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International Conference on Numerical Analysis and Its Applications

NAA 2000: Numerical Analysis and Its Applications pp 102–109Cite as

New Families of Symplectic Runge-Kutta-Nyström Integration Methods

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

Abstract

We present new 6-th and 8-th order explicit symplectic Runge -Kutta-Nyström methods for Hamiltonian systems which are more efficient than other previously known algorithms. The methods use the processing technique and non-trivial flows associated with different elements of the Lie algebra involved in the problem. Both the processor and the kernel are compositions of explicitly computable maps.

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References

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Author information

Authors and Affiliations

  1. DAMTP, University of Cambridge, Silver Street, CB3 9EW, Cambridge, England

    S. Blanes

  2. Departament de Matemàtiques, Universitat Jaume I, 12071, Castellòn, Spain

    F. Casas

  3. Departament de Fýsica Teòrica and IFIC, Universitat de València, 46100, Burjassot, Valencia, Spain

    J. Ros

Authors
  1. S. Blanes
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  2. F. Casas
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  3. J. Ros
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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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Blanes, S., Casas, F., Ros, J. (2001). New Families of Symplectic Runge-Kutta-Nyström Integration Methods. 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_13

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  • DOI: https://doi.org/10.1007/3-540-45262-1_13

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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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