Coefficients for the study of Runge-Kutta integration processes

@article{Butcher1963CoefficientsFT,
  title={Coefficients for the study of Runge-Kutta integration processes},
  author={John C. Butcher},
  journal={Journal of the Australian Mathematical Society},
  year={1963},
  volume={3},
  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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