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An explicit finite difference scheme is constructed to simulate Baldwin-Barth one-equation turbulence model. By using Von Neumann analysis method, its stability condition is obtained.

在非结构网格上构造格心显式格式求解Baldwin-Barth-方程湍流模型,并运用Von Neumann稳定性分析方法,给出〓格式稳定性条件

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识,运用Lax-Milagram定理等,从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题,得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

Moreover, the stability of the FETD in inhomogeneous media has been discussed, and the condition for stable solution has been given.

并对非均匀介质中的时域有限元的稳定性进行了深入地讨论,给出了其稳定性条件

And the convergence, compatibility and stability of the LLA based on the LTP are discussed with some theoretical analysis and numerical experiments, and the stability condition of the LLA is given.

对基于LTP的LLA方法的收敛性、相容性和稳定性进行了理论分析和数值实验,给出LLA的稳定性条件

The stability of the helical equilibrium is analyzed with phase plane method, and an analytical criterion of stability is revealed.

用相平面法分析螺旋线平衡的稳定性,导出解析形式的稳定性条件

In the third chapter, the contractilities and asymptotical stabilities of neutral delay integro-differential equations are concerned. The extended Runge-Kutta methods, with the compound quadrature formula and the Pouzet quadrature formula, are numerically stable under suitable conditions. The numerical experiments prove this result.

第三章,研究了中立型延迟积分微分方程,其理论解的收缩性和渐近稳定性,利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法,并获得了数值方法的稳定性条件,随后的数值试验结果进一步证明了方法是数值稳定的。

The stability of two applications above is verified using the obtained stability conditions in this paper.

并用本文的稳定性条件对以上两个应用的细胞神经网络的稳定性作了验证。

The analysis of stability shows the stable conditions are obviously satisfied.

通过稳定性的分析,指出其稳定性条件是显然满足的。

Different from most of the existing stability conditions, our stability criterion is independent of delay and has a very simple form which is easy to verify.

与大多数现有的稳定性条件不同,我们的稳定性判据与时延无关且具有非常简单的形式,易于验证。

Existence and uniqueness of the variational solution are established.

详细分析了半离散化格式的稳定性,给出了格式的稳定性条件

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