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The stability of numerical methods for the linear Volterra delay integro differential equation was studied. A sufficient condition such that the implicit block θ-methods preserved the delay-independent stability of its exact solutions was obtained.

研究了线性中立型Volterra延迟积分微分方程数值方法的稳定性,给出了块隐式θ-方法保持系统解析解不依赖于延迟的稳定性质的一个充分条件。

Stokes problems of interior domain are discussed synchronously, and comparied with pure numerical method.

3采用自然边界积分与有限差分的耦合方法,求解了自然边界积分法无法直接求解的一般区域上的Stokes问题,探讨了内部区域Stokes流问题,并与纯数值方法的结论作了比较。

Then, the methods used for elastic mixed boundary problems, and the inverse integral transformation method may be employed to solve viscoelastic mixed boundary problems in time domain.

结合在求解粘弹性边值问题中的应用,对各类方法的特点进行了评述,并指出存在的问题及发展新的数值方法的研究重点。

Based on the recent situation and trend of the nonlinear systems, we present some recent developments and important problems in stochastic dynamics such as response, bifurcation , chaos, synchronization and control.

摘要介绍了非线性随机动力学的响应、分岔、混沌以及混沌同步与控制的研究现状和发展趋势,探讨了随机复动力系统、时滞系统、逼近方法和数值方法研究中的若干问题及其进展。

Analyzing the effection of calculated results under different calculated conditions,such as different time step,relaxation coefficient,numerical methods and wall difference methods.

分析了不同的时间步长、加速系数、数值方法和壁面差分方法对计算结果的影响。

The error growth of numerical method grows linearly with the stage of iterated matrix. A sufficient condition of bounded stability for linear θ-method is proved.

证明了数值方法的计算误差是随着迭代矩阵的级数线性增长的,又进一步给出了线性θ-方法有界稳定的一个充分条件。

Both the results for the numerical stability and the methods used in the stability analysis of the paper are new and valuable.

在随机延迟微分方程数值方法的稳定性研究中,无论是本文中得到的稳定性结论还是分析问题时使用的方法都是全新的,因此具有一定的价值。

First, we calculate out the zero point in a simple numeral method, then we get the phase according to the fact that the symbol of phase changed is opposite in the positive-slope and the negative-slope of triangle wave. This method has the following characteristics: easy to calculate, simple to realize and high precision.

首先用简单的数值方法较准确的计算出零点时刻;进而根据三角波扫频时正程和逆程相位变化符号相反的特性,巧妙的完成了相位计算,该方法具有计算简单、实现方便、准确度高等特点。

The finite volume method is an important effective discretiza-tion technique for parti...

有限体积方法是一种有效的求解偏微分方程的数值方法

There are two kinds of method in common use. One is numerical method, and the another one is analytic approximation which is represented by perturbation method.

常见的方法有两种:一种是数值方法,二是以摄动法为代表的解析近似法。

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