A method is introduced for model order reduction of large circuits extracted from layout. The algorithm, which is based on balanced realization, can be used for reducing the order of circuits before circuit-level simulation. In contrast to Padebased algorithms which match the reduced order system with original system in some given frequencies, balanced realization based model algorithms provide...

Parabolic partial differential equations with nonlocal boundary specifications feature in the mathematical modeling of many phenomena. In this paper, numerical schemes are developed for obtaining approximate solutions to the initial boundary value problem for one-dimensional diffusion equation with a nonlocal constraint in place of one of the standard boundary conditions. The method of lines (M...

<p>In this paper, a modified procedure based on the residual power series method (RPSM) was implemented to achieve approximate solution with high degree of accuracy for system multi-pantograph type delay differential equations (DDEs). This is considered as hybrid technique used improve curacy standard RPSM by combining RPSM, Laplace transform and Pade approximant be powerful that can solv...

The objective of this research is to examine the steady incompressible two-dimensional hydromagnetic boundary layer flow nanofluid passing through a stretched sheet in influence viscous and ohmic dissipations. present problem obtained with help an analytical technique called DTM-Pade Approximation. mathematical modeling considered form partial differential equation transformed into suitable sim...

A novel nonparaxial technique based on Pade approximant for modeling ultra short optical pulses has been discussed and verified. The characterization of the technique shows excellent performance in terms of accuracy, efficiency, and stability where the tradiFigure 4 Variation of return loss with frequency for S-MP&SLGPMRMSA-OPMS when Ls1 14 mm. [Color figure can be viewed in the online issue, w...

A 1961 conjecture of Baker, Gammel and Wills asserts that if a function f is meromorphic in the unit ball, and analytic at 0, then a subsequence of its diagonal Pade approximants converges uniformly in compact subsets omitting poles. Inasmuch as the denominators of the Padé approximants are complex orthogonal polynomials, and the convergence of sequences of Padé approximants is determined large...

Some approximation theoretic questions concerning a certain class of neural networks are considered. The networks considered are single input, single output, single hidden layer, feedforward neural networks with continuous sigmoidal activation functions, no input weights but with hidden layer thresholds and output layer weights. Specifically, questions of existence and uniqueness of best approx...

Autoregressive Moving average (ARMA) is a parametric based method of signal representation. It is suitable for problems in which the signal can be modeled by explicit known source functions with a few adjustable parameters. Various methods have been suggested for the coefficients determination among which are Prony, Pade, Autocorrelation, Covariance and most recently, the use of Artificial Neur...