查询词典 numerical method

Theoretical analysis and numerical experiments show that the ICRS method has better parallelism and scalability than the CRS method.

理论分析和实验表明ICRS方法比CRS方法具有更好的并行性和可扩展性。

The characteristic function of the probability density function of response variable is obtained by the high efficient multidimensional numerical integration method or convolution integral based on response surface method. Then the discrete probability density function of response variable is calculated using the fast Fourier inverse transform technique, at last the cumulative distribution function of the response variable can be quantitatively determined.

首先利用高效多维数值积分方法或基于响应面法的卷积积分求解功能函数的分布函数的特征函数，也就是进行Fourier正变换；然后利用快速Fourier逆变换数值求解功能函数的概率密度函数，进而求得失效概率。

The dynamic equations were derived for the vehicle-bridge coupled system with an axial force of bridge based on D Alembert's principle and the assumed mode method. The numerical results were obtained by Newmark-β method. Dynamic responses of the system caused by axial forces of bridge and speed of vehicle were discussed respectively.

应用达朗贝尔原理和振型分解法，建立了在桥梁轴向力作用下车-桥系统的动力学方程，利用Newmark-β方法，对车桥耦合问题进行数值求解，比较分析了桥梁轴向力、车速等对系统动力学响应的影响。

Based on the principle of the analytic hierarchy process, under the condition of the given pairwise comparison judgment matrix of the decision maker, a new method to determine the decision maker's priority vector for the comparison objects, called chain comparison method, is proposed with a numerical example illustrating its applicability.

基于层次分析法(analytic hierarchy process， AHP)的基本原理，在假定决策者两两比较判断矩阵已知的情况下，提出了一种根据两两比较判断矩阵确定决策者对决策对象的综合决策权重向量的新方法―链比较法，并用一个数值例示进行了说明。

For nonlinear harmonic oscillators systems of coordinate coupling and momentum-coupling, one obtains a group differential equations for physical parameters about flow parameter by the numerical analysis method, one finds this method can diagonalize the Hamiltonian.

通过数值分析物理参数随流参数变化规律，给出了对角化的哈密顿量。

Based on initial condition, during certain time span, numerical analysis method of differential equation, algebra iteration and optimization method are used to solve response of generalized system and to analyze stability of generalized system.

从初始条件出发，在一定时间长度上，采用微分方程数值积分法、代数迭代和优化方法来求解系统响应，获得非线性广义系统稳定性的数值分析方法。

The results of parameter analyses show that, the direct numerical integration method is much more accurate than JC method when the variables are nonlinear and have large variability.

因此本文依据直接积分的基本思想，通过理论分析解决直接积分法的几个关键问题，编制了能应用于可靠度计算的计算机程序，通过试题检验证明该法较JC法具有更高精确性，可用于结构系统可靠度计算。

Numerical experiments show that, with increasing the number of unit cell, n, the results got from RVE method under the Dirichlet and Neumann boundary conditions converge towards those the obtained by the homogenization method from the upper and lower sides respectively.

数值结果表明，Dirichlet型和Neumann型边界条件下的代表体元法所得结果随着参与模拟的单胞个数的增加，分别从上下界逼近均匀化方法的结果。

Compared with the same wave problems with conventional Dirichlet boundary conditions, the absorbing boundary conditions can reduce the numerical reflection on boundaries and avoid solution distortion. In addition, the central differences method is economic in memory requirement and computing time compared with implicit integral method.

结果表明：该解法在空间上具有谱精度，在时间上达到二阶精度；与第一类边界条件相比，吸收边界有效地削弱了边界上的数值反射，避免了解的失真；使用中心差分的时间积分方法同隐式积分方法相比，适合波的传播特性，避免了矩阵求逆运算，并且占用的计算机内存小。

It is usually that the solution for the Dirichlet problem can not be obtained actually. With the development of computers, people pay more and more attention to the numerical solution. Many ideas and methods have appeared. Among them the finite element method has become most popular. But the finite element method has some weaknesses and limitations too. First, it is not fit to higher-dimensional problems.

绝大多数Dirichlet问题的解析解往往难以得到，随着计算机技术的发展，Dirichlet问题的数值解法越来越受到人们的重视，新的思想和方法不断涌现，其中有限元法已经发展成为目前求解Dirichlet问题的最主要的数值方法，但是有限元法解决该问题时，存在着一些弱点和局限。

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