Christos Douskos

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We present a new technique for the approximate solution of the partial differential equation ∂ 2u ∂x2 + ∂2u ∂y2 + ∂2u ∂z2 +A1 ∂u ∂x+A2 ∂u ∂y+A3 ∂u ∂z = 0 using finite differences. Introducing two auxiliary functions of the coordinate systemand considering the formof the initial equation on lines passing through the nodal point (x0, y0, z0) and parallel to(More)
We explore a discrete Kaldorian macrodynamic model of an open economy with flexible exchange rates, focusing on the effects of variation of the model parameters, the speed of adjustment of the goods market α, and the degree of capital mobility β. We determine by a numerical grid search method the stability region in parameter space and find that flexible(More)
We explore numerically a three-dimensional discrete-time Kaldorian macrodynamic model in an open economy with fixed exchange rates, focusing on the effects of variation of the model parameters, the speed of adjustment of the goods market α, and the degree of capital mobility β on the stability of equilibrium and on the existence of business cycles. We(More)
We present a discrete two-regional Kaldorian macrodynamic model with flexible exchange rates and explore numerically the stability of equilibrium and the possibility of generation of business cycles. We use a grid search method in two-dimensional parameter subspaces, and coefficient criteria for the flip and Hopf bifurcation curves, to determine the(More)
The work proposed in this paper is part of the development of an integrated environment for the exhibition of digitised museum artefacts. This environment will enable the realistic representation of the virtualised ( i e . digitised 3-D surrogates of physical objects) exhibits and the Museum's interiors. The system is currently under development and will(More)
The stability of equilibrium and the possibility of generation of business cycles in a discrete interregional Kaldorian macrodynamic model with fixed exchange rates are explored using numerical methods. One of the aims is to illustrate the feasibility and effectiveness of the numerical approach for dynamical systems of moderately high dimensionality and(More)
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