Padé approximations appear to be a powerful tool to extend the validity range of expansions around certain kinematical limits and to combine expansions of different limits to a single interpolating function. After a brief outline of the general method, we will review a number of recent applications and describe the modifications that have to be applied in each case. Among these applications are...

We discuss the analytic continuation beyond μ/T ≃ 1 in QCD at nonzero T and μ by use of the Pade’ approximants. The slope of the critical line obtained in this way increases at large μ with respect to the second order Taylor result.In the hot phase Pade’ and Taylor approximants coincide, suggesting a very large, and possibly infinite, radius of convergence of the Taylor series in this thermodyn...

and Applied Analysis 3 Table 1: The operations for generalized differential transform method. Original function Transformed function f n, t g n, t h n, t F n, k G n, k H n, k f n, t αg n, t F n, k αG n, k f n, t ∂g n, t /∂t F n, k k 1 G n, k 1 f n, t g n, t h n, t F n, k ∑k r 0 G n, r H n, k − r f n, t ∂g n, t /∂t F n, k k m G n, k m f n, t g n s, t F n, k G n s, k To improve the accuracy and c...

The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to porous medium under transverse magnetic field. Eringen’s model is deployed for non-Newtonian characteristics and Buongiorno employed nanoscale effects (thermophoresis Brownian motion). includes double stratification (thermal solutal) also chemical reaction effects, h...

In this paper we prove that all A-stable Padé approximations for the matrix exponential preserve common quadratic Lyapunov functions for switched linear systems.

In this paper, we study theoretically the natural convective boundary-layer flow of a nanofluid past a vertical plate. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is developed. The similarity transformations are applied to reduce the governing partial differential equations to a set of nonlinear coupled ordinary differen...

In this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using Adomian Decomposition Method and Padé approximation(PADM) for boundary problems. Actual results are then compared with results obtained previously  using digital solution by Runge–Kuttamethod and a diffe...

For signal processing, the Wavelet transform (WT) has been shown to be a very promising mathematical tool. WT is efficient for local analysis of nonstationary and fast transient signals due its good estimation of time and frequency localization. In the complex wavelet transform analysis, the modulus maxima and the ± π/2 phase crossings point out the locations of sharp signal transitions. The ph...