Abstract
In the paper are studied the possibilities of replacing the manual analytical calculation, which intervenes in the mechanical modeling, by an isomorphic numerical calculation which can be performed on digital computers. An algorithm is described for performing the greatest common divisor of two polynomials with several variables that may be used to determine the analytical inverse matrix for a matrix of such polynomials that are used in a mathematical modeling of mechanical phenomena. A new definition of the Euclidean ring is proposed. The question of how much can lead the formal (analytical) calculation in the modeling up to replacing with a numerical method of solution calculation is emphasized.
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Migdalovici, M. (2009). On the Analytical and Numerical Computation in Mechanical Modeling. In: Mastorakis, N., Mladenov, V., Kontargyri, V. (eds) Proceedings of the European Computing Conference. Lecture Notes in Electrical Engineering, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-85437-3_7
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DOI: https://doi.org/10.1007/978-0-387-85437-3_7
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