We describe a symbolic-numerical method for the Fourier stability analyses of difference initial-value problems approximating the initial-value problems for hyperbolic or parabolic PDEs. The Fourier method is reduced to the algebra of the resultants. We further use the REDUCE computer algebra...

Stability is one of the important properties of time-stepping numerical schemes that are used to approximate partial differential equations. Stability can be analyzed using Von Neumann stability analysis which is a Fourier method. The analysis results in the Von Neumann stability condition which...

We compare classical methods for singular perturbation problems, such as El-Mistikawy and Werle scheme and its modifications, to exponential spline collocation schemes. We discuss subtle differences that exist in applying this method to one dimensional reaction–diffusion problems and...

Several features of the U.S. natural rate of unemployment are reconsidered through specification and testing of econometric models. Traditionally, the choice has been between a wage Phillips curve model, PCM, or an equilibrium correction wage curve model, WECM. The models proposed in this paper...

We derive aggregate supply (AS) relationships for an intermediate-run macro model. The wage-price spiral provides the conceptual framework for a synthesis of different contesting theoretical and empirical perspectives on the AS curve: the Phillips curve model (PCM) and the wage-price equilibrium...

Proton exchange membrane fuel cells (PEMFCs) are devices that attract the interest for a variety of applications including portable devices, transportation and stationary power. Several models are available in the literature concerning PEMFCs with different modelling approaches. In this paper,...

Power system dynamics studies involving fixed-speed wind turbines normally use a wind turbine model consisting of two lumped masses, an elastic coupling and a induction generator model which neglects stator transients. However, validations of this model with measured data are rarely reported in...