数值方法

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题，讨论了一种基于微分方程的变分形式求解方法，数值计算显示达到了较满意的精度，而且计算过程比起其他近似方法要简单

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

The research mainly focuses upon the unique deformation mechanism, forming method, quality control and parameter optimization, and the key technologies in Finite Element Analysis for the 3D Non-Axisymmetric thin-walled tube spinning. A CNC spinning equipment for the 3D Non-Axisymmetric thin-walled tube has been designed and manufactured based on the experimental investigation of the forming method.

着重研究变形机理、成形方法、质量控制及优化成形工艺参数，解决三维非轴对称零件旋压成形过程数值模拟关键技术；通过对成形工艺方法的试验研究，研制出能够旋压成形三维非轴对称薄壁空心零件的工艺装备。

The method is applied to the nonlinear interaction of a structure and a device for suppressing the str...

将所得到的方法应用到结构与TLD装置之间的耦合问题，数值计算结果验证了本文所推导的方法。

Then, all results of full stress-strain curve obtained are analyzed by statistical method, to study the estimation method of REV and deformation and strength of simulating rock masses

6最后，对不同尺寸的岩体模型进行大量的抽样数值模拟加载，对得到的应力—应变的全过程变化曲线，运用统计方法，对计算结果进行分析，探讨研究模拟情况下的岩体模型的REV及其变形和强度的估算方法。

There are strong convergence and reliability properties for these algorithms, so they are widely used in many fields.

中文摘要：信赖域方法是非线性优化中一类重要的数值计算方法，它具有良好的收敛性和稳定性，因此在许多领域都有广泛的应用。

Trust region method is a class of important numerical algorithms for nonlinear optimization. There are strong convergence and reliability properties for these algorithms, so they are widely used in many fields.

信赖域方法是非线性优化中一类重要的数值计算方法，它具有良好的收敛性和稳定性，因此在许多领域都有广泛的应用。

The effect of inter-block interaction can be taken into account by projecting the state of the superblock (with connecting sub-blocks, which are addressed"system"and"environment", respectively) into the system block to obtain the density matrix, the importance of each state derived by the density matrix is evaluated by the corresponding eigenvalue.

通过比较数值重整化群方法在Kondo模型中成功和在Heisenberg模型中失败的原因，得到能量最低的态不是强相关模型中的优选态的结论，从而引出密度矩阵重整化群方法。

In this paper, we give the method of solving the partial differential equations with the combine use of symbolic and numerical method, which is a new way of solving the extremely complicated partial differential equations.

本文作出了将符号计算方法和数值计算方法结合起来求解偏微分方程的研究工作，这是求解比较复杂的偏微分方程的新途径。

When s=2 and s=3, we give the numerical experiments and compare it with the numerical experiments of symplectic Runge-Kutta method.

当s=2和s=3时给出了数值模拟并与对应的龙格-库塔方法以及同阶的非辛方法比较。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐