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On the integration processes of A. Huťa

Published online by Cambridge University Press:  09 April 2009

J. C. Butcher
J. C. Butcher
Affiliation:
University of Canterbury, Christchurch, New Zealand.
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Huta [1], [2] has given two processes for solving a first order differential equation to sixth order accuracy. His methods are each eight stage Runge-Kutta processes and differ mainly in that the later process has simpler coefficients occurring in it.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 2 , May 1963 , pp. 202 - 206
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Huťa, A., Une amélioration de la méthode de Runge-Kutta-Nystöm pour la résolution numérique des équations différentielles du premier order, Acta Fac. Nat. Univ. Comenian. Math. 1 (1956), 201–224.Google Scholar
[2]Huťa, A., Contribution à la formule de sixième ordre dans la méthode de Runge-Kutta-Nyström, Acta Fac. Nat. Univ. Comenian. Math. 2 (1957), 21–24.Google Scholar
[3]Butcher, J. C., Coefficients for the study of Runge-Kutta integration processes, This Journal 3 (1963), 185–201.Google Scholar