D. C. Carothers

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In [7] and [8], Parker and Sochacki considered iterative methods for computing the power series solution to y′ = G ◦ y where G is a polynomial from Rn to Rn, including truncations of Picard iteration. The authors demonstrated that many ODE’s may be transformed into computationally feasible polynomial problems of this type, and the methods generalize to a(More)
There is a large overlap in the work of the Automatic Differentiation community and those whose use Power Series Methods. Automatic Differentiation is predominately applied to problems involving differentiation, and Power series began as a tool in the ODE setting. Three examples are presented to highlight this overlap, and several interesting results are(More)
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