Skip to main content

A Parallel Multiparametric Gauss-Seidel Method

  • Conference paper
Numerical Mathematics and Advanced Applications
  • 1434 Accesses

Abstract

In this paper we consider the local Modified Extrapolated Gauss-Seidel(LMEGS) method combined with Semi-Iterative techniques for the numerical solution of the Convection Diffusion equation and compare it with the local SOR method. Subject classification : AMS(MOS), 65F10. Keywords : Parallel Iterative methods, linear systems, semi-iterative methods, Fourier analysis, Gauss-Seidel method, convection diffusion equation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Boukas, L.A., Missirlis, N.M.: The Parallel Local Modified SOR for nonsymmetric linear systems. Inter. J. Computer Math., 68, 153–174 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  2. Consta, A.A, Missirlis, N.M., Tzaferis, F.I.: The local modified extrapolated Gauss-Seidel(LMEGS) method. Computers and Structures, 82, 2447–2451 (2004)

    Article  MathSciNet  Google Scholar 

  3. Ehrlich, L.W.: An Ad-Hoc SOR Method. J. Comput. Phys., 42, 31–45 (1981)

    Article  Google Scholar 

  4. Kuo, C.-C.J., Levy, B.C., Musicus, B.R.: A local relaxation method for solving elliptic PDE's on mesh-connected arrays. SIAM J. Sci. Statist. Comput., 8, 530–573 (1987)

    MathSciNet  Google Scholar 

  5. Missirlis, N.M.: The extrapolated first order method for solving systems with complex eigenvalues. BIT, 24, 357–365 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  6. Stuben, K., Trottenberg, U.: Multigrid methods: Fundamental algorithms, model problem analysis and applications in Multigrid Methods. U. Trottenberg ed., Springer Verlag, New York (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Missirlis, N., Tzaferis, F. (2006). A Parallel Multiparametric Gauss-Seidel Method. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_29

Download citation

Publish with us

Policies and ethics