数值方法

So the most important aspect of the finite element method is the validation of the results.

有限元方法是当今应用最为广泛的数值计算方法，是许多工程设计的重要工具。

This grey method is an analysis one for small sample finite sequence, which can be used for judging the convergence rate of a convex-concave sequence, or an irregular curve sequence, or several irregular curve sequences, and for comparing one with another, and can be also employed in other field.

该灰色方法是一个有限序列小样本的分析方法，它不仅可以用于凸凹单个序列的收敛速度判断，也可以用于一般情况的单个序列的收敛速度判断，而且，它还可以用于多个序列的收敛速度判断和相互比较，以及在其它领域的数值分析。

Secondly, produces dynamical modeling equations based on generalized dynamical equation and concepts of equivalent system and vector of force, the expression is concise, standard and convenient for using with computer normatively.

最后应用该方法对2-DOF平面并联机器人机构进行了数值计算，通过和ADAMS的仿真结果进行比较验证该方法的正确性和有效性。

After compared with other several numerical analysis methods, Fourier series fitting method is applied to calculate the parameters of motion of the mechanism.

最后通过对几种数值计算方法在计算机上进行实际计算比较，确定采用基于最小二乘原则的Fourier级数拟合方法计算出机构的运动参数。

The sufficient conditions for achieving synchronization of this fractional differential system are derived by using the stability criterion of fractional linear equation.

用三种不同的方法考虑分数阶Lorenz混沌系统的修正投影同步，基于分数阶线性方程的稳定性理论给出了实现同步的几个充分条件，数值模拟说明了所给方法的有效性。

Methods From the fundamental equation in Laplace domain, using Multiple Reciprocity Method-Boundary Element Method, the integral equations and the boundary integral equations are derived and solved numerically.

方法由 Laplace 变换域中的基本方程出发，利用多重互换边界元方法，得到了积分方程和边界积分方程，并求得数值解。

This method gathers the analytical and numerical calculation.

该方法是集解析与数值计算为一体的混合分析计算方法。

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

In this paper, combining the technique of parallel computation with the numerical method of 3D eddy current field, we designed the algorithms of generating mesh, forming finite element equations and solving them in parallel on a shared memory multiprocessor (SGI Challenge L 8 CPUs), and presented a concrete and effective method.

本文将并行计算技术和三维涡流场计算方法相结合，对三维涡流场有限元分析的并行处理技术进行了细致的研究，设计了基于共享内存并行计算机(SGI Challenge L 8 CPUs)的网格剖分并行算法和三维涡流场有限元方程形成和求解的并行算法，为数值求解实际三维涡流问题提供了一种有效途径和具体方法。

Surface plasmon resonance technology was introduced into the testing study of the refractive index of biological tissues, whose testing theory is discussed theoretically. Considering the environment and other influences, an Au film of 50 nm was selected as the wafer film. Relative experimental setup for SPR method were designed and established. The experiment was carried out with distilled water, grain alcohol and Intralipid~, whose results had a good consistency with the data obtained using traditional methods.

将表面等离子体共振技术引入到生物组织折射率测量研究中，从理论上，探讨了该方法的测试原理；进而考虑了环境影响等各种因素，采用50nm的Au膜作为基质膜，设计并研制了相应实验装置；对蒸馏水、无水乙醇以及仿生物组织溶液Intralipid~(TM等样品进行了实验测量，测得折射率值与文献报道的用传统方法测得的数值吻合较好。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。