An algorithm of multisummation of formal power series, solutions of linear ODE equations

@article{Jung1996AnAO,
  title={An algorithm of multisummation of formal power series, solutions of linear ODE equations},
  author={F. Jung and F. Naegele and J. Thomann},
  journal={Mathematics and Computers in Simulation},
  year={1996},
  volume={42},
  pages={409-425}
}
  • F. Jung, F. Naegele, J. Thomann
  • Published 1996
  • Mathematics
  • Mathematics and Computers in Simulation
    • In the neighbourhood of irregular singularities the formal power series solutions of complex analytic ordinary differential equations are generally divergent. The resummation theory developed by J. Ecalle and J.P. Ramis enables us to sum these series by multisummation effective algorithms. In particular we illustrate the computation of solutions of linear differential equations using the principle of multiple summation by iterated Laplace integrals proposed by W. Balser. 
    View via Publisher
    6 Citations
    Background Citations
    1
    Methods Citations
    1
    6 Citations
    Citation Type

    Citation Type

    THE $q$-ANALOGUE OF THE WILD FUNDAMENTAL GROUP(I)(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)
    • 17
    • PDF
    Formal and numerical computations with resurgent functions
    • 4
    The q-analogue of the wild fundamental group (II)
    • 23
    • PDF
    Automatic computation of Stokes matrices
    • 6
    Q A ] 17 N ov 2 00 6 T HE q-ANALOGUE OF THE WILD FUNDAMENTAL GROUP ( I )
    Cited References
    • 44