In Karampetakis (1995) an algorithm for computing the generalized inverse of a singular polynomial matrix A(s) ∈ R[s] n×m has been presented. In this paper the algorithm is extended to that of the singular rational matrix, A(s) ∈ R(s) n×m , and the algorithm is subsequently implemented in the symbolic computational package Maple. Several applications of its use are given.

Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2001The main objective of this paper is to determine a closed formula for the forward, backward, and symmetric solution of a general discrete-time Autoregressive Moving Average representation. The importance of this formula is that it is easily implemented in a computer algorithm and gives rise to the solution of analysis, synthesis, and design problems

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Most practical combustion systems involve complex geometry configurations and CFD techniques used for the calculation of flow and combustion in such geometries use body-fitted non-orthogonal mesh systems. This paper reviews some of the currently available radiative heat transfer calculation techniques suitable for such CFD applications. The Monte Carlo method, the discrete transfer method, the YIX method, the discrete ordinates method and the finite volume method are discussed and some notable applications related to combustion problems are reviewed. Comparative results using all the methods outlined are presented for bench mark problems and their applicability to complex geometry situations are discussed. Radiative heat flux predictions for an S.I. engine simulation are presented to demonstrate the capability of the discrete transfer method in a pent-roof complex geometry combustion chamber. The paper also describes a ray based technique for the handling of turbulence-radiation interactions in combustion and its application is demonstrated in the prediction of a methane diffusion flame.

In [3] closed formulae for the forward, backward and symmetric solutions of an ARMA-Representation have been presented. Here these formulae are implemented in the symbolic computational language MAPLE and corresponding MAPLE code is provided.