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Solving Generalized Boundary Value Problems with Distributed Computing and Recursive Programming

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Recent Advances in Parallel Virtual Machine and Message Passing Interface (EuroPVM/MPI 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1697))

Abstract

A wide field of technical problems can be described by boundary value problems (BVPs) associated with ordinary differential equations (ODEs). We show a numerical method and its distributed parallel implementation for solving BVPs. We generalize our method presented earlier in [5] to a recursive scheme, capable of solving more complex technical problems, such as global search for stability boundaries. In this paper we also present the efficient, PVM based implementation of our recursive algorithm.

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References

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Author information

Authors and Affiliations

  1. Department of Control Engineering and Information Technology, H-1521, Budapest, Hungary

    Imre Szeberényi

  2. Department of Strength of Materials, Technical University of Budapest, H-1521, Budapest, Hungary

    Gábor Domokos

Authors
  1. Imre Szeberényi
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  2. Gábor Domokos
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Editor information

Editors and Affiliations

  1. OakRidge National Laboratory, University of Tennessee, 107, Ayres Hall, Knoxville, TN, 37996-1301, USA

    Jack Dongarra

  2. Computer Science Department Computer Architecture and Operating Systems Group, Universitat Autònoma of Barcelona, E-08193, Bellaterra, Barcelona, Spain

    Emilio Luque  & Tomàs Margalef  & 

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© 1999 Springer-Verlag Berlin Heidelberg

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Szeberényi, I., Domokos, G. (1999). Solving Generalized Boundary Value Problems with Distributed Computing and Recursive Programming. In: Dongarra, J., Luque, E., Margalef, T. (eds) Recent Advances in Parallel Virtual Machine and Message Passing Interface. EuroPVM/MPI 1999. Lecture Notes in Computer Science, vol 1697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48158-3_33

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  • DOI: https://doi.org/10.1007/3-540-48158-3_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66549-6

  • Online ISBN: 978-3-540-48158-4

  • eBook Packages: Springer Book Archive

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