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Clustering Technique for Rearranging ODE Systems

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Parallel Processing Techniques for Simulation

Part of the book series: Applied Information Technology ((AITE))

Abstract

This report presents a technique which makes use of the concept of single and double connected clusters to rearrange a large system of ODEs into a ‘nearly’ block-diagonal form. The eventual aim is to partition the large system of ODEs into subsystems with few interactions between them. This is useful, for example, when employing parallel processing together with decomposition techniques for simulating large dynamic systems. Based on the analysis presented, an algorithm has been implemented which provides an automatic procedure for clustering system variables in a desired form.

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References

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© 1986 Plenum Press, New York

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Lei, S., Allidina, A.Y., Malinowski, K. (1986). Clustering Technique for Rearranging ODE Systems. In: Singh, M.G., Allidina, A.Y., Daniels, B.K. (eds) Parallel Processing Techniques for Simulation. Applied Information Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5218-1_3

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  • DOI: https://doi.org/10.1007/978-1-4684-5218-1_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5220-4

  • Online ISBN: 978-1-4684-5218-1

  • eBook Packages: Springer Book Archive

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