The relation between the explicit difference solution and the implicit one is established. A correction difference solution with higher accuracy is constructed by the use of asymptotic expansion.
首先讨论了隐差分解与显差分解的关系，并利用差分解的渐近展开式构造差分校正解来提高精度。
Asymptotic stability of the solution to a class of stochastic systems with variable delay is discussed.
讨论了一类随机可变时滞系统解的渐近稳定性。
This formulation possesses an asymptotic strong duality property and guarantees a success for identifying an optimum solution.
此公式具有渐进强对偶的特性并且可以保证找到原问题的最优解。
The asymptotic properties of mean value in the mean value of bivariate functions are discussed, a solution is presented for related inverse problem.
讨论了二元函数中值定理中间值的渐近性质，给出了一个相关反问题的解。
This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity.
本文研究当极限方程有奇性时四阶线性常微分方程的柯西问题解的渐近式。
A method is given for determining the parameters of a diffused waveguide from the observable values of mode efficient index by using the asymptotic solution equations.
给出了利用渐近解公式，由模有效折射率的测量值确定波导表面折射率和扩散深度的方法。
The second example is the asymptotic periodic solution and the dispersion relation of weakly non-linear waves in a self-gravitating medium.
第二个实例是自引力介质中弱非线性波的渐近周期解及色散关系。
Our proof of the convergence is based on an asymptotic diffusion expansion and requires error estimates on a matched boundary layer approximation to the solution of the discrete-ordinate method.
其收敛性的证明是依据其渐近扩散展开式，在边界层上得到的误差估计逼近其离散纵标方法的解。
Aim to construct an analytic solution for the asymptotic field near a tensile crack tip of power-law hardening material under Plane stress condition.
目的构造幂硬化材料中受拉伸裂纹顶端渐近场的分析解。
There has been a general method to obtain the asymptotic solution of the plane elastoplasticity problem with strain-hardening of a power series model.
具有幂级数型强化律的弹塑性平面问题已有较为一般的渐近解法。
In this paper, a method of asymptotic integral is suggested for determining the periodical solution of a nonlinear equation. Examples are given.
本文提出非线性方程周期解的渐近积分法，并举例说明。
A class of second orders homogeneous equations with varied coefficient widely applied in mechanics were studied using the amended asymptotic method, and the amended asymptotic solution was derived.
采用修正渐近法研究了在力学中应用范围比较广泛的一类具有变系数二阶线性齐次方程，并求得了其修正渐进解。
Under the appropriate conditions, the asymptotic solution and its existence conditions are obtained, the results for a class of quasi-circular membrane oscillation problem is extended.
在适当的条件下，得出了这类问题的渐近解及其可解性条件，推广了一类近乎圆膜的振动问题所得的结果。
By Newton algorithm and the analysis for asymptotic solution, this paper presents a direct formula for calculating critical depths of trapezoidal open channels.
依据牛顿算法及渐近解分析，本文提出了一种梯形明渠临界流方程的直接算法。
In this paper, a singularly perturbed catalytic reaction problem is considered. The formal asymptotic solution is obtained and its uniform validity is proved.
本文讨论了一个奇摄动催化反应问题，得到了问题的形式渐近解，证明了它的一致有效性。
Another example on the torsion of a prismatic bar with elliptic section is presented here and its asymptotic analytical solution is also obtained.
还举了一个椭圆形截面杆强化弹塑性扭转问题，获得了它的渐近解。
A class of ENSO perturbed model is studied. Using the perturbation theory and method, the asymptotic expansions of solution of corresponding problem are constructed.
研究了一类ENSO摄动模型。利用摄动理论和方法，构造了相应问题的渐近展开式。
By using functional method, the asymptotic stabitity of a solution of a repairable standby human-machine system is proved, by studing spectral properties of the operator corresponding to this system.
运用泛函分析的方法 ，通过分析系统主算子的谱特征 ，给出一类具有备用部件的可修人机系统解的渐近稳定性证明 。
In this paper, a method of using initial layer correction to solve the electromechanical coupled systems is submitted, an asymptotic solution of analysis are obtained.
提出了用初始层校正法求解机电耦合系统状态方程组的方法，获得了问题的渐近解析解。
But if the cone Angle is assumed to be small then a boundary perturbation scheme can be developed. The asymptotic analytical solution of this flow is shown in this paper.
但在小锥角条件下，采用摄动理论的边界摄动方法，我们获得了该流动的渐近分析解。
But if the cone Angle is assumed to be small then a boundary perturbation scheme can be developed. The asymptotic analytical solution of this flow is shown in this paper.
但在小锥角条件下，采用摄动理论的边界摄动方法，我们获得了该流动的渐近分析解。
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