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Computer Algebra Tools for Handling Ordinary Differential Equations

Exploitable results

A study has been made of the specification of fundamental descriptions of solutions of equations and primitive functions to develop, for the first time, an integrated set of tools, using computer algebra, for handling ordinary differential equations. One of the main goals is to show that the analytic tools developed are of major importance for applications, with investigations in the following domains: study of electric circuits (error estimation, stabilization); study of formation of electric discharges in gases; study of rate of equations describing fragmentation processes.

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