Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
A Runge-Kutta method of order 10 which minimizes truncation error
Hiroshi Ono
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2003 Volume 13 Issue 1 Pages 35-44

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Abstract
In this paper, we generalized the order condtions which E. Hairer proposed for the explicit 17-stage 10th order Runge-Kutta methods in 1978. We proposed the explicit 17-stage 10th order Runge-Kutta formula for which the truncation error is minimum.
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© 2003 The Japan Society for Industrial and Applied Mathematics
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