查询词典 descent method

Comparing some coefficients by complex images method with that by analytical formula or numerical quadrature, the computing method of the model is examined to be efficient and accurate.

通过计算考察基于复像方法的有关系数证明了该模型的准确性，并给出了不同入射方向的界面上刚性球体和弹性球壳的散射声场算例，对目标散射幅度的分布以及随角度的变化规律做了分析。

Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.

根据Bubnov-Galerkin法，结合基于求积公式的数值方法，将问题简化为求解具有松弛奇异核的非线性积分－微分方程的问题。

After a series of study of numerical method related to impact dynamics, such as the transient finite element discretization method of conservation equations, numerical quadrature and hourglass control, the identification and redefinition of sliding interface and so on, the dissertation is aimed at to study a high efficient.

在分析八节点六面体单元出现沙漏变形的物理原因的基础上，通过引入抗沙漏节点力消除了因单点积分引起的各种沙漏模态。

The objective of this study is aimed at the implementation of parallelized numerical quadrature routines. The algorithm we choose for numerical quadrature routines is the so called "Adaptive Romberg Tree integration scheme"(abbr."ARTint") proposed by Lin et. al.[1997]. This numerical quadrature scheme can arrange the function evaluation points adaptively in accordance with characteristic of the trend of variation in integrand function values. When the accuracy of the numerical quadrature value is requested to be increased, a newer and larger set of function evaluation points must be incurred. The main advantage of ARTint method is the inclusion of all function evaluation points used in previous stages. It is this feature of ARTint method that makes it a quadratue scheme with prominent computation efficiency.

本研究在探讨数值积分程式之平行化，所使用的演算法为林聪悟与林佳慧[1997]一书所提出的「Romberg树自动布点数值积分」架构，此一数值积分方法能以适应被积函数值变化情形方式自动安排积分点来进行数值求积计算，在提高阶数以获得更高精度积分值的过程中，此一方法只须再计算新增加积分点的函数值，搭配先前已计算过的函数值的重覆运用即可获得更精确的数值积分估计值，如此将能减少升阶过程中函数求值计算的次数，有效率地完成单重积分的数值计算。

In order to show the feasibility of this method, the calculating results are compared between by Voltrra series and by numerical method, and the two methods have a good coincidence. In the end of this chapter, each order transform function is calculated by using Voltrra series to analyze the feature of frequency domain.

对滞回系统的周期运动及混沌性态的研究还未见有过报道，本文对滞回系统在特定条件下的周期运动和混沌性态作了探索性的研究。

In this paper,the method of interpolation for the numerical solution of tridiagonal system of linear equations is popularized,and another method of interpolation for quasi-tridiagonal system of linear equations is proposed.

文章将求解三对角线性方程组数值解的插值法进行推广，得到一种求解拟三对角方程组的插值算法。

In this paper,based on the characteristic of the tridiagonal matrix,the method of hypothetical coefficient is used for the numerical solution of tridiagonal system of linear equations,this method will be compared with the LU resolving

文章将根据3对角矩阵的特征，用待定系数法求解3对角线性方程组的数值解，并与常用的LU分解法从理论分析和数据实验两方面进行比较，结果表明，两者的时间复杂性前者稍差，而精度两者则相当，最

The natural frequency can be calculated using the numerical value method for the equation and a facility method to solve the natural frequency of chain structures is obtained.

建立了随机性结构参数的链式机械系统动力特性分析模型，利用Monte Carlo数值模拟方法获得系统的特征值随机变量的数字特征。

Non-linear finite element method is an important method to numerically simulate materials processing and preparation.

非线性有限元法是材料加工与制备过程数值模拟的一种主要方法。

To evaluate the influence of Chinese nutgall water extract on the toxic effect of LPS to HDPCs, MTT method was used to examine the influence of Chinese nutgall extract on the inhibitory effect of LPS to HDPCs'proliferation, TEM was used to examine the effect of Chinese nutgall extract on the damage of HDPCs'ultrastructure by LPS, a modified enzyme dynamical method was used to examine the influence of Chinese nutgall extract on the inhibitory effect of LPS to HDPCs'ALP activity, radioimmunoussary was used to examine the effect of Chinese nutgall extract on the production of IL-6 from HDPCs stimulated by LPS.

本研究通过细胞培养技术、MTT实验、放射免疫检测法及透射电镜观察等方法观察五倍子水提取物对LPS抑制HDPCs增殖和HDPCs的ALP活性，LPS损伤HDPCs超微结构，LPS诱导HDPCs分泌IL-6的影响，探讨五倍子水提取物拮抗LPS对HDPCs的毒性作用。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。