# 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
386 Citations

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