Asymptotic Forms and Algebraic Differential Equations |
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Affiliation: | University of Kent at Canterbury, Canterbury, Kent CT2 7NF, England and INRIA Rocquencourt, 78153 Le Chesnay Cedex, France |
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Abstract: | We analyse the complexity of a simple algorithm for computing asymptotic solutions of algebraic differential equations. This analysis is based on a computation of the number of possible asymptotic monomials of a certain order, and on the study of the growth of this number as the order of the equation grows. |
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