查询词典 numerical system

This paper considers the pricing model of options under illiquidity. A new numerical procedure for solving the nonlinear parabolic partial differential equation is explored and the Thomas algorithm is used to improving the efficiency of the numerical scheme.

本篇论文提出一个在市场流动性不足情况发生时的选择权订价模型，并且发展一个新的数值方法来求解一个非线性抛物线型态的偏微分方程式，同时利用汤马斯演算法来提升数值运算的效率。

This paper uses unsaturated soil Alonso elasto-plastic model to analyze the influence of model parameter value on numerical calculation. And the result shows that Finite Element numerical calculation which adopts the specimen integral deformation model parameter will generate errors, and overestimates unsaturated soil strength.

应用非饱和土Alonso弹塑性模型研究探讨了模型参数取值对非饱和土数值计算结果的影响，使用包含端部约束影响的试样整体变形确定的模型参数进行有限元数值计算将产生误差，同时也高估了非饱和土体的强度。

The velocity distribution of jetting penetrator charge under different initiation ways was s tudied by theoretical analysis. The numerical simulation results coincide with the theoretical analysis, a practical method of numerical simulation and material model parameters were obtained.

并通过理论分析研究了不同起爆方式下所形成的杆式射流的速度分布，数值模拟结果与理论分析吻合较好，得到了一套实用的数值模拟方法及材料模型参数。

Then, we use numerical continual method to get the periodic numerical solution.

接着，我们尝试运用数值延拓法求取其周期数值解。

In the numerical computation, a two-dimensional numerical method integrating finite element method and difference method was employed, where the finite element method is used to calculate the magnetic field of the permanent magnetic guideway and the difference method is used to calculate the induced current in the superconductor, then the levitation force and the lateral force were calculated by Lorentz formula.

在数值计算部分，实现了一种集有限元法与差分法为一体的数值计算方法。

Based on the lumped mass method and Newton's second law, the numerical model of the force and movement response for fishing nets in current was set up, and then the dynamic deformation and the equilibrium configuration of the plane net in current along the positive direction of x-axis were studied by means of computer numerical simulation method.

基于集中质量点法和牛顿第二定律，建立了网衣在水流作用下的受力和运动响应数学模型。

In this paper, the main parameters of poison gas's numerical simulation are analyzed on the basis of studying of the numerical simulation and dynamic emulation of poison gas leakage and diffusion possibly occurring in the destructive earthquake.

本文在破坏性地震中可能发生的次生毒气泄漏与扩散灾害的数值模拟与动态仿真研究的基础上，分析了影响毒气扩散的主要参数。

After analyzing the relationship between the amount of atmospheric water vapor and ground vapor pressure, precipitable water vapor retrieved by GPS with those based on numerical models are compared in order to assess precision of the results based on numerical models.

在讨论了GPS遥感结果与地面水汽压关系的基础上，通过比较GPS遥感结果与几种国内外常用的利用地面湿度参量计算总水汽量方法的结果，评价了这些方法的精度及在实际应用中的可行性。

Based on the theory of contact dynamics, the dynamic model with clearances of sizing press roll was established using the method of numerical simulation. The paper studied the effect of clearances on contact force inner Mechanism joints detailedly by the method of numerical integration of fix step length four orders Runge-Kutta.

基于接触动力学的理论，利用数值模拟的手段建立了调宽机含间隙的动力学数学模型，采用定步长四阶Runge-Kutta数值积分的方法，详细研究了运动副内间隙对接触力的影响规律。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

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。