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Parallel Two-Step W-Methods on Singular Perturbation Problems

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

Parallel two-step W-methods (shortly PTSW-methods) use s linearly-implicit external stages which may be processed in parallel. We discuss convergence properties of these methods on singularly perturbed problems and give estimates for the global error for non-constant stepsizes. Due to the high stage order of the method no order reduction occurs.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik und Informatik, Universität Halle, D-06099, Halle, Germany

    R. Weiner & H. Podhaisky

  2. Fachbereich Mathematik und Informatik, Universität Marburg, D-35032, Marburg, Germany

    B. A. Schmitt

Authors
  1. R. Weiner
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  2. B. A. Schmitt
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  3. H. Podhaisky
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2002 Springer-Verlag Berlin Heidelberg

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Weiner, R., Schmitt, B.A., Podhaisky, H. (2002). Parallel Two-Step W-Methods on Singular Perturbation Problems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_87

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  • DOI: https://doi.org/10.1007/3-540-48086-2_87

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

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