The efficient selection of relevant extents is an important issue for investigation in formal concept analysis. The notion of stability has been adopted for this reasoning. We present three different methods for evaluation of stability and we summarize the comparative remarks.

In this paper, we propose a new exact closed form mutual inductance equation for on-chip interconnects. We express the mutual inductance between two parallel rectangular conductors as a weighted sum of self-inductances. We do not place any restrictions on the alignment of the two parallel rectangular conductors. Moreover, they could be co-planar or reside on different layers. Most important, ex...

In this paper, new delay-independent asymptotic and exponential stability conditions of linear discrete delay systems based on the LyapunovKrasovskii method have been derived. A numerical example has been developed so as to show applicability of the derived results.

This paper analyses the accuracy and numerical stability of coupling procedures in aeroelastic modelling. A two-dimensional model problem assuming unsteady inviscid ow past an oscillating wall leads to an even simpler one-dimensional model problem. Analysis of different numerical algorithms shows that in general the coupling procedures are numerically stable, but care is required to achieve acc...

In this paper, the numerical stability of a partial differential equation with piecewise constant arguments is considered. Firstly, the θ -methods are applied to approximate the original equation. Secondly, the numerical asymptotic stability conditions are given when the mesh ratio and the corresponding parameter satisfy certain conditions. Thirdly, the conditions under which the numerical stab...

In this technical note, we develop a numerically reliable method to design an interactor for a general descriptor system relative to a stability region and an offending zero set . Our main result is based on a condensed form. This condensed form is independent of the offending zeros , and is computed using only orthogonal transformations and hence is numerically backward stable.

We describe a method for computing the controllable subspace of a linear periodic discrete time system. The method is based on the ordered periodic Schur form 1] by reducing the state equation to a convenient form in which the controllable/uncontrollable states are clearly displayed. Its attractive features are simplicity, numerical accuracy and stability.

After presenting a survey of theoretical results concerning the structure of two-dimensional QCD, we present a numerical study related to the mass eigenstates and the decay amplitudes of higher mesonic states. We discuss in detail the fate of important dynamical points such as stability of the spectrum and the problem of screening versus confinement in this context. We point out differences in ...

To depict the rule of epidemic diffusion, two different models, the Susceptible-Exposure-InfectedRecovered-Susceptible SEIRS model and the Susceptible-Exposure-Infected-Quarantine-Recovered-Susceptible SEIQRS model, are proposed and analyzed within small-world network in this paper. Firstly, the epidemic diffusionmodels are constructedwithmean-filed theory, and condition for the occurrence of d...

This document derives estimators of frequency and probability for the elimination of numerical instability when processing small samples. The analysis uses the quantitative methodology motivated in previous documents [6, 7]. In particular we show that the expectation of the mean of a Poisson sample is n + 1/2, and for a Binomial sample is (n + 1/2)/(N + 1). We argue that this is a better estima...