We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. This is used to prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a ...

Abstract We introduce and analyse a fully discrete approximation for mathematical model the solidification liquidation of materials negligible specific heat. The is two-sided Mullins–Sekerka problem. discretization uses finite elements in space an independent parameterization moving free boundary. prove unconditional stability exact volume conservation introduced scheme. Several numerical simul...

Recently, multi-time stepping methods have become very popular among scientist due to their high stability in problems with critical conditions. One important shortcoming of these methods backs to their high amount of uncontrolled amplitude decay. This study proposes a new multi-time stepping method in which the time step is split into two sub-steps. The first sub-step is solved using the well-...

This paper presents a numerical technique to approximate the Rayleigh–Stokes model for generalised Maxwell fluid formulated in Riemann–Liouville sense. The proposed method consists of two stages. First, time discretization problem is accomplished by using finite difference. Second, space obtained means predictor–corrector method. unconditional stability result and convergence analysis are analy...

In this paper, we first established a high-accuracy difference scheme for the time-fractional Schrödinger equation (TFSE), where factional term is described in Caputo derivative. We used L1-2-3 formula to approximate derivative, and fourth-order compact finite utilized discretizing spatial term. The unconditional stability convergence of maximum norm are proved. Finally, verified theoretical re...

Quantum teleportation of optical coherent states was demonstrated experimentally using squeezed-state entanglement. The quantum nature of the achieved teleportation was verified by the experimentally determined fidelity Fexp = 0.58 +/- 0.02, which describes the match between input and output states. A fidelity greater than 0.5 is not possible for coherent states without the use of entanglement....

In this paper, we investigate the concept of unconditional transfer within various forms of regulated grammars like programmed grammars, matrix grammars, grammars with regular control, grammars controlled by bicoloured digraphs, and periodically time-variant grammars , especially regarding their descriptive capacity. Moreover, we sketch the relations to restricted parallel mechanisms like k-, u...

In this paper, we consider numerical approximations for solving the micropolar Navier-Stokes (MNS) equations, that couples equations and angular momentum equation together. By combining scalar auxiliary variable (SAV) approach convective terms some subtle implicit-explicit (IMEX) treatments coupling terms, propose a decoupled, linear unconditionally energy stable scheme system. We further deriv...