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Parallel integration across time of initial value problems using PVM

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Parallel Virtual Machine — EuroPVM '96 (EuroPVM 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1156))

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Abstract

This paper shows the efficiency of PVM in the solution of initial value problems on distributed architectures. The method used here is a collocation method showing a large possibility of parallelism across time. The solution of the linear or non linear system, which is a part of the method is obtained with Picard's iterations using divided differences. This solution is also obtained in parallel as well as the values of the approximated solution at different times. Numerical examples are considered. The tests have been performed on a network of workstations and on the Connection Machine CM5.

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References

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Authors and Affiliations

  1. MASI and Institut Blaise Pascal, 4 Place Jussieu, 75252, Paris Cedex05, France

    René Alt & Jean Luc Lamotte

Authors
  1. René Alt
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  2. Jean Luc Lamotte
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Editor information

Arndt Bode Jack Dongarra Thomas Ludwig Vaidy Sunderam

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© 1996 Springer-Verlag Berlin Heidelberg

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Alt, R., Lamotte, J.L. (1996). Parallel integration across time of initial value problems using PVM. In: Bode, A., Dongarra, J., Ludwig, T., Sunderam, V. (eds) Parallel Virtual Machine — EuroPVM '96. EuroPVM 1996. Lecture Notes in Computer Science, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540617795_43

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  • DOI: https://doi.org/10.1007/3540617795_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61779-2

  • Online ISBN: 978-3-540-70741-7

  • eBook Packages: Springer Book Archive

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