Coefficients for the study of Runge-Kutta integration processes

  title={Coefficients for the study of Runge-Kutta integration processes},
  author={John C. Butcher},
  journal={Journal of the Australian Mathematical Society},
  pages={185 - 201}
  • J. Butcher
  • Published 1 May 1963
  • Mathematics
  • Journal of the Australian Mathematical Society
We consider a set of η first order simultaneous differential equations in the dependent variables y1, y2, …, yn and the independent variable x ⋮ No loss of gernerality results from taking the functions f1, f2, …, fn to be independent of x, for if this were not so an additional dependent variable yn+1, anc be introduced which always equals x and thus satisfies the differential equation 
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  • S. Gill
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1951
It is advantageous in automatic computers to employ methods of integration which do not require preceding function values to be known, and one such process is chosen giving fourth-order accuracy and requiring the minimum number of storage registers.
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t)ber die numerische Integration von Differentialgleichungen
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