离散化

Because of its interpolation property and describing sectionally, parametric cubic spline method can be very compatible with FEM .

由于参数样条的插值特性和分段描述，它能和有限元分析时的结构离散化保持协调一致，因而曲面造型程序和有限元分析程序之间的数据传递是很方便的。

By solving the simultaneous equations of discrete BIEs and friction law, spontaneous rupture can be calculated.

摩擦准则和本文建立的离散化边界积分方程联立，即可求解半空间的断层上的自发破裂传播问题。

The free surface of the flow can be obtained from the discrete solution of the free surface flow equation.

建立了三维水流大涡模拟数学模型，采用迭代法求解速度和压力，再由离散化的自由水面运动方程求解自由水面；根据试验观测的水面线和流速分布资料，对数学模型进行验证。

For further study to improve performance, an adaptive control algorithm based on Neural Network is tried in stabilization control. A new method of selecting the initial weights of Neural Network is put forward, which is that the coefficients of discrete equivalent of continuous transfer function in traditional control are used as the initial weights of Neural Network. Adaptive Neural Network control is combined with traditional control by using different method in different segment.

作为进一步提高稳定系统性能的探讨，对基于神经网络的参数自适应调整控制方法在稳定控制中的应用进行了研究，提出了将传统校正方法经离散化后所得到的数字控制算法的系数作为神经网络权值初值的新方法，并采用分段控制，将传统校正方法和神经网络控制方法相结合，取得了较好的控制效果。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

After created qualified grids, discretized physical characteristic, we computed the temperature and velocity field within the standard Model by utilizing CFD techniques. The thesis focuses on the temperature design of supply air, the influence on the platform brought by stopcock wind and local exhaust and the possibility of actualizing the VAV system.

在研究过程中运用CFD模拟的方法，选用标准湍流模型作为物理模型，在优质的网格生成的基础上，对所要研究的物理量进行离散化处理；并就空调送风温度的设定、活塞风、局部排风对站台热环境的影响、全天VAV环控方案实现的可能性等作了详细的理论研究与模拟分析。

According to the concept of strain energy of cracked materials, the orientation tensor of crack was defined. Considering the crack-closing and friction between crack surface under compression, The damage tensor, damage strain and effective elastic modulus were formulated. A method for discrete description of damage mechanism was given, and the evolution equation of discrete orientation density of crack was obtained. The relationship of micromechanism and the macro-representation of concrete failure were studied.

从含裂纹材料的变形能出发，引出了裂纹的方位张量；在考虑裂纹受压闭合与滑动摩擦的基础上，给出了损伤张量、损伤应变和有效弹性系数的表达式，在损伤机构离散化方法的基础上，给出了方位密度的演化方程；将上述损伤理论应用于混凝土的损伤分析，研究了混凝土破坏的微观机制与宏观表现的关系及Griffith准则和Mohr-Coulomb准则的相似性问题，对修正的Griffith准则进行了改进。

The dimensionless equations are obtained by using stream function.

采用以流函数表示的无量纲基本方程，用控制容积法对方程离散化并进行了分析计算。

Two commonly used methods of watershed segmentation were compared and analyzed. One is subarea method, and the other is grid method.

本文分析比较了流域空间离散化的两种途径：子流域法和网格法，并以此对流域径流过程模拟的影响进行了探讨。

The discretisation of the velocity space in the kinetic theory of gases allowsus to replace an integro-partial-differential equation,the Boltzmann equation,by a system of hyperbolic semi-linear partial differential equations.

在气体运动论中将速度空间离散化处理，使得我们可以用一个双曲型的半线性偏微分方程组来取代Boltzmann方程这个积分微分方程。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。