查询词典 numerical function

Stability of theoretical and numerical solution to stiff integro-differential equa-tionsand to stiff integro-differential equations of integral limit which depends on state function yare discussed in this paper.

中文摘要：本文研究刚性积分微分方程初值问题及积分限依赖于状态函数y的刚性积分微分方程初值问题的理论解及数值解的稳定性和收敛性。

According to rate process theory, slip theory of plasticity and principle of virtual work, the micromechanical model of soil creep are set up, the numerical solution of the model is given, the differences and similarilities between frequency distribution function of microplane and clay platelet are discussed and schematic computation flow of the model for fitting the test data of homogeneously stressed anisotropically consoildated clay specimens in an undrained creep test at constant volume are given.

以速率过程理论作为土质学与土力学间的桥梁，根据塑性滑动理论和虚功原理，从微观结构的角度，建立了反映粘性土宏观应力应变关系的微观力学模型，给出了微观力学模型数值解的近似表达式，讨论了微滑面与粘粒和团粒定向频率分布的异同，设计了一个拟合各向异性土不排水蠕变的计算流程。

In theory, firstly, the numerical simulation methods, such as the boundary element method, the finite difference method and the finite element method, were utilized to calculate the distribution of electric field intensity and potential of the electron-gun system, the focusing system and the whole equipment, respectively. Then, the trajectories of the electron-beam were traced by using of the Runge-Kutta method and the Monte-Carlo method associatively. The point spread function was also calculated.

在理论分析中，先后采用边界元方法、差分方法、有限元方法等科学数值计算方法，编制程序，对X射线源的电子枪发射系统、聚焦系统以及发射系统与聚焦系统的组合系统等的电场分布进行了严格的计算，在准确求得各系统电场内各个剖分点的电场场强、偏导数等参量的基础上，采用蒙特-卡罗模拟方法和不等距龙格-库塔方法相结合，追踪由LaB_6单晶阴极表面发射出的大量电子束在电场内的运动轨迹，求出点扩展函数，并根据点扩展函数的优劣，反复调节、大量计算对比，挑选出X射线源最佳的电极结构及其组合。

By combining k-ε models with the wall function calculation method and using the SIMPLE method for programming,the flow field in exhaust facility ,which has a low pressure heater and pressure reducer and desuperheater in it,has been treated with three-dimensional numerical simulation and the velocity distribution of the flow field in exhaust facility is herewith obtained.

采用k-ε模型并结合壁面函数法，利用SIMPLE算法编程，对某具有内置式低压加热器和减温减压器的直接空冷汽轮机排汽装置的内部流场进行了三维数值模拟，得到了整个排汽装置内部流场的速度分布情况。

Secondly, the paper carries on the destruction processes and the stress distribution situation numerical simulation of the concrete three point bending specimen with bias crack under static load function,, and analyze specimen crack expansion and the destruction mechanism, obtain the reason that the crack expanding flectional way is because the material nonuniformity, in the same time, from the specimen destruction process chart we can see that the crack bias degree has some influence on the crack expansion way.

其次论文对含偏置裂纹的混凝土三点弯曲试件在静态载荷作用下的破坏过程和应力分布情况进行了数值模拟，并对试件的裂纹扩展和破坏机理进行了分析，得出裂纹扩展的曲折性是由于材料不均匀性所引起的，同时从试件的破坏过程图中可以看出，裂纹的偏置程度对裂纹的扩展路径有一定的影响。

Using the amplification transfer function of type Ⅰ BBO crystal, the theoretical study of spatial properties of the optical parametric fluorescence generated by homochromatic signal and polychromatic signal in optical parametric amplification is investigated, The numerical simulation results demonstrate that when the homochromatic signal is injected into optical parametric amplifier, the fluorescence signal is first emitted in a cone and then in a ring while centering on the pump wave direction.

采用第Ⅰ类相位匹配BBO晶体的放大传递函数方法，分别对光参量放大过程中单波长信号光注入和多波长信号光注入出现的参量荧光的空间特性进行了详细的理论研究。

Z2Bn z$e0A0 Meshless method is a new numerical computation method that is developed rapidly in recent years. Without element mesh and based on the dispersed nodes to form approximate interpolative function dynamically, meshless method has distinct difference with traditional finite element method. Meshless method conquers the problems caused by mesh generation, mesh aberration and mesh move. With provides a new effective means to engineering problem, meshless method obtain highly recognition in international compute mechanics domain and engineering field.

6L！y6K1Q6h0k0 无网格方法是近年来迅速发展起来的一类新型数值计算方法，它们不借助单元网格而是基于离散结点动态构造近似插值函数，与传统的有限元方法有着显著的区别，克服了网格生成、网格畸变和网格移动引起的问题并为工程问题提供了一种新的有效分析方法，受到了国际计算力学界和工程界的高度重视。

Macros were introduced to simplify the process of writing the function calls for the user: more convenient and mnemonically significant words can be used instead of the numerical values of parameters of some functions.

巨集是为了使用者来简化撰写函数过程：更方便和有助记忆重要字可替代一些函数参数的数值。同样地也适用在颜色的名称。

Introduce the numerical well test and reservoir model combination function into the study, realized the efficient description of the seep cell dynamic percolation model of slot and hole type carbonatite reservoir, such as "moniliform","compound" and so on.

本文针对塔河缝洞型碳酸盐岩油藏特殊的储层、油藏地质特征，以及现行解析试井解释方法在缝洞型油藏试井资料解释中面临的主要问题，开展了有限元数值试井新技术应用研究。

The multiresolution time-domain algorithm based on the scaling function of the Daubechies wavelet is introduced, and the perfectly matched layer absorbing boundary condition for the algorithm is deduced. In order to overcome the difficulties due to the nonlocalized property of the MRTD basis functions, the pure scattered-field formulation is adopted. The method presented is applied to the scattering analysis of multiple conducting objects, and the numerical results are compared with those by the traditional finite-difference time-domain method. It is shown that the computational resource is reduced drastically without sacrificing much accuracy.

对基于Daubechies小波尺度函数的时域多分辨分析算法进行了详细论述，推导了MRTD算法的完全匹配层吸收边界条件，为克服传统MRTD方法中基函数存在着非局部性的缺点，在源的加入上采用了纯散射场方法；并应用该算法对多目标的电磁散射特性进行了分析，数值结果表明，MRTD算法与传统的时域有限差分法结果相吻合，大大节约了计算资源。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。