查询词典 numerical coding

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

The results of numerical simulation reveal that the resistance to liquefaction of sands increases as the angularity of particles increased, and the micro_mechanism is related to the average coordination number of sample. It also found that the numerical sand sample made from randomly mixing multiple shapes of sand can quantitatively reflect the regularity of fabric evolution of sands during liquefaction.

结果表明，颗粒棱角度越大，试样抗液化能力越强，其在细观机理上与初始平均接触数大小有关；随机混合仿真试样可以从定性角度反映实际砂土振动液化过程中的细观组构演化规律，为今后进一步的定量研究奠定了基础。

In this paper the numerical solution of Green's function of potential in 2-D arbitrary inhomogeneous media with axial symmetry has been given by using the numerical mode matching theory.

利用数值模式匹配理论，对具有轴对称的任意二维非均匀介质中位场的格林函数给出数值解。

By analyzing the reason of the numerical oscillation phenomenon and computing the temperature field in plate rolling process,it is found that numerical oscillation can be restrained effectively when the heat capacity matrix is lumped by using backward difference scheme.

近年来，许多研究人员采用有限元法分析热轧和淬火等过程中的瞬态温度场。

The control volume integration was applied to deduce the discrete expressions of the convection-diffusion equations. The staggered grid and SIMPLE algorithm were introduced to deal with coupling between pressure and velocity, and then the numerical computation expressions of such variables as fluid flow velocity and pressure were deduced. Using the backward difference method and incremental theory to discretize the governing equations for fields of chemical reaction, material structure and chemorheology, the numerical computation expressions of variables such as the monomer conversion, average molecular weight and fluid viscosity were constructed.

应用控制容积积分法导出了对流—扩散方程的离散表达式，引入交错网格技术与SIMPLE算法，实现了耦合的压力场与速度场的分离式求解，推导得到了流体的流动速度、压力等物理量的数值计算式；采用向后差分方法和增量方法，实现了化学反应场、材料结构场、化学流变场控制方程的离散，获得了反应转化率、聚合物平均相对分子质量、流体黏度等物理量的数值计算式。

Whereas analytical method and the before-mentioned numerical method have some places to improve and the determination characteristics of satellite of middle-low orbit, this paper presents a new numerical project of determination of obvious characteristics on condition that range of determination is not very long and the precision of determiantion is the meter grade, and is realized by a software.

鉴于分析法定轨和上述通常采用的数值法定轨都有各自可改进之处，本文针对一般中低轨卫星定轨的特点，在弧段不太长和定轨精度为米级的情况下，给出一种具有明显特点的数值定轨方案，且以软件具体实现了这种方案，并经受了实测资料的考验。

To assure parts' machining precision and to improve productivity, touch probe is used to inspect cylinder of parts on machining centers, thus coordinate of points on features are acquired from numerical control system by a data collecting program, and cylindricity error is calculated by computer. This method has broken the restriction of probe's macro processor that couldn't work out cylindricity error. Data saved in computer are beyond the limited memory of numerical control system, which improves operation speed.

为了保证零件加工精度和提高生产率，在数控加工中心中采用触发式零件检测测头对被加工件的圆柱面进行在机检测，并利用数据读取程序从数控系统内部提取被检测点坐标信息，在计算机内部完成圆柱度误差的计算，克服了零件检测测头自带宏程序无法对圆柱等被测特征进行误差运算的局限性；并且检测数据存储于计算机内，不再受数控系统内存小及运算速度慢的限制。

In this work, we mainly study the numerical analysis of bifurcation theory, especiallythe numerical computation of Takens-Bogdanov point in delay differential equations.

本文中，我们主要考虑分支理论的数值方法，具体而言，时滞微分方程中Takens-Bogdanov点的数值计算方法。

The velocity distribution curve by numerical computation near the wall is the same as the Blasius theoretical curve, and it approved that the numerical simulative solution is correct. Obtained the time dependent interface and pressure distribution, but also obtained the time dependent velocity distribution on the cross section. It is a new way to study the gas-liquid two-phase flow.

直接数值模拟圆管中气液两相分层流动不仅能得到相界面、压力分布随时间的变化情况，而且能得到圆管中各截面上速度分布随时间的变化情况，这为研究管道中气液两相流动提供了一个新的研究方法。

The numerical results show that our non-reflecting boundary condition and numerical methods are effective.

数值试验的结果表明，本文提出的无反射边界条件和数值方法均很有效。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样