Skip to main content
SpringerLink
Log in

Numerical integration of ordinary differential equations based on trigonometric polynomials

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Antosiewicz, H. A., andW. Gautschi: Numerical methods in ordinary differential equations, Chap. 9 of “Survey of numerical analysis” (ed.J. Todd). New York-Toronto-London: McGraw-Hill Book Co. (in press).

  2. Brock, P., andF. J. Murray: The use of exponential sums in step by step integration. Math. Tables Aids Comput.6, 63–78 (1952).

    Google Scholar 

  3. Collatz, L.: The numerical treatment of differential equations, 3rd ed. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  4. Dennis, S. C. R.: The numerical integration of ordinary differential equations possessing exponential type solutions. Proc. Cambridge Philos. Soc.56, 240–246 (1960).

    Google Scholar 

  5. Urabe, M., andS. Mise: A method of numerical integration of analytic differential equations. J. Sci. Hiroshima Univ., Ser. A,19, 307–320 (1955).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Panel, Oak Ridge National Laboratory, P. O. Box X, Oak Ridge, Tennessee

    Walter Gautschi

Authors
  1. Walter Gautschi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oak Ridge National Laboratory, operated by Union Carbide Corporation for the U. S. Atomic Energy Commission, Oak Ridge, Tennessee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gautschi, W. Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math. 3, 381–397 (1961). https://doi.org/10.1007/BF01386037

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01386037

Keywords

Search

Navigation