计算的

Using this method, the crystallography calculation about the matrensite transformation in the Fe-31Ni alloy has been finished.

并对Fe-31Ni合金的马氏体相变晶体学进行了计算，计算结果与传统理论计算的结果完全一致。

Polynomial fitting was used to map out the pressure distribution curve of numerica...

与通过试验数据计算出的结果相比，数值模拟计算出来的轴向力相对误差在9%以内，而经验公式计算的轴向力相对误差为14%，采用数值模拟方法计算轴向力具有更高的精度，对多级离心泵轴向力平衡的研究具有指导意义。

We compare the parallel characteristics of spectral element and finite difference from the point of view of communications, communication-to-computation ratio and scalability.

结合以矩阵矢量乘积为主的迭代计算特点，从通信量、通信计算比和并行可扩展性等方面比较分析了离散格式对于并行计算的影响。

One of the characters about calculation in nonlinear finite element is that there are so many data types, huge and complex results that it causes the hugeness of workload about the calculating process and result.

非线性有限元计算的特点之一是数据类型多，计算结果的数据量庞大而复杂，由此导致了对计算过程和结果处理中工作量巨大甚至无法实现。

Classic technique is the Newton-Raphson iterative. But when the system grows much bigger, the computing is much more hugeness. And it is very difficult to get the result in a short time under the current hardware and software situation.

经典的潮流计算方法是采用牛顿拉夫逊法迭代计算，但是随着电力系统的规模的增大，计算量异常庞大，在现有的软硬件的很难在短时间内得到潮流计算的解。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面，本文基于Morino等人的工作，作了如下几方面的改进：（1）在计算定常跨音速流场（作为非定常绕流计算的初场）时，本文采用松驰迭代法直接求解跨音速定常非线性积分方程，而不是采用时间相关法求解非定常非线性积分方程，这样大大节省了计算机时；（2）将以体积分形式出现的影响系数化为面积分，并获得解析公式，这样便于分析和编写程序；（3）对运动的激波，本文通过在每一个时间步长上采用激波捕捉法而得到，而不是在积分方程中附加激波运动项，因而处理起来简单方便得多。

Based on the inverse mapping with linear deformation, the geometric mapping was used to carry out the second element transformation in order to avoid the abnormality of the stiffness matrix and to improve the stability and the convergence of the numerical calculations.

在现有线性变形逆向映射法的基础上，采用几何映射法计算变换单元，避免单元刚度矩阵出现畸形，提高钣金展开有限元逆算法的稳定性和收敛速度，对几何映射法与投影法所计算的变换单元进行了对比，数值计算结果表明用几何映射法计算的初始估算展开料形状更接近于最终的钣金件展开形状。

The author also writes a great amount of numeric computational sub-programs and programs too, almost include all respects of structural numeric computation using Daubechies wavelet. These programs not only test and verify the correlation results in this thesis, but also lay a strong foundation for expanding the application space of Daubechies wavelet in structural numeric computation.

本文还编制了大量的数值计算子程序和计算例程，几乎囊括了Daubechies小波有关结构工程数值计算的所有方面，这些程序的编制，不仅验证了本文的相关结论，同时，也为后续进一步拓展Daubechies小波在结构工程数值计算领域的应用空间打下坚实的基础。

To study the limit behavior of computations, the procedure scheme (Li, 1992, 1999) is generalized to model convergent infinite computations for analyzing how an infinite computation interacts and evolves in changing environments and what the limit of the evolution might be. The model is based on classical computation model Turing machine and Li's limit theory of sequences of formal systems.

收敛无穷计算的模型过程模式：本文将李未提出的过程模式推广为更一般的刻画收敛无穷计算的模型，该模型是基于经典计算模型Turing机和形式系统序列及其极限的理论的，可以用过程模式刻画网络上长期运行程序的计算特性与动态行为。

The results show that proper use of numerical calculation procedure can reduce numerical error dramatically.

结果显示，采用适当的值计算方法，仅可以低计算，能够大幅低误差，根据实际计算的结果，可低444倍。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。