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Numerical integration on distributed-memory parallel systems

  • Raimondas Čiegis
  • Ramunas Šablinskas
  • Jerzy Waśniewski
5 Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1332)

Abstract

In this paper we describe the implementation of numerical adaptive algorithms for multi-dimensional quadrature on distributed-memory parallel systems. The algorithms are targeted at clusters of workstations with standard message passing interfaces, e.g., PVM or MPI. The most important issues are communication and load balancing. Static and dynamic partitioning of the region are considered. Numerical results on various workstation clusters are reported.

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References

  1. 1.
    J.M. Bull and T.L. Freeman, Parallel globally adaptive algorithms for multidimensional integration, Appl. Numer. Math. 19 (1995) 3–16.CrossRefGoogle Scholar
  2. 2.
    R. Čiegis, R. Šablinskas, J. Šimkevicius and J. Waśniewski, Load balancing problem for parallel computers with distributed memory, Informatica (1996) (to appear).Google Scholar
  3. 3.
    T.L. Freeman and C. Phillips, Parallel Numerical Algorithms, (Prentice Hall, New York, London, Toronto, Sydney,Tokyo, Singapoore, 1991).Google Scholar
  4. 4.
    A. Geist, A. Beguelin, J. Dongarra, W. Jiang, R. Manchek and V. Sunderam, PVM: Parallel Virtual Machine, (The MIT Press, Cambridge, Massachusetts, London, 1993).Google Scholar
  5. 5.
    A.C. Genz and A.A. Malik, Remarks on Algorithm 006: an adaptive algorithm for numerical integration over an N-dimensional rectangular region, J. Comput. Appl. Math. 6 (1980) 295–302.CrossRefGoogle Scholar
  6. 6.
    A.C. Genz, Subregion adaptive algorithms for multiple integrals, Contemporary Math. 115 (1990) 23–31.Google Scholar
  7. 7.
    L.W. Johnson and R.D. Riess, Numerical Analysis, (Addison-Wesley, Reading, MA, 2nd ed. 1982).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Raimondas Čiegis
    • 1
  • Ramunas Šablinskas
    • 1
  • Jerzy Waśniewski
    • 2
  1. 1.Institute of Mathematics and InformaticsVilniusLithuania
  2. 2.The Danish Computing Centre for Research and EducationLyngbyDenmark

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