Volterra Series and Numerical Approximations of ODEs

  • Nikolay Kirov
  • Mikhail Krastanov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3401)


A numerical approach for solving systems of nonautonomous ordinary differential equations (ODEs) is proposed under suitable assumptions. This approach is based on expansion of the solutions of ODEs by Volterra series and allows to estimate the distance between the obtained approximation and the true trajectory.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Nikolay Kirov
    • 1
  • Mikhail Krastanov
    • 1
  1. 1.Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofia

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