数值方法

The precision of integration can be evidently improved by using smooth function transition, adaptive step size change method, implicit integration and predictor corrector method. Increasing the order of the LMM may not improve the precision in this case.

采用光滑函数过渡、自适应变步长技术及隐式和预测校正等方法，可以有效地提高数值计算精度，而提高方法的阶次不能有效提高精度。

Basing on the variation principle of solid-fluid coupled problem,on the situation of the tank being full filled,the essential method and principle have been found by using the numerical approximation of finite element method.

在罐车满载的情况下，根据固液耦合问题的广义变分原理，使用有限元的近似数值计算方法，找到解决满载罐车液固耦合振动问题的基本方法和原理，建立铁路罐车的固液耦合问题的动力学控制方程，并通过算例验证液体对罐车耦合振动的影响，得到在工程上所需要的分析结果。

Comparisons between the interval analysis method and the probability perturbation finite element method in mathematical proof and numerical examples are performed, which show the advantages of the presented method, including less prior information need on uncertain parameters and higher accuracy.

从数学证明和数值算例两方面，将其与概率摄动有限元法进行了比较，结果显示区间分析方法对不确定参数先验信息具有要求较少、精度较高的优点。关键词动力响应，非线性振动系统，区间分析方法，概率摄动有限元法，不确定参数

The flow fields around a prolate spheroid were investigated by numerical simulation and experiments when the flow is both in laminar state and in turbulent state.

本文利用数值模拟和实验方法研究了层流和湍流状态下绕椭球的流场，主要目的是探索复杂流动情况下的湍流计算方法。

Many learning approaches to knowledge acquisition have been promisingly developed recently. A popular and efficient method for decision tree induction from discrete data is ID3 algorithm.

许多知识获取的学习方法一直持续发展，一个普遍且有效的方法，主要是对於非连续数值资料的决策树归纳，称为ID3演算法。

In order to study the various damage diagnosis methods, the finite element method hasbeen used to found orthogonal quadrangular pyramid steel grid numerical model.

为了研究各种损伤诊断的方法，本文利用有限元方法模拟了一个两向正交正放四角锥网架，以此作为数值试验的模型。

If the method is combined with the subdivision method of curve,the rational spline curve with higher-order continuity is presented which is the approximation of offset curve.

该方法与离散算法相结合，可得到等距曲线的高阶连续的有理样条逼近曲线，最后，通过数值实例与已有方法作了比较。

The fields radiated by these currents in the presence of curved earth are then calculated using the reciprocity theorem and the known ground wave propagation formula of a vertical electric dipole S.

在数值结果验证了该公式的正确性之后，对海面上一金属半球的散射场进行了求解，并以此与工程应用中的近似方法相对比，考察了工程应用方法的近似程度。

The relaxation method is a numerical calculation method to solve two boundaries problem.

松弛方法是解两点边值问题的一种数值计算方法。

Comparing the results obtained from the method of renormalization and of the form factors, one finds that if we adjust the parameters, it is possible to make the two sets approach each other better.

我们把用这种方法得到的结果与重整化的结果比较，发现在计算强子传播子时，这两种方法的数值结果近似。

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。