Gaussian beam (GB) method is a high-frequency asymptotic method of computing wave-fields in inhomogenous media.
高斯射线束(GB)方法是一种用于计算不均匀介质中波场的高频近似方法。
Sympleetic Geometrical Theory is a kind of high-frequency asymptotic method of solving electromagnetic wave propagation.
辛几何理论是一种求解电磁场波动方程的高频近似法。
In the case of small damping, the results obtained with the asymptotic method is also agreeing with the results given by analog computers.
对于小阻尼情形，渐近法的计算结果也基本上与模拟机结果一致。
The influence on the growth morphology of the spherical crystal in the undercooled melt imposed by the far field flow is studied by the asymptotic method.
利用渐近分析方法研究了远场来流引起的对流对过冷熔体中球状晶体的生长形态的影响。
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。
The sufficient and necessary conditions for the global asymptotic stability of the equilibrium point of the nonlinear circuits are obtained by vector comparison method.
利用向量比较原理，得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。
In this research, I established an impulse control method for the worldwide synchronization of discrete chaotic system, and researched some standards for global asymptotic stability.
在这项研究中，我为离散混沌系统的全球同步建立了一个脉冲控制方法，以及研究了一些全球渐进稳定标准。
On the basis of requesting another factorization of an integer in only one way, two interesting asymptotic formulas on cub complements are obtained through the elementary method.
在通过对任一正整数提出另外一种唯一分解式的基础上，利用初等方法得到了关于立方补数的几个有趣的渐近公式。
Renormalization group method is an effective tool to obtain the uniformly valid asymptotic expansion exact solutions of this kind of problems.
重正化群方法已成为获得这类问题精确解的一致有效渐近展开式的有用工具。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
A new method is introduced to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit.
提出了一种新的分析非线性电路平衡点全局渐近稳定的方法。
To overcome the long test time and big error in single variable open loop step test method, a novel identification method based on asymptotic theory (asym) is presented.
为克服传统单变量开环阶跃测试法测试时间长和误差大的缺点，提出一种基于渐进黑箱理论的多变量辨识方法。
Based on the asymptotic homogenization method a global three-dimensional constitutive relation for viscoelastic FRC was formulated.
通过渐近均匀化方法给出了预测FRC整体三维本构关系的解析表达式。
It's illustrated how Input state linearization method is used to eliminate bifurcation so that no matter how the parameters change the system could maintain asymptotic stable equilibrium state.
主要阐述了用输入—状态线性化来消除分岔的非线性控制方法，使得当参变量无论怎样变化，系统始终都能保持在渐进稳定的平衡态。
The asymptotic solutions composed of finite terms of elementary functions are obtained by regular perturbation method.
采用正则摄动法，求出了由有限项初等函数所构成的渐近解。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
It is proved that the statistics is asymptotic normality, and simulation of the statistics's asymptotic distribution is carried out with Monte Carlo method.
证明了此统计量是渐近正态的，并利用蒙特卡罗方法对统计量的渐进分布做了统计模拟。
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。
Density evolution is a new method for analyzing the asymptotic performance of near capacity limit error-correcting codes.
密度进化方法是分析现代高效纠错编译码渐近性能的新方法。
This paper introduces the principle and design thought of Incremencal Form Fuzzy control (IFC) and points out that IFC is an effective method for Fuzzy System to realize asymptotic stability control.
本文介绍了增量式模糊控制(ifc)的原理与设计思想，指出IFC是FC系统实现渐近稳定控制的有效方法。
The method of moments (MOM) combining with the asymptotic waveform evaluation (AWE) technique is used to predict scattering fields of an arbitrarily shaped groove in a perfectly conducting plane.
本文基于渐近波形估计（AWE）技术和矩量法（MOM）快速预测无限大导体平面上任意形状凹槽的散射场方向性函数。
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。
The present paper discuses, with the method of matched asymptotic expansions, the stress boundary layer of the slender riser in a steady flow.
本文用匹配方法讨论定常流中细长立管所产生的应力边界层现象。
In this paper, we mainly prove the existence and uniqueness of the new monopole by dynamical shooting method, and present sharp asymptotic estimates for the solutions.
本文主要是利用动态打靶法证明这种新的磁单极子的存在唯一性，同时也得到了解的渐近估计。
The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.
第二章用上下解的方法来研究耦合半线性抛物方程组的动力学行为，给出了解的渐近行为。
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 design method of nonlinear reduced order state observer is presented for feedback linearizable nonlinear systems, and the asymptotic convergence is proved for the proposed state observer.
对于一类可以反馈线性化的非线性系统，提出了一种非线性降维状态观测器设计方案，并证明了状态观测误差的渐近收敛性。
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。
The finite element method is combined with homogenization theory based on asymptotic expansion for predicting effective properties of polymer matrix composites toughened and strengthened by particles.
将数学上的均匀化方法与有限元法相结合，预测了颗粒增韧增强聚合物基复合材料的有效性能。
The finite element method is combined with homogenization theory based on asymptotic expansion for predicting effective properties of polymer matrix composites toughened and strengthened by particles.
将数学上的均匀化方法与有限元法相结合，预测了颗粒增韧增强聚合物基复合材料的有效性能。
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