Skip to main content
Springer Nature Link
Log in

Grid strategy and high accuracy via defect corrections for the Kreiss-method for stiff boundary value problems

Gitterstrategie und Genauigkeitserhöhungen mittels Defektkorrektur für das Keiss-Verfahren für steife

  • Short Communications
  • Published:
Computing Aims and scope Submit manuscript

Abstract

A grid strategy is developed via the first step of a defect correction applied to the Kreiss method. The full defect corrections are used on the final grid to compute high accuracy approximations efficiently.

Zusammenfassung

Der erste Schriff eines Defektkorrekturverfahrens angewandt auf das Kreiss-Verfahren ermöglicht eine Gitterstrategie. Das vollständige Defektkorrekturverfahren wird auf dem Endgitter zur effizienten Berechnung von Approximationen hoher Genauigkeit herangezogen.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Böhmer, K.: Discrete methods and iterated defect corrections. Numer. Math.37, 167–192 (1981).

    Article  Google Scholar 

  2. Böhmer, K., Hamker, P., Stetter, H. J.: The defect correction approach. in Defect correction methods, theory and applications. Springer-Verlag Wien, New York, Comp. Suppl.5, 1985, 1–32.

    Google Scholar 

  3. Böhmer, K., Römer, Th.: Discrete Newton Method and Grid Strategy for the Kreiss Method for Stiff Boundary Value Problems, 1985.

  4. Böhmer, K., Stetter, H. J.: Defect correction methods, theory and applications. Springer-Verlag Wien, New York, Comp. Suppl.5, 1984.

    Google Scholar 

  5. Brown, D. L.: A numerical method for singular perturbation problems with turning points, to appear in proceedings of 1984 Vancouver two-point boundary value conference. Birkhäuser 1985.

  6. Kreiss, B., Kreiss, H. O.: Numerical methods for singular perturbation problems. SIAM J. Numer. Anal.18, 262–276 (1981).

    Article  Google Scholar 

  7. Kreiss, H.-O., Nichols, N. K., Brown, D. L.: Numerical methods for stiff two-point boundary value problems, Applied Mathematics, California Institute of technology, Pasadena, California, to appear in SIAM J. Number. Anal.

  8. Pearson, C. E.: On a differential equation of boundary layer type. J. Math. Phys.47, 134–154 (1968).

    Google Scholar 

  9. Römer, Th.: Schrittweitenstrategien für steife Randwertprobleme, insbesondere Turning-point-Probleme. MA Thesis, University of Marburg, 1984.

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathemtik der Philipps-Universität, D-3550, Marburg, Germany

    K. Böhmer &  T. Römer

Authors
  1. K. Böhmer
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. T. Römer
    View author publications

    You can also search for this author inPubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Böhmer, K., Römer, T. Grid strategy and high accuracy via defect corrections for the Kreiss-method for stiff boundary value problems. Computing 38, 269–273 (1987). https://doi.org/10.1007/BF02240101

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02240101

AMS Subject Classifications

Key words