The cluster-variation-Pade-approximant method is a recently proposed tool, based on the extrapolation of low- and high-temperature results obtained with the cluster-variation method, for the determination of critical parameters in Ising-like models. Here the method is applied to the three-dimensional simple cubic Ising model, and new results, obtained with an 18-site basic cluster, are reported...

The temperature distribution in a conductive-radiative rectangular profiled annular fin with internal heat generation is scrutinized the present investigation. nonlinear variation of thermal conductivity and transfer coefficient governed by power law considered. analytical approximation for non-dimensional profile obtained using differential transform method (DTM)-Pade approximant. nondimension...

This paper presents a novel, simple and accurate delay estimation model for single interconnect and tree interconnects, which is based on new matrix Pade-type approximant (MPTA). The proposed model provides a simpler rational function approximation for estimating delay and overshoot in lossy VLSI interconnects. Computational complexity is reduced by considering rational function denominator as ...

the work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on homotopy analysis method  and adomian decomposition method for solving  differential equations of integer and fractional orders.

A novel non-paraxial Time-Domain technique based on Pade approximant for modeling ultra short optical pulses has been formulated and tested. The new method is an extension to the parabolic Time-Domain Beam Propagation Method (TDBPM) that solves the time domain wave equation along one direction that allows the time window to follow the evolution of the pulse. In this work the technique was appli...

The paper addresses numerical time-domain methods for modeling of active and passive dispersive media, needed for simulations of plasmonic metamaterials. The proposed algorithms differ from published results, as our models employ more general formalisms and are more computationally efficient. The frequency dispersion of the permittivity is considered as an arbitrary Pade approximant, its numeri...

The low-density expansions of the concentration of monomers, dimers, trimers, and the mean cluster size are computed exactly, up through three-body cluster integrals, for a continuumpercolation model of spheres characterized by both exclusion-volume repulsions and shortrange attractions. The compactness of trimers for our model is studied in the dilute limit. Interestingly, the [1,1] Pade appro...