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A Gradient Hybrid Parallel Algorithm to One-Parameter Nonlinear Boundary Value Problems

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Large-Scale Scientific Computing (LSSC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4818))

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Abstract

We present a novel global algorithm for parallel computers, suitable to solve nonlinear boundary value problems depending on one parameter. The existing scanning and solution following algorithms are extended by a gradient method which is performed on an artificial potential created from the equation system. All three components of the algorithm can be parallelized and thus used in a GRID network. We validate our algorithms on a few small examples.

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Authors and Affiliations

  1. Budapest University of Technology and Economics, Budapest, Hungary

    Dániel Pasztuhov & János Török

Authors
  1. Dániel Pasztuhov
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  2. János Török
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Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersen Plads, Building 321, DK-2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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© 2008 Springer-Verlag Berlin Heidelberg

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Pasztuhov, D., Török, J. (2008). A Gradient Hybrid Parallel Algorithm to One-Parameter Nonlinear Boundary Value Problems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_57

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  • DOI: https://doi.org/10.1007/978-3-540-78827-0_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78825-6

  • Online ISBN: 978-3-540-78827-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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