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On the attainable order of Runge-Kutta methods


Author: J. C. Butcher
Journal: Math. Comp. 19 (1965), 408-417
MSC: Primary 65.60
DOI: https://doi.org/10.1090/S0025-5718-1965-0179943-X
MathSciNet review: 0179943
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References [Enhancements On Off] (What's this?)

  • [1] J. C. Butcher, ``Coefficients for the study of Runge-Kutta integration processes,'' J. Austral. Math. Soc., v. 3, 1963, pp. 185-201. MR 27 #2109. MR 0152129 (27:2109)
  • [2] J. C. Butcher, ``On Runge-Kutta processes of high order,'' J. Austral. Math. Soc., v. 4, 1964, pp. 179-194. MR 29 #2972. MR 0165692 (29:2972)
  • [3] H. A. Antosiewicz & W. Gautbchi, ``Numerical methods in ordinary differential equations,'' A Survey of Numerical Analysis, McGraw-Hill, New York, 1962, pp. 314-346. MR 24 #B2114. MR 0136075 (24:B2114)

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DOI: https://doi.org/10.1090/S0025-5718-1965-0179943-X
Article copyright: © Copyright 1965 American Mathematical Society

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