数值方法

In this paper, the analysis indicated the result about modificative approximate calculating method of typical line, dovetailing into the experimental data. The calculation method, in this paper, can apply engineering analysis and design study of unsteady flow in the system of hydrodynamic piping network.

结果表明，本文推导的带修正的拟特征线数值计算方法的结果与我们的实验数据基本吻合，本文的计算方法可以应用到水力管网系统中非定常流动特性的工程分析与设计研究。

Nonmonotone trust region method applies nonmonotone technique to trust region method, which does not restrict a monotone decrease of the function value at each iteration.

非单调信赖域方法把非单调技术应用到信赖域方法中，不要求函数值在每一步都下降，有利于算法的收敛，特别是在坡度陡的低谷地带。

Euler method, single step method and one-leg multistep method are considered as maily numerical computation schemes.

本文分别采用显式Euler法，单步θ-方法和one-leg方法作为数值计算格式。

An improved Schur multistep method has been presented for controlling error severely cumulating and increasing computational accuracy.

为解决刚性问题中导函数项的"病态性"（导函数中同时含有较大参数和较小参数），本文提出了一种改进的Schur积多步法，数值实验表明，该方法能很好地抑制误差的急剧累积，与原方法相比，计算精度得到较大提高。

The aim of this paper is to suppress negative effect of noise on complex firing patterns of neurons and extract deterministic dynamical relationship underlying irregular interspike intervals. We first give a brief introduction to ISI data to be analyzed. Then a simple nonlinear noise reduction method based on chaos theory is presented. The method is finally used to analyze ISI data both from a theoretical model and experiments.

围绕如何来消除神经元峰峰间期序列中随机噪声影响从而提取出决定不规则性的确定性动力学关系这个问题，本文首先简要介绍峰峰间期序列样本的制备，然后着重讨论一个简单可行的混沌时间序列降噪方法的原理和算法实现，最终将该方法运用到神经元放电活动数值模拟和实验记录到的峰峰间期时间序列样本分析中。

To couple the method with FEM,discrete nodal line is introduced,and applied toSDTFM.With a similar process as SNDTFM,we can deduce a refined SNDTFM.

为适应复杂区域问题的求解，本文提出了离散结线的概念，将其应用到条形数值分布传递函数方法中，实现了与有限元方法的分区耦合。

In order to simulate the mechanical behavior of nonhomogeneous materials numerically, the traditional finite element method is improved in this dissertation and the finite element method with nonhomogeneous elements is developed.

为了适用于非均匀材料的数值计算，本文将传统的有限元方法进行了改进，推导了非均匀单元有限元方法。

Trust region method is a class of very important numerical algorithms for nonlinear optimization.

信赖域方法是求解非线性优化问题的一类重要的数值计算方法。

On the portfolio credit risk analysis, this thesis, based on the credit data's scarcity in China, puts forward a nonparametric method to measure the default correlation coefficients between China's listed companies, and then presented a numerical example to show how to use it in practice.

在组合信用风险分析方面，本文在以往研究的基础上，并针对中国信用数据十分稀少的实际情况，提出了一种对中国上市公司间违约相关系数进行度量的非参数方法，最后用一个数值例子来说明这种方法在实际中的应用。

Illustrations show the validities of proposed method by comparing with the normal polynomial methods.

数值模拟与仿真显示该方法比传统方法有更清晰的边界。

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。