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Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

In this paper we study the combination of averaging theories and the numerical integration of the averaged equations by means of Chebyshev series methods, that permits to obtain the numerical solution as a short Chebyshev series. The proposed scheme is applied to the artificial satellite problem.

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References

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Author information

Authors and Affiliations

  1. GME, Depto. Matemática Aplicada, Edificio de Matemáticas University of Zaragoza, E-50009, Zaragoza, Spain

    Roberto Barrio

Authors
  1. Roberto Barrio
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Barrio, R. (2001). Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_6

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  • DOI: https://doi.org/10.1007/3-540-45262-1_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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