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Automatic programming of recurrent power series

Author

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  • Lara, Martı́n
  • Elipe, Antonio
  • Palacios, Manuel

Abstract

The integration of differential equations by recurrent power series is a classical method in ODE. This method is valid on very long spans of integration and unusually large step-sizes. However, this method is rarely used, mainly since each problem requires a specific formulation.

Suggested Citation

  • Lara, Martı́n & Elipe, Antonio & Palacios, Manuel, 1999. "Automatic programming of recurrent power series," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 49(4), pages 351-362.
    • Handle: RePEc:eee:matcom:v:49:y:1999:i:4:p:351-362
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    References listed on IDEAS

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    1. Abad, A. & Elipe, A. & Palacián, J. & San-Juan, J.F., 1998. "ATESAT: A symbolic processor for artificial satellite theory," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(5), pages 497-510.
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    Cited by:

    1. Abad, A. & Barrio, R. & Marco-Buzunariz, M. & Rodríguez, M., 2015. "Automatic implementation of the numerical Taylor series method: A Mathematica and Sage approach," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 227-245.

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