计算

In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式环境下计算对称带状广义特征值问题的一种扩展分治算法，给出了特征值分割定理及其证明算法在扩展分治的基础上，利用二分压缩结合广义Rayleigh商迭代计算广义特征对理论分析和数值实验表明，对于窄带宽大规模的广义特征值问题，该分治算法明显优于LAPACK软件包结合并行性好的多分法，在分布式环境下获得了很好的并行效果1 引言本文研究了对称带状广义特征值问题Ax =λBx ( 1)的并行计算，其中，A ，B均为半带宽为r的n阶实对称带状矩阵且其中之一是正定的本文总假设B是正定的求解此问题有两种传统方法，第1种方法是通过计算矩阵B的Cholesky分解，将问题( 1)转化为标准特征值问题[1～3] ，进一步

Driving force of wheel on soft lunar soil is much different with wheel on the ground of the earth.Wheel sinks and slides easily on lunar soil.The driving force formula of wheel based on Bekker formula is much complex,for forecasting driving force,curve fitting based on least squares method was introduced to simplify formula driving force.The driving force can be calculated through measuring wheel sinkage and slide.

基于Bekker轮-地力学理论的车轮驱动力计算公式复杂，不适合直接计算，为实现车轮驱动力预测，为车轮驱动力优化提供计算基础，本文采用基于最小二乘法的数据拟合方法对车轮驱动力进行数值拟合计算，为实时的车轮驱动力预测提供可行的方法，从而实现对车轮驱动力的优化。

Theretore the finite element method of calculating the temperature field of rolling tire and the computer programs presented by the paper is reliable. Further work to study and improve the calculation to make error smaller should be done to get a faster, more precise and more reliable calculation program of temperature field for tire structure design.

因此，论文给出的滚动轮胎温度场的有限元计算方法及其计算程序是可靠的，研究和改进计算中产生误差的原因，使之更完善，必将可为轮胎结构设计等提供快速、精确、可靠的滚动轮胎温度场的计算软件。

It is to divide the flow units, and then calculate the single well controlled reserves regarding the flow unit as the calculating unit, finally, compare and analyze the results from this method, single well controlled area method and dynamic pressure drawdown method respectively. The comparison result proves the scientificity and practicability of the flow unit method.

最后与通过划分单井控制面积法计算得到的单井控制储量及通过动态储量计算方法计算得到的单井动储量进行对比分析，其结果论证了流动单元法计算单井控制储量的科学性和实用性，使流动单元的研究在低渗透气田油藏精细描述中得到了进一步的推广和应用。

Bsed on real circumstances of TV transmitting station,the artiele presents a methodof calculation of field strength in case the radiowave is affected by ground objectsand meteorological conditions,and that of approximate calculation of field strengthIn penumbra areas,and so on,A method of calculating field strength in city is alsopresented with int...

文章从电视发射台的实际情况出发，介绍了电波受地物、气象等影响时的场强计算方法和半阴影区的近似场强计算方法等。还介绍了在城市的电波计算中，引入"建筑物密集度"参数的场强计算方法。

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

The resistance coefficient of branch flow is calculated by adopting Cardel formula,the computed results of practical examples tallies well with the measured results of the prototype,providing a reference for the water distribution system design and design optimization of a natural draft cooling tower.

采用Cardel公式计算分流阻力系数，实例计算结果与原型实测结果吻合良好。该水力计算方程可供逆流塔配水水力计算及设计优化参考。

Secondly,traditional calculation theory on configuration of main cable of cable suspension bridge was introduced such as parabola theory,segmental catenary curve method,segmental parabola method and segmental line method.At last,two calculation theories on the stability of bridge was put forth.

具体内容如下：(1)首先分析了影响自锚式悬索桥非线性的几种因素，然后介绍了悬索桥的传统线形计算理论——抛物线理论、悬索桥主缆线形计算的精确方法——分段悬链线方法以及分段抛物线法和分段直线法，最后介绍了桥梁稳定性计算的两种计算理论。

Then the boundary element integral equation of interior and exterior form is deduced in detail, also the form with corner coefficient. The significance for numerical calculation and principle of the singular integral is analyzed, and a non-isoparametric transformation method is presented to calculate weak singular integral and Cauchy integral, the method presented provides us a very simple way to computer the two kinds of singular integral of Helmholtz boundary integral equation, and it is easy to program in computer. After the difficulty of the calculation for multi-frequency of Helmholtz boundary element is explained, a method named SECHIEF (Series Expansion Combined Helmholtz Integral Equation Formulation), which is focused on the computational efficiency, is presented.

对结构声辐射的边界积分方程的内部形式与外部形式进行了详细的推导，给出了角点系数的计算方法与边界积分方程的形式，在此基础上，分析了奇异积分产生的原理及其对数值计算的重要性，提出了一种计算奇异积分的非等参(来源：Ae8a8BC论文网www.abclunwen.com)单元的变换方法，该方法给Helmholtz 声学边界积分方程中的弱奇异积分与Cauchy 奇异积分的计算以及编程提供了极大便利。

Compared with the FFT-based computation to CAF, the presented method can scan the target only in certain circular sector instead of the whole ambiguity plane, which may decrease the computational load.

与基于FFT计算互模糊函数的方法相比，采用这种方法的优点是在检测目标时可以只扫描某个环形扇区而不用计算整个模糊平面，减小了计算量；另外，由于在计算互模糊函数时极角和极径的取样间隔可以任意选择，突破了时域采样间隔的限制，可在时延和频移上均得到高精度估计。

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。