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Coefficients for the study of Runge-Kutta integration processes

Published online by Cambridge University Press:  09 April 2009

J. C. Butcher
J. C. Butcher
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch, New Zealand.
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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

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 2 , May 1963 , pp. 185 - 201
Copyright
Copyright © Australian Mathematical Society 1963

References

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