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math.AC2007★ 13 cited
Bounds for algorithms in differential algebra
Oleg Golubitsky, Marina Kondratieva, Marc Moreno Maza +1
We consider the Rosenfeld-Groebner algorithm for computing a regular decomposition of a radical differential ideal generated by a set of ordinary differential polynomials in n inde…
math.AC2006
On Computation of Kolchin Characteristic Sets: Ordinary and Partial Cases
Marina Kondratieva, Alexey Ovchinnikov
In this paper we study the problem of computing a Kolchin characteristic set of a radical differential ideal. The central part of the article is the presentation of algorithms solv…