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  • 1

    TIDES

    Taylor series Integrator for Differential Equations

    ...TIDES tutorial: Integrating ODEs by using the Taylor Series Method., Monografías de la Academia de Ciencias de la Universidad de Zaragoza. 36, pp. 1-116. * R. Barrio, 2005. Performance of the Taylor series method for ODEs/DAEs, Appl. Math. Comput. 163 (2), pp. 525--545 * R. Barrio, 2006. Sensitivity analysis of ODE's/DAE's using the Taylor series method, SIAM J. on Scientific Computing 27 (6), pp. 1929--1947
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  • 2

    Truncated power series algebra

    Truncated power series algebra

    This project consists of two object-oriented implementations of truncated power series (TPSA) for arbitrary order and number of variables. Addition, subtraction, multiplcation, division, and exponentiation are all implemented in the algebra as overloaded operators. They can also compute with maps, a map being an array of TPSA objects representing a mapping of a space into itself.
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