查询词典 multistep method

A new nonlinear multistep method is constructed based on the implicit Euler method in this chapter, named Schur product multistep method.

本文在隐式Euler方法的基础上构造了一种非线性多步法，即Schur积多步方法。

A non-stiff transformation method is presented in this paper, based on the above theory, general Schur product multistep method is put forward.

本文讨论了刚性常微方程的非刚性转化方法，在此基础上，获得一类广义Schur积多步法（通过这种非刚性转化方式，显式Euler方法将成为一个A-稳定的方法）。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

The properties of the general linear multistep method for piecewise smooth dynamics of mechanical systems are analyzed and a picewise smooth vibration model is introduced. Some numerical experiments on the vibration model are made and several improved integration methods are presented.

采用Taylor级数展开方法，分析了常用的线性多步法在非光滑机械动力系统中的计算精度特性，建立了一个非光滑的机械振动系统检验模型，给出了典型的计算实例，并提出了几种改善计算精度的措施。

In both the cases we provide necessary conditions for any linear multistep method applied to delay differential equations and neutral delay differential equations to be τ(0)-stable and Nτ(0)-stable respectively.

针对这两种情况，分别给出了线性多步方法关于延迟微分方程τ（0）-稳定及中立型延迟微分方程Nτ（0）-稳定的必要条件。

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。

It is proved that if the RungeKutta method and the linear multistep method are of order p, then the numerical Hopf bifurcation value is an approximation to the Hopf bifurcation value of the equation itself of the same order p.

证明了如果Runge-Kutta方法和线性多步法是p阶的，那么数值Hopf分支值以相同的阶数p逼近于方程本身的Hopf分支值。

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。

Otherwise, we construct an exponential fitting schur product multistep method based on schur product multistep method and exponential fitting method.

数值实验表明，该方法与传统方法相比，在同等步长下，方法的计算精度远远高于传统方法。另外，本文将此类指数拟合方法与Schur积多步方法结合起来，构造了一类指数拟合Schur积多步方法。

Multistep method is the first method applied to DAEs.Because of some reasonsin history,all algorighms for DAEs come from those for stiff ODEs,mainly thebackward difference formula.

多步法是最早用于直接求解微分代数方程的方法，由于历史上的原因，长期以来使用的公式都是由刚性常微分方程的求解公式导出的，主要是向后差分公式。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失