Numerische Mathematik

, Volume 3, Issue 1, pp 381–397 | Cite as

Numerical integration of ordinary differential equations based on trigonometric polynomials

  • Walter Gautschi
Article

Keywords

Differential Equation Ordinary Differential Equation Mathematical Method Trigonometric Polynomial 
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References

  1. [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).Google Scholar
  2. [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. [3]
    Collatz, L.: The numerical treatment of differential equations, 3rd ed. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  4. [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. [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

Copyright information

© Springer-Verlag 1961

Authors and Affiliations

  • Walter Gautschi
    • 1
  1. 1.Mathematics PanelOak Ridge National LaboratoryOak Ridge

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