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...

This article examines the dynamic relationship between two key US money market interest rates – the federal funds rate and the 3-month Treasury bill rate. Using daily data over the period from 1974-99, we find a long-run relationship between these two rates that is remarkably stable across...

Several theoretical models of money demand imply non-linear functional forms for the aggregate demand for money characterized by smooth adjustment towards long-run equilibrium. In this Paper, we propose a non-linear equilibrium correction model of US money demand, which is shown to be stable...

This paper proposes an empirical growth model which is consistent with a stochastic steady-state labour productivity level varying over time and across countries, where the disequilibrium mechanism leading to long-run equilibrium follows a nonlinear equilibrium correction model. Using data for...

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...