Coefficients for the study of Runge-Kutta integration processes
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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
[1] S. Gill,et al. A process for the step-by-step integration of differential equations in an automatic digital computing machine , 1951, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] G. Pólya,et al. Aufgaben und Lehrsätze aus der Analysis , 1926, The Mathematical Gazette.
[3] W. Kutta. Beitrag zur Naherungsweisen Integration Totaler Differentialgleichungen , 1901 .
[4] C. Runge. Ueber die numerische Auflösung von Differentialgleichungen , 1895 .