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} }
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
383 Citations
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