1·Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.
高斯束是波动方程在特定射线附近的高频渐近解。
2·Using the perturbative method the asymptotic solution of the corresponding model is obtained.
利用摄动方法求出了相应模式的渐近解。
3·For every order of the asymptotic solution, the dimensionality of the problem has been decreased by one.
使问题的维数，对各级渐近解而言，降低了一维。
4·The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
5·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。
6·By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.
我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。
7·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。
8·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。
9·This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
10·Using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.
本文利用特征方程根的性质，研究了开口圆柱薄壳精确微分方程的特征方程的渐近解。