We analyze a nonlinear shock-capturing scheme for H1-conforming, piecewise-affine finite element approximations of linear elliptic problems. The meshes are assumed to satisfy two standard conditions: a local quasiuniformity property and the Xu–Zikatanov condition ensuring that the stiffness matrix associated with the Poisson equation is an M -matrix. A discrete maximum principle is rigorously e...

In this paper, we consider a class of generalized continuous-state branching processes obtained by Lamperti type time changes spectrally positive Lévy using different rate functions. When explosion occurs to such process, show that the process converges infinity in finite asymptotically along deterministic curve, and identify speed for function regimes. To prove main theorems, also establish ne...

In this paper, a comparison among the hybrid of Fourier Transform and AdomianDecomposition Method (FTADM) and Homotopy Perturbation Method (HPM) is investigated.The linear and non-linear Newell-Whitehead-Segel (NWS) equations are solved and the results arecompared with the exact solution. The comparison reveals that for the same number of componentsof recursive sequences, the error of FTADM is ...

We propose a second order finite volume scheme for nonlinear degenerate parabolic equations. For some of these models (porous media equation, drift-diffusion system for semiconductors, ...) it has been proved that the transient solution converges to a steady-state when time goes to infinity. The present scheme preserves steady-states and provides a satisfying long-time behavior. Moreover, it re...

In the self-stabilizing algorithmic paradigm, each node has a local view of the system, in a finite amount of time the system converges to a global state with desired property. In a graph , a subset is a -packing if . In this paper, an ID-based, constant space, self-stabilizing algorithm that stabilizes to a maximal -packing in an arbitrary graph is proposed. It is shown that the algorithm stab...

If one considers a sampled-data system derived from a continuous-time system with a relative degree of one or two on a finite-time interval, it is not simple to predict the behavior of the output of the inverse of the sampled-data system as the sampling period goes to zero. This is because the number of sample points increases while the zeros of the pulse-transfer function tend to the boundary ...

The directional dynamics of the resonant Rayleigh scattering from a semiconductor microcavity is investigated. When optically exciting the lower polariton branch, the strong dispersion results in a directional emission on a ring. The coherent emission ring shows a reduction of its angular width for increasing time after excitation, giving direct evidence for the time-energy uncertainty in the d...

We propose a second order finite volume scheme for nonlinear degenerate parabolic equations. For some of these models (porous media equation, drift-diffusion system for semiconductors, ...) it has been proved that the transient solution converges to a steady-state when time goes to infinity. The present scheme preserves steady-states and provides a satisfying long-time behavior. Moreover, it re...

In this paper, a modified distributed Nash equilibrium seeking problem with input saturation has been investigated. The payoff function of each player is related to the communication topology, which closer actual scenes. sigmoid utilized limit range input. Through network between players and gradient players’ functions, finite-time fixed-time protocols are given. Using Lyapunov stability analys...

We show that the discrete approximate volume preserving mean curvature flow in flat torus $$\mathbb {T}^N$$ starting near a strictly stable critical set E of perimeter converges long time to translate exponentially fast. As an intermediate result we establish new quantitative estimate Alexandrov type for periodic constant hypersurfaces. Finally, two dimensional case complete characterization be...