查询词典 numerical analysis

In the numerical simulation analysis, a Galerkin finite element method with arbitrary Langrangian-Eulerian coordinate is adopted to solve the flow and thermal fields for moving boundary problem.

又采用的数值模拟为Arbitrary Lagrangian-Eulerian座标描述系统，配合葛拉金有限元素法，处理此种流体与固体介面间相互影响的问题。

To analyze the rounding error of calculator floating-point numbers arithmetic operation is the foundation of numerical calculation method's error analysis.

对计算机浮点数算术运算的舍入误差进行分析，是对数值计算方法作误差分析的基础。

Performance analysis and plenty of numerical simulation shows that the robust multiuser detector and its adaptive version have excellent performance of output signal-to-interference-plus-noise ratio, bit error rate, asymptotic multiuser efficiency and robustness even existing stronger MAI.

理论分析和仿真实验表明，即使在较强的多址干扰条件下，稳健的盲线性多用户检测及其自适应实现展示了优异的误码率、信干噪比以及渐进多用户有效性性能，对特征波形失配具有较强的稳健性，且自适应算法能快速收敛至稳态解。

The error analysis of asymptotic approximation of finite series expansion is also given. Our method avoids choosing the integral length of the reentrant comer, and can be used to calculate the charge on the conductor conveniently and efficiently. Numerical examples are presented to demonstrate the efficiency of the method.

本文算法克服了邓肯矫正需要选择角点积分区域的不足，有效地校正了导体角点奇异性引起的电容参数提取的计算误差，最后给出了算法的数值实验与分析结果。

Initial random imperfections of composite panels are assumed to be Gaussian random fields and simulated numerically from their mean and autocovariance functions. Lindstedt-Poincare's perturbation technique is employed to solve the resulting nonlinear equation in the vibration analysis of imperfect composite panels. Monte Carlo analyses are performed for detailed numerical calculations.

层板之随机性几何缺陷以高斯随机场来描述，并利用其平均值函数及自方差函数来做数值的模拟；以Lindstedt-Poincare微扰方法来处理缺陷复合层板之非线性运动方程式，并使用蒙地卡罗法来做详细的数值分析。

The Schur subspace iteration method is applied for the dynamic characteristic analysis of damped structure vibration system and coupled fluid－structure system. This method avoids complex computation and has good numerical stability. A accelerated technique and a pre－process method for the system matrix are suggested to improve the computational efficiency. The generalized uncoupled equation is obtained from the Schur matrix and a back substitution scheme of response computaton is developed.

第三部分将非对称特征值问题的Schur子空间迭代法应用于非经典阻尼结构振动系统和流固耦合系统的特征值分析，建立了相应的具体算法，并给出了用以提高迭代收敛速度的迭代加速和矩阵预处理等实用技术；利用Schur矩阵的结构特点，推导了系统方程的动力解耦形式，给出了响应计算的回代求解格式。

The results of prediction agree well with the experimental ones. It proves that the thermo-mechanical analysis、the neural network models of flow stress and microstructure as well as the numerical simulation system developed combining coupled thermal-mechanical rigid-viscoplastic FEM with BP neural networks are reliable to describe the hot back extrusion process of Ti15-3 alloy truly. The simulation system has good prediction capacity for the microstructure evolution of Ti-15-3 alloy during hot backward extrusion and after solution treatment. It can be used to replace the experiments for predicting the flowing laws and the distribution of microstructure.

由此证明，本文的热力耦合理论分析、流变应力及显微组织的神经网络预测模型以及采用三维热力耦合刚粘塑性有限元与三层向后传播的人工神经网络相结合的方法开发的Ti-15-3合金筒形件热反挤成形的显微组织数值模拟系统是可靠的，能够真实地描述Ti-15-3合金热反挤工艺过程，并对其反挤成形及固溶处理后的显微组织具有很好的预测能力，可以被用来代替预测其反挤成形规律和组织分布情况的试验。

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

Took Chongqing Gong-he tunnel as an engineering example and studied the failure mechanism of surrounding rock and the correlation with bolt support system by using the methods of theoretical analysis, modeling test, numerical simulation and in situ test, some helpful conclusions were arrived as follows.Firstly, a new failure criterion for transversely isotropic rock mass was proposed with consideration of bedding plane orientation and major principal stress, and the corresponding algorithm, arrived through VC++6.0, can be easily embedded into the software FLAC3D for the geotechnical calculation.

论文在国家自然科学基金专项基金创新群体基金项目(No.50621403)以及国家自然科学基金重点项目"隧道与地下空间工程结构物的稳定性与可靠性(No.50334060)"的资助下，以共和隧道为示范工程，运用理论分析、物理模型实验、数值模拟和现场测试等手段，对共和隧道大埋深段层状岩体的围岩变形破坏机理、锚杆支护力学效应及围岩-支护结构的变形特征等内容进行了研究，其主要研究成果有：①在总结和探讨国内外学者提出的层状岩体经验型连续介质破坏准则基础上，结合层状岩体力学特性，考虑层面方向和最大主应力方向两个影响因素，提出了共和隧道层状岩体横观各向同性破坏准则；采用汇编语言VC++6.0实现了横观各向同性弹塑性本构关系的算法，并嵌入FLAC3D有限差分数值分析软件接口中实现数值运算。

Numerical simulations performed on other typical reaction-diffusion models confirm this analysis and suggest that our findings are robust and independent of the type of bifurcation, and even whether the system is close to or far from the bifurcation point.

这些结果，不但与具体的模型没有关系，而且也不依赖于系统所经历的Hopf分岔的类型，甚至系统是否远离分岔点。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新