Skip to main content
SpringerLink
Log in

Boundary-value technique for the numerical solution of periodic parabolic problems

  • Conference paper
  • First Online:
Numerical Treatment of Differential Equations in Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 679))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. Carasso, A., Parter, S.V.: An analysis of "boundary-value techniques" for parabolic problems. Math. Comput. 24, 315–340 (1970)

    MathSciNet  MATH  Google Scholar 

  2. Cooley, J.W., Tuckey, J.W.: An algorithm for the machine calculation of complex Fourier series. Math. Comput. 19, 297–301 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gekeler, E.: Long-range and periodic solutions of parabolic problems. Math.Z. 134, 53–66 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  4. Gilmour, A.: Solution of certain unsteady heat flow problems by relaxation methods. British J. Appl. Phys. 2, 199–204 (1951)

    Article  Google Scholar 

  5. Greenspan, D.: Approximate solution of initial-boundary parabolic problems by boundary value techniques. MRC Technical Report Nr. 782, Madison, Wis. (1967)

    Google Scholar 

  6. Hockney, R.W.: A fast direct solution of Poisson’s equation using Fourier analysis. Journ. ACM 12, 95–113 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kantorovich, L.V., Krylov, V.I.: Approximate methods of higher analysis. New York: Interscience Publishers 1964

    MATH  Google Scholar 

  8. Koßmann, H.: Randwerttechnik zur numerischen Lösung des vierten Randwertproblems für parabolische Differentialgleichungen. Dissertation, Ruhr-Universität Bochum 1977

    Google Scholar 

  9. Mikhlin, S.G., ed.: Linear equations of mathematical physics. New York: Holt, Rinehart and Winston 1964

    MATH  Google Scholar 

  10. Ortega, J.M., Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables. New York-London: Academic Press 1970

    MATH  Google Scholar 

  11. Polozhii, G.N.: The method of summary representation for numerical solution of problems of mathematical physics. Oxford: Pergamon Press 1965

    MATH  Google Scholar 

Download references

Authors
  1. H. Koßmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Rainer Ansorge Willi Törnig

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Koßmann, H. (1978). Boundary-value technique for the numerical solution of periodic parabolic problems. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067865

Download citation

  • DOI: https://doi.org/10.1007/BFb0067865

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08940-7

  • Online ISBN: 978-3-540-35715-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation