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Comparative Analysis of Marching Algorithms for Separable Elliptic Problems

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

Standard marching algorithms (MA) and generalized marching algorithms (GMA) for 2D separable second order elliptic problems on rectangular n×m grids are described. Their numerical stability and computational complexity are theoretically and experimentally compared. Results of numerical experiments performed to demonstrate the stability of GMA versus the instability of MA are presented.

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References

  1. Axelsson O., Vassilevski, P. S.: Solution of Equations Rn (Part II): Iterative Solution of Linear Systems. In: Ciarlet, P., Lions, J. (eds.): Handbook on Numerical Methods, North Holland, to appear.

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Author information

Authors and Affiliations

  1. Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., Bl.25A, 1113, Sofia, Bulgaria

    Gergana Bencheva

Authors
  1. Gergana Bencheva
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Bencheva, G. (2001). Comparative Analysis of Marching Algorithms for Separable Elliptic Problems. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_10

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  • DOI: https://doi.org/10.1007/3-540-45262-1_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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