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...

Linear dynamic equilibrium correction mechanisms are shown to follow from the discretisation of continuous economic processes with steady-state solutions. In addition, the proposed procedure on the coefficients of the dynamic econometric model.

New Keynesian model with wages and prices is introduced and estimated by maximum likelihood. The steady state relationships of the model are imposed as testable restrictions on the long-run cointegrating relationships in an equilibrium correction framework, giving an equilibrium correction model...

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...

Empirical models of Australian wages and prices are either single equation, equilibrium correction models or structural VAR models. Both theory and empirical evidence from other countries, however, suggests that wages and prices are jointly determined. Consequently, this paper estimates a...

Inflation targeting requires inflation forecasts, yet most models in the literature are either theoretical or calibrated. The motivation for this paper is therefore threefold: We seek to test and implement an econometric model forforecasting inflation in Norway–one economy recently opting for...

Empirical models of inflation often incorporate equilibrium correction effects based upon levels of prices and input costs. Such models assume that the steady-state price-cost markup is constant, but recent research suggests that this may not be true for the Euro area economy, which has...