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The purpose of the TaylorSeries.jl package is to provide a framework to exploit Taylor polynomials in one and several variables in the Julia programming language It can be thought of as providing a primitive CAS (computer algebra system), which works numerically and not symbolically. The package allows the user to define dense polynomials p(x) of one variable and p(x) of several variables with a specified maximum degree, and perform operations on them, including powers and composition, as well as series expansions for elementary functions of polynomials, for example expp(x), where techniques of automatic differentiation are used Differentiation and integration are also implemented.
Benet et al. (Sun,) studied this question.
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