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Scheme for Numerical Investigation of Movable Singularities of the Complex Valued Solutions of Ordinary Differential Equations

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Book cover Computer Algebra in Scientific Computing (CASC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8660))

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Abstract

We present structure of integration scheme suitable for ordinary differential equations in some bounded region of the complex plane. The program which bases on these ideas can help to obtain qualitative information about the structure of singularities of solutions in the complex plane. It was tested on two representative examples.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, Warsaw, 02-097, Poland

    Radosław Antoni Kycia

Authors
  1. Radosław Antoni Kycia
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Editor information

Editors and Affiliations

  1. Laboratory of Information Technologies (LIT), Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Vladimir P. Gerdt

  2. Institut für Mathematik, Universität Kassel, Heinrich-Plett-Straße 40, 34132, Kassel, Germany

    Wolfram Koepf

  3. Institut für Mathematik, Universität Kassel, 34132, Kassel, Germany

    Werner M. Seiler

  4. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2014 Springer International Publishing Switzerland

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Kycia, R.A. (2014). Scheme for Numerical Investigation of Movable Singularities of the Complex Valued Solutions of Ordinary Differential Equations. In: Gerdt, V.P., Koepf, W., Seiler, W.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2014. Lecture Notes in Computer Science, vol 8660. Springer, Cham. https://doi.org/10.1007/978-3-319-10515-4_21

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  • DOI: https://doi.org/10.1007/978-3-319-10515-4_21

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10514-7

  • Online ISBN: 978-3-319-10515-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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