控制系统的稳定性进行了分析,给出了系统在剩余模态影响下保持稳定的充份条件,同时给出了系统输出在剩余模态影响下偏离理想输出值的误差估计

This paper presents a method of preprocessing real time digital simulation for a model of hardware—in—the—loop digital simulation, with this method, in keeping the accuracy of the original model, the time of the digital simulation for one frame is reduced from four computing time to one for right function, moreover, the train of thought and procedure of deriving this method are demonstrated, error estimation is given and computing complexity of this method is pointed out in this paper

本文对半实物数字仿真的数学模型提出了一种预处理实时数字仿真方法。在保持原模型精度的基础上,该方法将在每帧内的数字仿真时间由作四次右函数计算的时间减少到作一次计算的时间。本文阐明了推导这种方法的思路、步骤,给出了误差估计并指出了这种方法计算的复杂性。

 
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