查询词典 numerical method

Then, under the consideration of mixed boundary value condition, a pair of dual integral equations for the rocking vibrations of a disk on saturated grounds are obtained, which can be reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Consequently, the dynamic compliance coefficient is evaluated and numerical results are presented to portray the influence of poroelastic effects on the dynamic interaction problem.

对于刚性圆板，作者首先采用Hankel变换对波动方程进行求解，得到了该控制方程在Hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础摇摆振动的对偶积分方程，并将其化为第二类Fredholm积分方程，用数值方法计算了不同频率下基础的动力柔度系数，从而考察孔隙水的存在对基础摇摆振动特性的影响。

Based on rubbing model of a two-disk rotor-stator system with consideration of both rotor and stator dynamics,a numerical integration program is applied to numerical simulation and analysis of the nonlinear dynamics of this system,such as bifurcation,Poincare section map,trajectory of axes,phase trajectory,frequency spectrum diagram and time response.

基于一新型径向-轴向复合碰摩双盘转子-机匣力学模型，利用数值积分和Poincare映射方法，对转子-机匣系统由于径向-轴向碰摩故障导致的非线性动力学行为进行了数值仿真研究，给出了系统响应随转速和偏心量变化的分岔图和一些典型的Poincare截面图、相轨图、轴心轨迹、幅值谱图和时域响应等。

The formula of numerical computing is presented with discretion for Fresnel diffraction and phase numerical reconstruction of wave front.

从光的菲涅耳衍射、波前相位重构入手，对连续信号进行了离散化处理，给出了数值计算公式。

The frontogenesis process involves in the interactions among the systems of multiple scales. Since the hardness of the nonlinear problem, it is difficult to study frontogenesis analytically. The introduction of the effects of orography, friction and diabatic processes generally makes impossible the analytical resolution of the problem and leads to the use of numerical models. Primitive equations are numerical integrated together with a detailed description of physical processes. The circulation obtained is then used to diagnose and test theoretical mechanisms. It should be noted, however, that a fully description of frontogenesis in explicitly resolving the of large-, meso- and micro-scale flow in the same framework is not yet possible because of the excessive computer capacity and the time required. In order to deal with the problem, the action of large-scale background has been simplified and taken into consideration through the addition of the forcing into the nonhydrostatic cloud model.

大气锋生是一种多尺度相互作用的过程，理论研究遇到非线性的困难，在考虑地形、摩擦、非绝热等物理过程之后，解析研究更加棘手，通过数值模拟搞清其中的物理机制是重要的研究手段，但是把大、中、小尺度甚至微尺度的系统及其相互作用过程在一个模式里同时模拟好仍然受计算机速度和容量的限制，本论文在非静力云模式中通过强迫方式加入大尺度变形场的作用，在考虑到大尺度背景作用的同时，可以充分利用云模式所提供的丰富物理过程、非静力和高分辨率特点，开展一些过去较难进行的研究工作。

The model of multi-layers dense media is developed for numerical simulation of polarized brightness temperature from layering lunar soil and rock. Numerical simulations show the functional dependence of relevant physical parameters.

提出模拟的亮温和多层月壤月岩的多层密集粒子介质辐射传输模型为理论观测，反演月球表面参数，讨论了月壤厚度等参数反演可予以实施的方法。

Under the one-dimensional situation, it introduces mainly the Newton-Cotes formula, the Gaussian quadrature formula, the numerical integration rule of sharp oscillatory function, the numerical integration rule by the methods of sampling and so on.

在一维情形下，主要介绍了Newton-Cotes公式，Gauss型求积法则，急速振荡函数的数值积分法则，抽样法求数值积分的法则等。

With the knowledge of linear algebra, general formula for arbitrary order Taylor finite difference has been derived. In this paper, the analysis of spectral property and computational error of arbitrary order TFD is presented in detail. Then it is applied into the numerical solution of Maxwell's equations. Stability condition and numerical dispersion relation are derived.

本文借助于采样定理，详细分析了不同阶Taylor中心差分格式的谱特性以及计算误差，并将任意阶Taylor中心差分格式用于数值求解麦克斯韦方程中，严格导出了稳定性条件和数值色散关系的表达式，引入了新的误差定义来衡量算法的好坏。

Based on the study of a discrete chaotic system of numerical solution and graphical simulation, while for discrete time-delay chaotic system a numerical simulation procedure.

详细说明：摘要：基于研究了离散混沌系统的数值解法和图形仿真，同时针对离散时滞混沌系统给出了数值仿真的程序。

This paper analyze and study the influence of the superimposition in depth based on the previous achievements and combined with the theoretical qualitative analysis and project instances. The main contents as follow:Chapter 1: Indicate the significance and objective of this paper, review the previous achievements of the transient process and superimposition, and then present the study purpose of this paper.Chapter 2: combined with the physic knowledge of the fluctuation and the superimposition, Indicate the physical essences and the influence of the superimposition phenomena that exist in the diversion pipe system, and take one hydraulic turbine owning only one diversion tunnel and two hydraulic turbines sharing one tailrace conduit for instance to study out the numerical calculation superimpose operations.Chapter 3: From the calculation theory of the parameter of the guaranty calculation of regulation of the hydro-turbine, qualitative analyze the influence of the superimposition on them and the superpose time, combined with some project instances, get the numerical value of the influence of the superimposition and the superpose time.Chapter 4: Based on the previous achievements of the calculation and theoretical analysis of the surge-chamber ground swell, analyze the influence of the superimposition on it and the superpose time.

本文在前人研究成果的基础上，结合理论定性分析及工程实例，对波动叠加带来的影响进行深入分析研究，其主要内容如下：第1章，指出本文研究的意义和目的，回顾前人对水电站过渡过程及波动叠加方面的有关研究成果，在此基础上提出本文的研究内容；第2章，结合物理学中有关振动与波动叠加方面的有关知识，阐述水电站引水发电系统中存在的波动现象的实质及其影响，并以两机一洞和一机一洞具有上游调压室或下游调压室的水电站拟定其数值计算叠加工况；第3章，从机组调保参数的理论出发，定性的分析波动叠加对机组调保参数的不利影响及叠加时间，结合几个工程实例，得到波动叠加带来的影响大小及叠加时间；第4章，在前人对调压室涌浪进行计算和理论分析的基础上，分析波动叠加对调压室涌浪的影响及其叠加时间。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。