Hiroshima Mathematical Journal

On one-step methods for ordinary differential equations

Hisayoshi Shintani

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 7, Number 3 (1977), 769-786.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206135659

Digital Object Identifier
doi:10.32917/hmj/1206135659

Mathematical Reviews number (MathSciNet)
MR0478637

Zentralblatt MATH identifier
0393.65030

Subjects
Primary: 65L05: Initial value problems

Citation

Shintani, Hisayoshi. On one-step methods for ordinary differential equations. Hiroshima Math. J. 7 (1977), no. 3, 769--786. doi:10.32917/hmj/1206135659. https://projecteuclid.org/euclid.hmj/1206135659


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References

  • [1] F. Ceschino, Evaluation de erreur par pas dans les problmes dffrentiels, Chiffres 4 (1962), 223-229.
  • [2] J. D. Lambert, Computational methods in ordinary differential equations, John Wiley and Sons, 1973.
  • [3] L.F.Shampine and H.A. Watts, Comparing error estimators for Runge-Kutta methods, Math. Comput. 25 (1971), 445-455.
  • [4] H. Shintani, On a one-step method of order 4, J. Sci. Hiroshima Univ., Ser. A-l. 30 (1966), 91-107.
  • [5] H. Shintani, Two-step processes by one-step methods of order 3 and of order 4, J. Sci. Hiroshima Univ., Ser. A-l. 30 (1966), 183-195.
  • [6] P. J. van der Houwen, Construction of integration formulas for initial value problems, North-Holland Publishing Co., 1977.