数值方法

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

On the other hand, by using recent numerical methods, a series of effective numerical methods to analyze magneto-electro-elastic solid problems can be also developed, which is applied to analyze the piezoelectric multi-layered composite plates etc.

另一方面，利用已有的优秀的数值方法，建立一系列有效的电磁弹性固体以及压电层合板等问题分析的数值方法。

Moreover, some results about the stability of different numerical methods for the delay system are also itemized.

进一步，又对各种计算方法的数值稳定性进行了回顾，概述了各种常用的数值方法求解延迟微分方程所取得的理论结果。

Therefore,it is necessary to research diffusion equation for suspended sediment because it describes the sediment move process in the water body.The equation is a various coefficients second-order linear partial differential equa-tion,such equation under complex boundary condition is very difficult to get its analytical solution,while its numerical solution relative analytical solution is more easier and has the obvious superiority:simple,the computation convenience.but to get a kind of difference format which is good accuracy and stability is not easy.

泥沙扩散方程实际上是一个变系数的二阶线性偏微分方程，这样的方程在各种复杂边界条件下求解是十分困难的，求它的解析解在数学上存在着难以克服的障碍，无法求出其精确解，因此常用数值方法求它的近似解，相比较而言，数值方法有着明显的优势：即简单灵活、计算方便快捷，但要寻找一种精度高、稳定性好、计算方便的差分格式也并非易事。

As examples of applying our method, the quantum vacuum effect induced by two moving boundaries is studied in the case where the two mirrors oscillate resonantly.

把求解具有单动边界时的Moore方程的数值方法推广到双动边界情形，提出了广义Moore方程的数值求解方法。

Consequently, numerical results are used to reveal the effects of the dielectric superstrate to the characteristics of the antenna and are compared with the results from pub-lished references and other numerical solutions for demonstrating the accuracy of the analysis.

最终，通过数值结果揭示出了覆盖介质层对天线特性的影响并且与已发表文献及其他数值方法的结果进行对比，证明了方法的正确性。

In the paper, the steady flow is also included to check the effect on the nonlinear forces with the different wave headings and different side-hull arrangements. From the comparisons of the theory and experiment, we find that the present technique can well predict the added resistance and lateral drifting force for the trimaran ship advancing in waves.

本论文将数值分析之结果与实验值做比较，来验证数值方法分析之正确性，并将稳态项、不同入射波波向以及不同副船体配置的影响加入考虑，来预估三体船在波浪中航行时的附加阻力和横向漂流力，从比较结果可看出本方法预估附加阻力及横向漂流力已有相当不错的结论。

Based on the linear wave-making numerical method, the investigation on nonlinear wave-making numerical method by using a Rankine source method is presented in this paper.

本文在线性兴波数值方法的基础上，利用Rankine源法开展了非线性兴波数值方法的研究。

The hydrologists often use a graphical or numerical method to analyze pumping test data for estimating aquifer parameters based on the homogeneity assumption.

过去在检定地下水含水层的参数，大多利用抽水试验，再以图解法或数值方法来分析泄降数据以推求参数值，但这些方法皆假设水层为均质。

During the lateral parabolic profile was computed,numerical methods of calculating angle of inclination on initial point of the lateral paracurve and calculating angle of inclination based on interval length were analyzed.It is pointed out that the key of the lateral parabolic profile design is a circular function equation which can be applied to solving the angle of inclination on initial point of the lateral paracurve.

对侧位抛物线剖面设计求解过程中的求侧位抛物线初始点井斜角的数值方法和从段长求井斜角的数值方法进行了分析，指出其关键是求解侧位抛物线初始点井斜角所满足的一个三角函数方程。

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。